Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 1735-8515 42 6 2016 12 18 Image processing by alternate dual Gabor frames 1305 1314 EN A. Arefijammal Department of Mathematics and Computer Sciences‎, ‎Hakim Sabzevari University‎, ‎Sabzevar‎, ‎Iran. arefijamaal@hsu.ac.ir E. Zekaee Department of Mathematics‎, ‎Shahrood University of‎ ‎Technology‎, ‎Shahrood‎, ‎Iran. zekaee.esmaeel@gmail.com ‎We present an application of the dual Gabor frames to image‎ ‎processing‎. ‎Our algorithm is based on finding some dual Gabor‎ ‎frame generators which reconstructs accurately the elements of the‎ ‎underlying Hilbert space‎. ‎The advantages of these duals‎ ‎constructed by a polynomial of Gabor frame generators are compared‎ ‎with their canonical dual‎. Gabor frame‎,‎dual frame‎,‎alternate dual frame‎,‎image‎ ‎processing‎ http://bims.iranjournals.ir/article_893.html http://bims.iranjournals.ir/article_893_b5c916fea6f1c621cd65bf56bfe40a17.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 1735-8515 42 6 2016 12 18 A remark on the means of the number of divisors 1315 1330 EN M. Hassani Department of Mathematics‎, ‎University of Zanjan‎, ‎University Blvd.‎, ‎45371-38791‎, ‎Zanjan‎, ‎Iran. mehdi.hassani@znu.ac.ir ‎We obtain the asymptotic expansion of the sequence with general term \$frac{A_n}{G_n}\$‎, ‎where \$A_n\$ and \$G_n\$ are the arithmetic and geometric means of the numbers \$d(1),d(2),dots,d(n)\$‎, ‎with \$d(n)\$ denoting the number of positive divisors of \$n\$‎. ‎Also‎, ‎we obtain some explicit bounds concerning \$G_n\$ and \$frac{A_n}{G_n}\$. Arithmetic function‎,‎arithmetic mean‎,‎geometric mean‎,‎growth of arithmetic functions http://bims.iranjournals.ir/article_894.html http://bims.iranjournals.ir/article_894_9034a853545c34bb0518d238b490e090.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 1735-8515 42 6 2016 12 18 Co-centralizing generalized derivations acting on multilinear polynomials in prime rings 1331 1342 EN B. Dhara Department of Mathematics‎, ‎Belda College‎, ‎Belda‎, ‎Paschim Medinipur‎, ‎721424‎, ‎W.B.‎, ‎India. basu_dhara@yahoo.com S. Kar Department of Mathematics‎, ‎Jadavpur University‎, ‎Kolkata-700032‎, ‎W.B.‎, ‎India. karsukhendu@yahoo.co.in K. G. Pradhan {Department of Mathematics‎, ‎Belda College‎, ‎Belda‎, ‎Paschim Medinipur‎, ‎721424‎, ‎W.B.‎, ‎India. kgp.math@gmail.com ‎Let \$R\$ be a noncommutative prime ring of‎ ‎characteristic different from \$2\$‎, ‎\$U\$ the Utumi quotient ring of \$R\$‎, ‎\$C\$ \$(=Z(U))\$ the extended centroid‎ ‎of \$R\$‎. ‎Let \$0neq ain R\$ and \$f(x_1,ldots,x_n)\$ a multilinear‎ ‎polynomial over \$C\$ which is noncentral valued on \$R\$‎. ‎Suppose‎ ‎that \$G\$ and \$H\$ are two nonzero generalized derivations of \$R\$‎ ‎such that \$a(H(f(x))f(x)-f(x)G(f(x)))in C\$ for all‎ ‎\$x=(x_1,ldots,x_n)in R^n\$‎. ‎ one of the following holds‎: <br />‎\$f(x_1,ldots,x_n)^2\$ is central valued on \$R\$ and there exist \$b,p,qin U\$ such‎ ‎that \$H(x)=px+xb\$ for all \$xin R\$‎, ‎\$G(x)=bx+xq\$ for all \$xin R\$ with \$a(p-q)in C\$;‎ <br />‎there exist \$p,qin U\$ such that \$H(x)=px+xq\$ for all \$xin R\$‎, <br />‎\$G(x)=qx\$ for all \$xin R\$ with \$ap=0\$;‎ <br /> \$f(x_1,ldots,x_n)^2\$ is central valued on \$R\$ and there exist \$qin