TY - JOUR ID - 218 TI - Common fixed points of f-weak contractions in cone metric spaces JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Sintunavarat, Wultipol AU - Kumam, Poom AD - King Mongkut's University of Technology Thonburi (KMUTT) Y1 - 2012 PY - 2012 VL - 38 IS - 2 SP - 293 EP - 303 KW - Cone metric spaces KW - Weak contraction KW - f-weak contraction KW - coincidence point KW - common fixed point DO - N2 - Recently, Choudhury and Metiya [Fixed points of weak contractions in cone metric spaces, Nonlinear Analysis 72 (2010) 1589-1593] proved some fixed point theorems for weak contractions in cone metric spaces. Weak contractions are generalizations of the Banach's contraction mapping, which have been studied by several authors. In this paper, we introduce the notion of $f$-weak contractions and also establish a coincidence and common fixed point result for $f$-weak contractions in cone metric spaces. Our result is supported by an example which include and generalize the results of Choudhury and Metiya's work. UR - http://bims.iranjournals.ir/article_218.html L1 - http://bims.iranjournals.ir/article_218_d595625aa45af7f415864e2b1458807a.pdf ER -