Article ID Journal Published Year Pages File Type
472303 Computers & Mathematics with Applications 2012 11 Pages PDF
Abstract

We investigate strong convergence for Bregman strongly nonexpansive mappings by Halpern’s iteration in the framework of reflexive Banach spaces. Using the obtained result, convergence for a family of Bregman strongly nonexpansive mappings is also discussed. As applications, we apply our main result to problems of finding zeros of maximal monotone operators and equilibrium problems in reflexive Banach spaces.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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