U\$‎, ‎\$lambdain C\$ and an outer derivation \$g\$ of \$U\$‎ <br />‎such that \$H(x)=xq+lambda x-g(x)\$ for all \$xin R\$‎, ‎\$G(x)=qx+g(x)\$ for all \$xin R\$‎, ‎with \$ain C\$;‎ <br />\$R\$ satisfies \$s_4\$ and there exist \$b,pin U\$ such‎ ‎that \$H(x)=px+xb\$ for all \$xin R\$‎, ‎\$G(x)=bx+xp\$ for all \$xin R\$‎. Prime ring‎,‎generalized derivation‎,‎extended‎ ‎centroid‎ http://bims.iranjournals.ir/article_895.html http://bims.iranjournals.ir/article_895_8c03085c5ab1d35e79d83f6495139262.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 1735-8515 42 6 2016 12 18 Global convergence of an inexact interior-point method for convex quadratic‎ ‎symmetric cone programming‎ 1363 1385 EN M. Pirhaji Department of Applied Mathematics‎, ‎Faculty of‎ ‎Mathematical Sciences‎, ‎Shahrekord University‎, ‎P.O‎. ‎Box 115‎, ‎Shahrekord‎, ‎Iran. mojtabapirhaji@yahoo.com H. Mansouri Department of Applied Mathematics‎, ‎Faculty of‎ ‎Mathematical Sciences‎, ‎Shahrekord University‎, ‎P.O‎. ‎Box 115‎, ‎Shahrekord‎, ‎Iran. mansouri@sci.sku.ac.ir M. Zangiabadi Department of Applied Mathematics‎, ‎Faculty of ‎Mathematical Sciences‎, ‎Shahrekord University‎, ‎P.O‎. ‎Box 115‎, ‎Shahrekord‎, ‎Iran. zangiabadi-m@sci.sku.ac.ir ‎In this paper‎, ‎we propose a feasible interior-point method for‎ ‎convex quadratic programming over symmetric cones‎. ‎The proposed algorithm relaxes the‎ ‎accuracy requirements in the solution of the Newton equation system‎, ‎by using an inexact Newton direction‎. ‎Furthermore‎, ‎we obtain an‎ ‎acceptable level of error in the inexact algorithm on convex‎ ‎quadratic symmetric cone programming (CQSCP)‎. ‎We also prove that the iteration‎ ‎bound for the feasible short-step method is‎ ‎\$O(sqrt{n}logfrac{1}{varepsilon})\$‎, ‎and‎ ‎\$O(nlogfrac{1}{varepsilon})\$ for the large-step method which coincide with the currently best‎ ‎known iteration bounds for CQSCPs. Convex quadratic symmetric cone programming‎,‎short‎ ‎and large step feasible‎,‎inexact search directions‎,‎polynomial complexity‎ http://bims.iranjournals.ir/article_897.html http://bims.iranjournals.ir/article_897_bc55eece1cb0cab824b2d11aa4f3e3ec.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 1735-8515 42 6 2016 12 18 Quasilinear Schrödinger equations involving critical exponents in \$mathbb{textbf{R}}^2\$ 1387 1401 EN Y. Wu Department of Mathematics and Computer Science‎, ‎Guizhou‎ ‎Normal University‎, ‎Guiyang‎, ‎Guizhou‎, ‎550001‎, ‎P‎. ‎R‎. ‎of China. wuyun73224@163.com Y. Yao School of Mathematics‎, ‎South China University of Technology‎, ‎Guangzhou‎, ‎Guangdong 510640‎, ‎P‎. ‎R‎. ‎of China. mayxyao@scut.edu.cn ‎We study the existence of soliton solutions for a class of‎ ‎quasilinear elliptic equation in \$mathbb{textbf{R}}^2\$ with critical exponential growth‎. ‎This model has been proposed in the self-channeling of a‎ ‎high-power ultra short laser in matter‎. Schrödinger equations,mountain pass theorem,Soliton solutions,critical exponents http://bims.iranjournals.ir/article_898.html http://bims.iranjournals.ir/article_898_1e40b3dd419ecdd6d6aa9bdd508eb76b.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 1735-8515 42 6 2016 12 18 Simple groups with the same prime graph as \$D_n(q)\$ 1403 1427 EN B. Khosravi Department of Pure Mathematics‎, ‎Faculty of Mathematics and Computer Sciences‎, ‎Amirkabir University of Technology‎, ‎424‎, ‎Hafez Ave.