The aim of this paper to obtain completeness and uniqueness of fixed point theorem on b-metric space. In this paper we show that different contractive type mapping exist in b-metric space.

This paper deals with tripled fixed point theorem, and the approach is based on Perov-type fixed point theorem for contractions in metric spaces endowed with vector-valued metrics. We are also study Ulam-Hyers stability results for the tripled fixed points of a triple of contractive type single-valued and respectively multi-valued operators on complete metric spaces.

In this paper, we prove fixed point theorem for φ − H contraction in fuzzy metric space in sense of George and Veeramani.

The present paper is divided into two parts. In the first part, we derive a Fan-KKM type theorem and establish some Fan type geometric properties of convex spaces. By applying our results, we also obtain some coincidence theorems and fixed-point theorems in the setting of convex spaces. The second part deals with the applications of our coincidence theorem to establish some existence results fo...

We define the concept of generalized ϕ-pair mappings and prove some common fixed point theorems for this type of mappings. Our results generalize some recent results.

Locally contractive and locally expansive mappings are studied in this paper. A remetrization theorem and some fixed point theorems are proved.

The standard P. A. Smith theory of p-group actions on spheres, disks, and euclidean spaces is extended to the case of p-group actions on tori (i.e., products of circles) and coupled with topological surgery theory to give a complete topological classification, valid in all dimensions, of the locally linear, orientation-reversing, involutions on tori with fixed point set of codimension one.

In this paper, we establish some new coupled fixed point theorems in ordered partial b-metric spaces. Also, an example is provided to support our new results. The results presented in this paper extend and improve several well-known comparable results. c ©2016 All rights reserved.

This paper shows that the core outcomes of the assignment game coincides with the set of fixed points of a certain function. The lattice property of the core, as well as its non-emptiness, are proved using Tarski’s fixed point

We establish two general principles for fixed point theorems inD-metric spaces, and then show that several theorems in D-metric spaces follow as corollaries of these general principles.