We prove the existence of common fixed points of a sequence of multivalued mappings satisfying Edelstein type contractive condition. As an application, common fixed points of a sequence of single valued expansive type mappings have been obtained. © 2008 Elsevier Ltd. All rights reserved.

In this paper, we introduce the concept of generalized ordered contractive mappings on cone b-metric spaces over Banach algebras and establish a new common some fixed point theorems of such mappings under some natural conditions. The results extend and improve recent related results. c ©2016 All rights reserved.

The notion of compatibility for point-to-point mappings recently defined by Jungck is generalized to include multi-valued mappings. This idea is used to establish a fixed point theorem for a generalized contractive multi-valued mapping and a single-valued napping.

Based on the technique of enriching contractive type mappings, a that has been used successfully in some recent papers, we introduce concept saturated class mappings. We show that, from this perspective, mappings metric fixed point theory can be separated into two distinct classes, unsaturated and saturated, for any provides genuine new fixed-point results. illustrate by surveying significant r...

In this paper, we discuss and extend some recent common fixed point results established by using $varphi-$weakly contractive mappings. A very important step in the development of the fixed point theory was given by A.H. Ansari by the introduction of a $C-$class function. Using $C-$class functions, we generalize some known fixed point results. This type of functions is a very important class of ...

In fractal image compression, the code is given by a contractive aane mapping whose xed point is an approximation to the original image. Usually, the mapping is found by the collage coding method. We propose an algorithm that starts from an initial mapping obtained by collage coding and iteratively provides a sequence of contractive mappings whose xed points are monotonically approaching the or...

The purpose of this paper is to prove that orbital continuity for a pair self-mappings necessary and sufficient condition the existence uniqueness common fixed point these mappings defined on Menger PM-spaces with nonlinear contractive condition. main results are obtained using notion R-weakly commutativity type Af (or Ag). These generalize some known results.

Very recently, Agarwal et al. (Fixed Point Theory Appl. 2012:40, 2012) initiated the study of fixed point theorems for mappings satisfying cyclical generalized contractive conditions in complete partial metric spaces. In the present paper, we study some fixed point theorems for a mapping satisfying a cyclical generalized contractive condition based on a pair of altering distance functions in co...

in this paper direct proofs of some common fixed point results for two and three mappings under weak contractive conditions are given. some of these results are improved by using different arguments of control functions. examples are presented showing that some generalizations cannot be obtained and also that our results are distinct from the existing ones.