‎, ‎Tehran 15914‎, ‎Iran. khosravibbb@yahoo.com A. Babai Department of Mathematics‎, ‎University of Qom‎, ‎P.O‎. ‎Box 37185-3766‎, ‎Qom‎, ‎Iran‎. a_babaie2002@gmail.com Vasil'ev posed Problem 16.26 in [The Kourovka Notebook: Unsolved Problems in Group Theory, 16th ed.,<br />Sobolev Inst. Math., Novosibirsk (2006).] as follows:<br />Does there exist a positive integer \$k\$ such that there are no \$k\$ pairwise nonisomorphic<br />nonabelian finite simple groups with the same graphs of primes? Conjecture: \$k = 5\$.<br /><br />In [Zvezdina, On nonabelian simple groups having the same prime graph as an alternating group,<br /> Siberian Math. J., 2013] the above conjecture is positively answered when one of these pairwise nonisomorphic groups is an alternating group.<br /><br />In this paper, we continue this work and determine all nonabelian simple groups, which have the same prime graph as the nonabelian simple group \$D_n(q)\$. Prime graph,simple group,Vasil'ev conjecture http://bims.iranjournals.ir/article_899.html http://bims.iranjournals.ir/article_899_fccfee9cd92567c1b231239ddc9bfa0f.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 1735-8515 42 6 2016 12 15 Positive solutions of \$n\$th-order \$m\$-point boundary value problems 1429 1439 EN I. ‎ Yaslan Karaca Department of Mathematics‎, ‎Ege University‎, ‎Bornova‎, ‎35100 Izmir‎, ‎Turkey. ilkay.karaca@ege.edu.tr F. Tokmak Fen Neuroscience Institute‎, ‎Georgia State University‎, ‎Atlanta‎, ‎Georgia‎, ‎30303 USA; Department of Mathematics‎, ‎Gazi University‎, ‎Teknikokullar‎, ‎06500 Ankara‎, ‎Turkey. ‎In this paper‎, ‎by using four functionals fixed point theorem‎, ‎we obtain sufficient conditions for the existence of‎ ‎at least one positive solution of an \$n\$th-order \$m\$-point boundary value problem‎. ‎As an application‎, ‎we give an example to demonstrate our main result. Fixed-point theorem‎,‎positive solution‎,‎\$m\$-point boundary value problem‎ http://bims.iranjournals.ir/article_900.html http://bims.iranjournals.ir/article_900_67943c2d6f324d2bd9469252d67e06c0.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 1735-8515 42 6 2016 12 18 On generalizations of semiperfect and perfect rings 1441 1450 EN Y. Mehmet Demirci Department of Mathematics, Sinop University, 57000, Sinop, Turkey. yilmazmdemirci@gmail.com ‎We call a ring \$R\$ right generalized semiperfect if every simple right \$R\$-module is an epimorphic image of a flat right \$R\$-module with small kernel‎, ‎that is‎, ‎every simple right \$R\$-module has a flat \$B\$-cover‎. ‎We give some properties of such rings along with examples‎. ‎We introduce flat strong covers as flat covers which are also flat \$B\$-covers and give characterizations of \$A\$-perfect‎, ‎\$B\$-perfect and perfect rings in terms of flat strong covers. Flat cover‎,‎flat \$B\$-cover‎,‎flat strong cover‎,‎\$G\$-semiperfect ring‎,‎perfect ring‎ http://bims.iranjournals.ir/article_901.html http://bims.iranjournals.ir/article_901_546323e6ae36551a0f01a84955ee0e0c.