Strong convergence theorem for right Bregman strongly nonexpensive mappings in reflexive Banach spaces
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O177.91
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In this paper,we introduce Mann-Halpern algorithm for finding a common fixed point problem of finite family of right Bregman strongly nonexpansive mappings in reflexive mappings in reflexive real Banach spaces.Moreover,we prove a strong convergence theorem under suitable control conditions.Finally,the application to a common zero of a finite family of maximal monote mappings is given by the result.
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Cite this article as: WAN Bing-Sheng, HUANG Jian-Hua. Strong convergence theorem for right Bregman strongly nonexpensive mappings in reflexive Banach spaces [J]. J Sichuan Univ: Nat Sci Ed, 2018, 55: 0018.