Some common fixed point theorems in vector metric spaces

Journal of Applied Mathematics, 2013

We prove a common fixed point theorem for two pairs of compatible and subsequentially continuous (alternately subcompatible and reciprocally continuous) mappings satisfying a general contractive condition in a metric space. Some illustrative examples are furnished to highlight the realized improvements. Our result improves the main result of Sedghi and Shobe (2007).

Journal of Mathematical Analysis and Applications, 1998

In this paper we give necessary and sufficient conditions for the existence of fixed and common fixed points of self-mappings of metric spaces. Our results generalize, improve, and unify some results of Chang, Jungck, Fisher, and Dien.

Journal of Linear and Topological Algebra, 2016

In this paper we consider the so called a vector metric space, which is a gener- alization of metric space, where the metric is Riesz space valued. We prove some common xed point theorems for three mappings in this space. Obtained results extend and generalize well-known comparable results in the literature. c

Fixed Point Theory and Applications, 2012

In this article we obtain, in the setting of metric spaces or ordered metric spaces, coincidence point, and common fixed point theorems for self-mappings in a general class of contractions defined by an implicit relation. Our results unify, extend, generalize many related common fixed point theorems from the literature.

Advances in Fixed Point Theory, 2016

In this paper, we introduce a new class Ψ1 of functions which are different from Ψ introduced by Hussain, Parvaneh, Samet and Vetro [9]. We define JS - Ψ1 - contraction for a single selfmap and prove the existence of fixed points. Also, we extend JS - Ψ1 - contraction to a pair of selfmaps and prove the existence of coincidence points and prove the existence of common fixed points by assuming the weakly compatible property. Further, we study the existence of common fixed points for a pair of weakly compatible selfmaps satisfying property (E. A). Examples are provided to illustrate our results.

Abstract and Applied Analysis, 2012

Recently, Abbas et al. 2012 obtained some unique common fixed-point results for a pair of mappings satisfying E.A property under certain generalized strict contractive conditions in the framework of a generalized metric space. In this paper, we present common coincidence and common fixed points of two pairs of mappings when only one pair satisfies E.A property in the setup of generalized metric spaces. We present some examples to support our results. We also study well-posedness of common fixed-point problem.

International Journal of Analysis, 2013

We obtain sufficient conditions for the existence of unique common fixed point of ( − )-weakly contractive mappings on complete rectangular metric spaces. In the process, we generalize several fixed point results from the literature. We also give an example to illustrate our work.

Applied Mathematics and Computation, 2011

In this paper, study of necessary conditions for the existence of unique coupled common fixed point of contractive type mappings in the context of two generalized metric spaces is initiated. These results generalize several comparable results from the current literature. We also provide illustrative examples in support of our new results.

We obtain sufficient conditions for the existence of a unique fixed point of Reich and Rhoades type contractive conditions on generalized, complete, metric spaces dependent on another function. Our results generalize and extend some well-known previous results.

Advances in Pure Mathematics

In the present paper, we prove two theorems. In first theorem, we prove fixed point result for self-maps in the metric space under contractive condition of integral type by altering distance. In second result, we prove a unique common fixed point theorem by considering four sub compatible maps under a contractive condition of integral type.