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 1735-8515 42 6 2016 12 18 Existence and nonexistence of positive solution for sixth-order boundary value problems 1451 1458 EN H. Mirzaei Faculty of Basic Sciences‎, ‎Sahand University of Technology‎, ‎Tabriz‎, ‎Iran. h_mirzaei@sut.ac.ir ‎In this paper‎, ‎we formulate the sixth-order boundary value problem as Fredholm integral equation by finding Green's function and obtain the sufficient conditions for existence and multiplicity of positive solution for this problem‎. ‎Also nonexistence results are obtained‎. ‎An example is given to illustrate the results of paper‎. Sixth order boundary value problem‎,‎positive solution‎,‎Green's function‎ http://bims.iranjournals.ir/article_902.html http://bims.iranjournals.ir/article_902_2e9751112c0f6a8a0ad4c17431e11af8.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 1735-8515 42 6 2016 12 18 Differential subordination and superordination results associated with the Wright function 1459 1477 EN Á. Barciz Department of Economics‎, ‎Babes-Bolyai University‎, ‎400591 Cluj-Napoca‎, ‎Romania and ‎Institute of Applied Mathematics‎, ‎'Obuda University‎, ‎1034 Budapest‎, ‎Hungary. bariczocsi@yahoo.com S. Kant Department of Mathematics‎, ‎Government Dungar College‎, ‎334001 Bikaner‎, ‎India. drskant.2007@yahoo.com J‎. ‎K‎. ‎ Prajapat Department of Mathematics‎, ‎Central University of Rajasthan‎, ‎305817 Kishangarh‎, ‎Rajasthan‎, ‎India. jkprajapat@curaj.ac.in An operator associated with the Wright function is introduced in the open unit disk. Differential subordination and superordination results associated with this operator are obtained by investigating appropriate classes of admissible functions. In particular, some inequalities for modified Bessel functions are also obtained. Wright function‎,‎differential subordination and superordination‎,‎Hadamard product‎,‎Bessel and modified Bessel function of the first kind‎ http://bims.iranjournals.ir/article_903.html http://bims.iranjournals.ir/article_903_a50f6bbefef6ab07f840f8681a9504de.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 1735-8515 42 6 2016 12 18 On time-dependent neutral stochastic evolution equations with a fractional Brownian motion and infinite delays 1479 1496 EN Z. Li School of Information and Mathematics‎, ‎Yangtze University‎, ‎Jingzhou 434023‎, ‎China. lizhi_csu@126.com L. Xu School of Information and Mathematics‎, ‎Yangtze University‎, ‎Jingzhou 434023‎, ‎China. xlp211_csu@126.com X. Li School of Information and Mathematics‎, ‎Yangtze University‎, ‎Jingzhou 434023‎, ‎China and‎ ‎School of Mathematical Sciences‎, ‎Beijing Normal University‎, ‎Beijing 100875‎, ‎China. xli@bnu.edu.cn In this paper, we consider a class of time-dependent neutral stochastic evolution equations with the infinite delay and a fractional Brownian motion in a Hilbert space. We establish the existence and uniqueness of mild solutions for these equations under non-Lipschitz conditions with Lipschitz conditions being considered as a special case. An example is provided to illustrate the theory Stochastic neutral evolution equations‎,‎fractional Brownian motion‎,‎infinite delay‎,‎non-Lipschitz condition‎ http://bims.iranjournals.ir/article_904.html http://bims.iranjournals.ir/article_904_070920b9fa736281ee5571ed2c3f208f.