GENERALIZED CONTRACTIVE MAPPINGS ON QUASIMETRIC SPACES

GENERALIZED CONTRACTIVE MAPPINGS ON QUASIMETRIC SPACES

S. Mohamadi, M. Iranmanesh, A. R. K. Mirmostafaee

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Abstract

In this paper, we introduce a new class of generalized contractive mappings to establish a  xed point theorem for this class of mappings in complete quasimetric spaces. In fact, at  rst we present the notion of ordered cyclic weakly ( ; '; A;B)- contraction and then we establish a  xed point theorem for such mappings in complete ordered s-quasimetric spaces. This can be considered as an improvement of some old  xed point theorems in the literature. Finally, we provide an example to show that our result is genuine generalizations of some  xed point theorems.

Keywords

Complete s-quasimetric spaces, cyclic contraction,  xed point.