, Volume 57, Issue 1, pp 181-190
Date: 11 Apr 2011

Weak reciprocal continuity and fixed point theorems

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Abstract

The aim of the present paper is to introduce the notion of weak reciprocal continuity and obtain fixed point theorems by employing the new notion. The new notion is a proper generalization of reciprocal continuity and is applicable to compatible mappings as well as noncompatible mappings. Our results generalize several fixed point theorems.