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 1735-8515 42 6 2016 12 18 Growth of meromorphic solutions for complex difference‎ ‎equations of Malmquist type 1497 1505 EN Y‎. ‎Y‎. Zhang LMIB & School of Mathematics and Systems Science‎, ‎Beihang University‎, ‎Beijing‎, ‎100191‎, ‎China. zhangyy8911@gmail.com Z. S. Gao LMIB & School of Mathematics and Systems Science‎, ‎Beihang University‎, ‎Beijing‎, ‎100191‎, ‎China. zshgao@buaa.edu.cn J. L. Zhang LMIB & School of Mathematics and Systems Science‎, ‎Beihang University‎, ‎Beijing‎, ‎100191‎, ‎China. 09017@buaa.edu.cn ‎In this paper‎, ‎we give some necessary conditions for a complex‎ ‎difference equation of Malmquist type‎ <br />\$\$‎sum^n_{j=1}f(z+c_j)=frac{P(f(z))}{Q(f(z))}‎,\$\$ <br />‎where \$n(in{mathbb{N}})geq{2}\$‎, ‎and \$P(f(z))\$ and \$Q(f(z))\$ are‎ ‎relatively prime polynomials in \$f(z)\$ with small functions as‎ ‎coefficients‎, ‎admitting a meromorphic function of finite order‎. ‎Moreover‎, ‎the properties of finite order transcendental meromorphic‎ ‎solutions for complex difference equation‎ ‎\$prod^n_{j=1}f(z+c_j)=P(f(z))/Q(f(z))\$ are also investigated. Complex difference‎,‎meromorphic‎,‎Malmquist type‎ http://bims.iranjournals.ir/article_905.html http://bims.iranjournals.ir/article_905_ea7deb684570bd139e25b0b9450c544c.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 1735-8515 42 6 2016 12 18 Nonexistence and existence results for a 2\$n\$th-order \$p\$-Laplacian discrete Neumann boundary value problem 1507 1521 EN H. Shi Modern Business and Management‎ ‎Department‎, ‎Guangdong Construction Polytechnic‎, ‎Guangzhou 510440‎, ‎China. shp7971@163.com X. Liu Oriental Science and‎ ‎Technology College‎, ‎Hunan Agricultural University‎, ‎Changsha 410128‎, ‎China‎, ‎and Science College‎, ‎Hunan‎ ‎Agricultural University‎, ‎Changsha 410128‎, ‎China. xia991002@163.com Y. Zhang Packaging Engineering Institute‎, ‎Jinan University‎, ‎Zhuhai 519070‎, ‎China. abiaoa@163.com This paper is concerned with a 2nth-order p-Laplacian difference equation. By using the <br />critical point method, we establish various sets of sufficient conditions for the nonexistence and existence of solutions for Neumann boundary value problem and give some new results. Results obtained successfully generalize and complement the existing ones. Nonexistence and existence‎,‎Neumann boundary value‎ ‎problem‎,‎2\$n\$th-order \$p\$-Laplacian‎,‎Mountain Pass lemma‎,‎discrete variational theory‎ http://bims.iranjournals.ir/article_906.html http://bims.iranjournals.ir/article_906_60912a337544b6e988cdbda95ec1ce44.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 1735-8515 42 6 2016 12 18 A remark on Remainders of homogeneous spaces in some compactifications 1523 1534 EN H. ‎Wang Department of Mathematics‎, ‎Shandong Agricultural University‎, ‎Taian 271018‎, ‎China. whfeng@sdau.edu.cn W. He School of Mathematics‎, ‎Nanjing Normal University‎, ‎Nanjing 210046‎, ‎China. weihe@njnu.edu.cn ‎We prove that a remainder \$Y\$ of a non-locally compact‎ ‎rectifiable space \$X\$ is locally a \$p\$-space if and only if‎ ‎either \$X\$ is a Lindel"{o}f \$p\$-space or \$X\$ is \$sigma\$-compact‎, ‎which improves two results by Arhangel'skii‎. ‎We also show that if a non-locally compact‎ ‎rectifiable space \$X\$ that is