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

M. De la Sen

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: This paper relies on the study of fixed points and best proximity points of a class of so‐called generalized point‐dependent (K, λ)‐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 λ 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.

Date: 2013
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https://doi.org/10.1155/2013/183174

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:183174

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