Convergence Theorems for Right Bregman Strongly Nonexpansive Mappings in Reflexive Banach Spaces

H. Zegeye and N. Shahzad

Abstract and Applied Analysis, 2014, vol. 2014, 1-8

Abstract:

We prove a strong convergence theorem for a common fixed point of a finite family of right Bregman strongly nonexpansive mappings in the framework of real reflexive Banach spaces. Furthermore, we apply our method to approximate a common zero of a finite family of maximal monotone mappings and a solution of a finite family of convex feasibility problems in reflexive real Banach spaces. Our theorems complement some recent results that have been proved for this important class of nonlinear mappings.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:584395

DOI: 10.1155/2014/584395

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