Common Fixed Points of Generalized Meir-Keeler Type Condition and Nonexpansive Mappings

Common Fixed Points of Generalized Meir-Keeler Type Condition and Nonexpansive Mappings

The aim of the present paper is to obtain common fixed point theorems by employing the recently introduced notion of weak reciprocal continuity. The new notion is a proper generalization of reciprocal continuity and is applicable to compatible mappings as well as noncompatible mappings. We demonstrate that weak reciprocal continuity ensures the existence of common fixed points under contractive...

Approximating fixed points of generalized nonexpansive mappings

Common Fixed Points for Nonexpansive and Nonexpansive Type Fuzzy Mappings

In this paper we define g-nonexpansive and g-nonexpansive type fuzzy mappings and prove common fixed point theorems for sequences of fuzzy mappings satisfying certain conditions on a Banach space. Thus we obtain fixed point theorems for nonexpansive type multi-valued mappings.

A Meir-keeler Type Common Fixed Point Theorem for Four Mappings

In this paper, we prove a general common fixed point theorem for two pairs of weakly compatible self-mappings of a metric space satisfying a weak Meir-Keeler type contractive condition by using a class of implicit relations. In particular, our result generalizes and improves a result of K. Jha, R.P. Pant, S.L. Singh, by removing the assumption of continuity, relaxing compatibility to weakly com...

On common fixed point theorems of Meir and Keeler type

Two common fixed point results of Meir and Keeler type for four weakly compatible mappings are obtained which complement, improve and extend various previous ones existing in the literature especially the result of [2].