Approximating common fixed points for a pair of generalized nonlinear mappings in convex metric space

Approximating common fixed points for a pair of generalized nonlinear mappings in convex metric space

In this paper, a pair of generalized nonlinear mappings are introduced. Sufficient conditions for the existence of common fixed points for a pair of generalized nonlinear mappings in convex metric spaces are obtained and Krasnoselskii type iterations are used to approximate common fixed points. Our results generalize and extend various known results. c ©2016 All rights reserved.

Approximating fixed points of generalized nonexpansive mappings

Coincidence points and common fixed points for hybrid pair of mappings in b-metric spaces endowed with a graph

In this paper, we introduce the notion of strictly (α,ψ,ξ)-G-contractive mappings in b-metric spaces endowed with a graph G. We establish a sufficient condition for existence and uniqueness of points of coincidence and common fixed points for such mappings. Our results extend and unify many existing results in the literature. Finally, we construct some examples to analyze and support our results.

Common fixed points for a pair of mappings in $b$-Metric spaces via digraphs and altering distance functions

In this paper, we discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of self-mappings satisfying some generalized contractive type conditions in $b$-metric spaces endowed with graphs and altering distance functions. Finally, some examples are provided to justify the validity of our results.

approximating fixed points of generalized nonexpansive mappings