In this paper, employing the common property ($E.A$), we prove a common fixed theorem for weakly compatible mappings via an implicit relation in Intuitionistic fuzzy metric space. Our results generalize the results of S. Kumar [S. Kumar, {it Common fixed point theorems in Intuitionistic fuzzy metric spaces using property (E.A)}, J. Indian Math. Soc., 76 (1-4) (2009), 94--103] and C. Alaca et al...

In this paper, a common fixed point theorem for pair of weakly compatible mappings in the setting digital metric space is proved with supportive example. Our result extends and improves Ozgur Ege et al. [2].

In this paper, we give definitions for common limit in the range property of mappings and obtain common fixed point theorem for a pair of weakly compatible functions in intuitionistic fuzzy metric space using the joint common limit in the range property of mappings(shortly, (JCLR) property). Our results improve and generalize results of Chauhan et al[1].

This paper is to prove a common fixed point theorem for four self maps which generalizes the result of Brian Fisher [1] by a weaker conditions such as weakly compatible mappings and associated sequence instead of commuting mappings and completeness of a metric space.

We prove the existence of the unique common fixed point theorems for self mappings which are weakly compatible satisfying some contractive conditions on partial metric spaces. Furthermore, we also prove the result on the continuity in the set of common fixed points for self mappings on partial metric spaces.

In this note a common fixed point theorem for weakly compatible mappings in a metric space is proved which, improves the results of Ciric [3], Fisher [4], Pant [8],[9] and Popa et al.[10]. Resumen. En esta nota se prueba un teorema de punto fijo común para las funciones débilmente compatibles en un espacio métrico que mejora los resultados de Ciric [3], Fisher [4], Pant [8],[9] y Popa et al.[10].

and Applied Analysis 3 that w fw gw, that is, w is a common fixed point for f, g . If z is any common fixed point for f, g (i.e., fz gz z , then, again by the uniqueness of POC, it must be z w. The following result is due to Ðorić et al. [21]. It shows that the results of Jungck and Rhoades are not generalizations of results obtained from Lemma 2.1. Proposition 2.3 (see [21]). Let a pair of map...

The aim of this paper is to establish some common fixed point theorems under occasionally weakly compatible maps using implicit functions.

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].

We establish common fixed point theorems involving two pairs of weakly compatible mappings satisfying nonlinear contractive conditions in K -metric spaces. The presented theorems generalize, extend and improve many existing results in the literature. © 2011 Elsevier Ltd. All rights reserved.