locally paracompact has a remainder \$Y\$ which has locally a \$G_{delta}\$-diagonal‎, ‎then both \$X\$ and \$Y\$ are separable and metrizable‎, ‎which improves another‎ ‎Arhangel'skii's result‎. ‎It is proved that if a non-locally compact paratopological group \$G\$ has a locally developable remainder \$Y\$‎, ‎then either \$G\$ and \$Y\$ are separable and metrizable‎, ‎or \$G\$ is a \$sigma\$-compact space with a countable network‎, ‎which improves a result by Wang-He. Remainder‎,‎rectifiable space‎,‎\$p\$-space‎,‎paratopological group‎ http://bims.iranjournals.ir/article_907.html http://bims.iranjournals.ir/article_907_6be825dad83aff4dcbc3678dc36a3833.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 1735-8515 42 6 2016 12 18 Spacetimes admitting quasi-conformal curvature tensor 1535 1546 EN S. ‎Mallick‎ Department of Mathematics‎, ‎Chakdaha College‎, ‎P‎. ‎O‎. ‎Chakdaha‎, ‎Dist-Nadia‎, ‎West Bengal‎, ‎India. sahanousmallick@gmail.com P. Zhao Department of Applied Mathematics‎, ‎Nanjing University of Science and Technology‎, ‎Nanjing 210094‎, ‎P‎. ‎R‎. ‎China. pbzhao@njust.edu.cn U. C. De Department of Pure Mathematics‎, ‎University of Calcutta‎, ‎35‎, ‎B‎. ‎C‎. ‎Road‎, ‎Kolkata 700019‎, ‎West Bengal‎, ‎India. uc_de@yahoo.com ‎The object of the present paper is to study spacetimes admitting‎ ‎quasi-conformal curvature tensor‎. ‎At first we prove that a quasi-conformally flat spacetime is Einstein‎ ‎and hence it is of constant curvature and the energy momentum tensor of such a spacetime satisfying‎ ‎Einstein's field equation with cosmological constant is covariant constant‎. ‎Next‎, ‎we prove that if the perfect fluid pacetime with‎ ‎vanishing quasi-conformal curvature tensor obeys Einstein's field equation without cosmological constant‎, ‎then the spacetime has constant energy density and isotropic pressure and the perfect fluid always behave‎ ‎as a cosmological constant and also such a spacetime is infinitesimally spatially isotropic relative to the unit timelike vector field \$U\$‎. ‎Moreover‎, ‎it is shown that in a purely electromagnetic distribution the spacetime with vanishing quasi-conformal curvature tensor is filled with‎ ‎radiation and extremely hot gases‎. ‎We also study dust-like fluid spacetime with vanishing quasi-conformal curvature tensor.  Quasi-conformal curvature tensor‎,‎Einstein space‎,‎perfect fluid spacetime‎,‎Einstein's field equation‎,‎energy momentum tensor http://bims.iranjournals.ir/article_908.html http://bims.iranjournals.ir/article_908_ca47683e2d4c028ece8b6d5e9a07b102.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 1735-8515 42 6 2016 12 18 Parabolic Marcinkiewicz integrals on product spaces 1547 1557 EN M. Ali Department of Mathematics and Statistics‎, ‎Jordan University of Science and Technology‎, ‎Irbid‎, ‎Jordan. myali@just.edu.jo ‎In this paper‎, ‎we study the \$L^p\$ (\$1<p<infty\$) boundedness for the parabolic Marcinkiewicz integral when the kernel function \$Omega\$ belongs to the class \$L(log L)( mathbf{S}^{n-1}timesmathbf{S}^{m-1})\$‎. ‎Our result essentially extend and improve‎ ‎some known results. \$L^p\$ boundedness‎,‎parabolic Marcinkiewicz integrals‎,‎rough kernels‎,‎product spaces‎ http://bims.iranjournals.ir/article_909.html http://bims.iranjournals.ir/article_909_0013491d00e3de0fc7b031ab08ae90ab.