On Best Proximity Point Theorems and Fixed Point Theorems for p-Cyclic Hybrid Self-Mappings in Banach Spaces


Autoria(s): De la Sen Parte, Manuel
Data(s)

21/05/2013

21/05/2013

2013

Resumo

This paper relies on the study of fixed points and best proximity points of a class of so-called generalized point-dependent (K-Lambda)hybrid p-cyclic self-mappings relative to a Bregman distance Df, associated with a Gâteaux differentiable proper strictly convex function f in a smooth Banach space, where the real functions Lambda and K quantify the point-to-point hybrid and nonexpansive (or contractive) characteristics of the Bregman distance for points associated with the iterations through the cyclic self-mapping.Weak convergence results to weak cluster points are obtained for certain average sequences constructed with the iterates of the cyclic hybrid self-mappings.

Identificador

Abstract and Applied Analysis 2013 : (2013) // Article ID 183174

1085-3375

http://hdl.handle.net/10810/10141

10.1155/2013/183174

Idioma(s)

eng

Publicador

Hindawi Publishing Corporation

Relação

http://www.hindawi.com/journals/aaa/2013/183174/

Direitos

© 2013 M. De la Sen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

info:eu-repo/semantics/openAccess

Tipo

info:eu-repo/semantics/article