In this note, we define Meir-Keeler contraction in S b -metric spaces. Further, by adding the concept of id="M4"> α -admissible mappings, generalized id="M5"> s -Meir-Keeler and used it for examining existence uniqueness fixed points. Various results are also given...

Recommended by Sehie Park We prove that the recent fixed point theorem for contractions of integral type due to Branciari is a corollary of the famous Meir-Keeler fixed point theorem. We also prove that Meir-Keeler contractions of integral type are still Meir-Keeler contractions.

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...

In 1929, Knaster et al. 1 had proved the well-known KKM theorem on n-simplex. Besides, in 1961, Fan 2 had generalized the KKM theorem to an infinite dimensional topological vector space. Later, Amini et al. 3 had introduced the class of KKM-typemappings onmetric spaces and established some fixed point theorems for this class. In this paper, we define a weaker Meir-Keeler type function and estab...

In the existing literature, Banach contraction theorem as well Meir-Keeler fixed point were extended to fuzzy metric spaces. However, extensions require strong additional assumptions. The purpose of this paper is determine a class spaces in which both theorems remain true without need any condition. We demonstrate wide validity new class.

Copyright q 2012 Jiancai Huang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We introduce an implicit and explicit iterative schemes for a finite family of nonexpansive semi-groups with the Meir-Keeler-type contraction in...