Convergence Theorems for α-Nonexpansive Mappings in CAT (0) Spaces

Abstract In this paper we derive convergence theorems for an α-nonexpansive mapping of a nonempty closed and convex subset of a complete CAT (0) space for SPiterative process and Thianwan's iterative process

On Existence and Attractivity of Ψ-Hilfer Hybrid Fractional-order Langevin Differential Equations

The work reported in this article studies the equivalence relationship between fractional integral equation and Ψ-Hilfer Hybrid Langevin Differential Equations of fractional order with nonlocal initial conditions, and then we use this relationship to establish the existence of the results by means of Banach algebra and Schauder’s fixed point theorem. We then demonstrate the uniform local attractiveness of all the solutions

A Result in Best Approximation Theory for Family of Maps

The aim of the present paper is to establish common fixed point and best approximation results for family of weakly compatible mappings which unify and generalize various known results

Common Fixed Points of Weak Compatible Mappings of Type (A) in PM-Spaces

Abstract: In this paper we prove common fixed point Theorem for six mappings in probabilistic metric space. Our result extends and generalizes some known results in metric space and probabilistic metric spaces. Mathematical Subject Classification: 47H10, 54H25

Some Common Fixed Point Results for Modified Subcompatible Maps and Related Invariant Approximation Results

We improve the class of subcompatible self-maps used by (Akbar and Khan, 2009) by introducing a new class of noncommuting self-maps called modified subcompatible self-maps. For this new class, we establish some common fixed point results and obtain several invariant approximation results as applications. In support of the proved results, we also furnish some illustrative examples

The Point of Coincidence and Common Fixed Point for Three Mappings in Cone Metric Spaces

The aim of this paper is to present the point of coincidence and common fixed point for three mappings in cone metric spaces over normal cone which satisfy a different contractive condition. Our result generalizes the recent related results proved by Stojan Radenović (2009) and Rangamma and Prudhvi (2012)