1
Department of Mathematics, Bonab Higher Education Complex
2
Faculty of Mathematical Sciences University of Tabriz, Tabriz, Iran
Abstract
begin{abstract} In this paper, we introduce an iterative method for amenable semigroup of non expansive mappings and infinite family of non expansive mappings in the frame work of Hilbert spaces. We prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. The results presented in this paper mainly extend the corresponding results announced by Qin et al. [X. Qin, Y. J. Cho, and S. M. Kang, An iterative method for an infinite family of non-expansive mappings in Hilbert spaces, Bull. Malays. Math. Sci. Soc. 32 (2009) 161-171] and many others.
Piri, H. & Vaezi, H. (2012). An iterative method for amenable semigroup and infinite family of non expansive mappings
in Hilbert spaces. Bulletin of the Iranian Mathematical Society, 38(2), 369-389.
MLA
Piri, H., & Vaezi, H. "An iterative method for amenable semigroup and infinite family of non expansive mappings
in Hilbert spaces", Bulletin of the Iranian Mathematical Society, 38, 2, 2012, 369-389.
HARVARD
Piri H., Vaezi H. (2012). 'An iterative method for amenable semigroup and infinite family of non expansive mappings
in Hilbert spaces', Bulletin of the Iranian Mathematical Society, 38(2), pp. 369-389.
CHICAGO
H. Piri & H. Vaezi, "An iterative method for amenable semigroup and infinite family of non expansive mappings
in Hilbert spaces," Bulletin of the Iranian Mathematical Society, 38 2 (2012): 369-389,
VANCOUVER
Piri H., Vaezi H. An iterative method for amenable semigroup and infinite family of non expansive mappings
in Hilbert spaces. BIMS. 2012;38(2):369-389.
