Common fixed points of f-weak contractions in cone metric spaces

Abstract

Recently, Choudhury and Metiya [Fixed points of weak contractions in <br />cone metric spaces, Nonlinear Analysis 72 (2010) 1589-1593] proved <br />some fixed point theorems for weak contractions in cone metric <br />spaces. Weak contractions are generalizations of the Banach's <br />contraction mapping, which have been studied by several authors. In <br />this paper, we introduce the notion of $f$-weak contractions and <br />also establish a coincidence and common fixed point result for <br />$f$-weak contractions in cone metric spaces. Our result is supported <br />by an example which include and generalize the results of Choudhury <br />and Metiya's work.