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 1735-8515 42 6 2016 12 18 Multiplicity result to some Kirchhoff-type biharmonic equation involving exponential growth conditions 1559 1569 EN S. Aouaoui Institut Superieur des Mathematiques Appliquees et de l'Informa-tique de Kairouan‎, ‎3100 Kairouan‎, ‎Tunisia. aouaouisami@yahoo.fr In this paper‎, ‎we prove a multiplicity result for some biharmonic elliptic equation of Kirchhoff type and involving nonlinearities with critical exponential growth at infinity‎. ‎Using some variational arguments and exploiting the symmetries of the problem‎, ‎we establish a multiplicity result giving two nontrivial solutions‎. Biharmonic equation‎,‎Kirchhoff-type‎,‎radial solution‎,‎nonradial solution‎,‎Adams inequality http://bims.iranjournals.ir/article_910.html http://bims.iranjournals.ir/article_910_d023f48f0b6624872fac7e75929595b5.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 1735-8515 42 6 2016 12 18 Multi-valued operators with respect \$wt\$-distance on metric type spaces 1571 1582 EN M. ‎Demma‎ Universita degli Studi di Palermo‎, ‎Dipartimento di Matematica e Informatica‎, ‎Via Archirafi‎, ‎34‎, ‎90123 Palermo‎, ‎Italy. martanoir91@hotmail.it R. Saadati Department of Mathematics‎, ‎Iran University of Science and Technology‎, ‎Tehran‎, ‎Iran. rsaadati@iust.ac.ir P. Vetro Universita degli Studi di Palermo‎, ‎Dipartimento di Matematica e nformatica‎, ‎Via Archirafi‎, ‎34‎, ‎90123 Palermo‎, ‎Italy. pasquale.vetro@unipa.it ‎Recently‎, ‎Hussain et al.‎, ‎discussed the concept of \$wt\$-distance on a‎ ‎metric type space‎. ‎In this paper‎, ‎we prove some fixed‎ ‎point theorems for classes of contractive type multi-valued operators‎, ‎by using \$wt\$-distances in the setting of a complete metric type space‎. ‎These results generalize a result of Feng and Liu on multi-valued operators. Multivaled operator‎,‎Pompeiu-Hausdorff generalized metric type‎,‎fixed point theorem‎ http://bims.iranjournals.ir/article_911.html http://bims.iranjournals.ir/article_911_d68811f58633ed8b4568d0d352c68671.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 1735-8515 42 6 2016 12 18 PPF dependent fixed point theorems for multi-valued mappings in Banach spaces 1583 1595 EN A. Farajzadeh Department of Mathematics‎, ‎Razi‎ ‎University‎, ‎Kermanshah‎, ‎67149‎, ‎Iran. farajzadehali@gmail.com A. Kaewcharoen Department of Mathematics‎, ‎Faculty of Science‎, ‎Naresuan University‎, ‎Phitsanulok 65000‎, ‎Thailand. anchaleeka@nu.ac.th S. Plubtieng Department of Mathematics‎, ‎Faculty of Science‎, ‎Naresuan University‎, ‎Phitsanulok 65000‎, ‎Thailand. somyotp@nu.ac.th ‎We prove the existence of PPF dependent coincidence points for a pair of single-valued and multi-valued mappings satisfying generalized contractive conditions in Banach spaces‎. ‎Furthermore, the PPF dependent fixed point and PPF dependent common fixed point theorems for multi-valued mappings are proved. PPF dependent common fixed points‎,‎PPF dependent coincidence points‎,‎Razumikhin classes‎,‎generalized \$psi\$-contractions‎ http://bims.iranjournals.ir/article_912.html http://bims.iranjournals.ir/article_912_db2a0d67fb7b266903d9fb7c13a66041.pdf