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2013 On Best Proximity Point Theorems and Fixed Point Theorems for p -Cyclic Hybrid Self-Mappings in Banach Spaces
M. De la Sen
Abstr. Appl. Anal. 2013(SI01): 1-14 (2013). DOI: 10.1155/2013/183174

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 D f , 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.

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M. De la Sen. "On Best Proximity Point Theorems and Fixed Point Theorems for p -Cyclic Hybrid Self-Mappings in Banach Spaces." Abstr. Appl. Anal. 2013 (SI01) 1 - 14, 2013. https://doi.org/10.1155/2013/183174

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1273.47089
MathSciNet: MR3045070
Digital Object Identifier: 10.1155/2013/183174

Rights: Copyright © 2013 Hindawi

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