in this paper is introduced a new type of generalization of metric spaces called sb metric space. for this new kind of spaces it has been proved a common xed point theorem for four mappings which satisfy generalized contractive condition. we also present example to con rm our theorem.

In this paper, we prove common fixed point theorems in fuzzy metric spaces for weakly compatible mappings along with property (E.A.) satisfying implicit relation. Property (E.A.) buys containment of ranges without any continuity requirement besides minimizing the commutativity conditions of the maps to commutativity at their point of coincidence. Moreover, property (E.A.) allows replacing the c...

In this paper, we prove a general common fixed point theorem for two pairs of weakly compatible self-mappings of a (possibly non complete) metric space such that one of them satisfies the property (E.A) under a contractive condition of Lipschitz type. Our result provides a generalization and some improvements to a result obtained by K. Jha, R.P. Pant and S.L. Singh in 2003 and a recent result o...

* Correspondence: hassen. [email protected] Institut Supérieur d’Informatique et des Technologies de Communication de Hammam Sousse, Université de Sousse, Route GP1-4011, Hammam Sousse, Tunisie Full list of author information is available at the end of the article Abstract In this article, we prove a general common fixed point theorem for two pairs of weakly compatible self-mappings of a partia...

It is shown that every asymptotically regular or λ-firmly nonexpansive mapping T : C → C has a fixed point whenever C is a finite union of nonempty weakly compact convex subsets of a Banach spaceX which is uniformly convex in every direction. Furthermore, if {Ti}i∈I is any compatible family of strongly nonexpansive self-mappings on such a C and the graphs of Ti, i∈ I, have a nonempty intersecti...

Abstract. In this paper, we prove results on n-tupled coincidence as well as n-tupled fixed point in partially ordered complete metric spaces for a pair of weakly contractive compatible mappings whenever n is even, wherein control functions are also employed. Our main theorem improves the corresponding results of Choudhury et al. (Ann. Univ. Ferrara 57: 1-16, 2011). We illustrate our main resul...

Employing the common property E.A , we prove some common fixed point theorems for weakly compatible mappings via an implicit relation in Menger PM spaces. Some results on similar lines satisfying quasicontraction condition as well as ψ-type contraction condition are also proved in Menger PM spaces. Our results substantially improve the corresponding theorems contained in Branciari, 2002 ; Rhoad...

In 1989, Kent and Richardson [Ordered probabilistic metric spaces, J. Austral. Math. Soc. Ser. A 46(1) (1989), 88-99, MR0966286 (90b:54022)] introduced the class of probabilistic quasi-metric spaces which offers a wider framework than that of metric spaces. The aim of this paper is to prove common fixed point theorems for single-valued and set-valued weakly compatible mappings in Menger probabi...

We prove general common fixed point theorems for occasionally weakly compatible hybrid pairs of mappings in symmetric spaces satisfying implicit relations which generalize the theorems of [1]-[6], [8]-[14], [16]-[33], [36], [37], [39], [41], [44], [46]-[49], [51], [56], [58]-[63], [65]-[74], [76]-[85] and we correct the errors of [6], [21], [34], [47] and [84]. AMS Mathematics Subject Classific...

The purpose of this paper is to study and discuss the existence of common fixed points for weakly compatible mappings satisfying the generalized contractiveness and the (CLR)-property. Our results improve the corresponding results given in He et al. [X. He, M. Song, D. Chen, Fixed Point Theory Appl., 2014 (2014), 9 pages]. Moreover, we give some examples to illustrate for the main results. c ©2...