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arxiv: 1512.00243 · v1 · pith:3IQHRJVEnew · submitted 2015-12-01 · 🧮 math.FA

A new algorithm for mixed equilibrium problem and Bregman strongly nonexpansive mappings in Banach spaces

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keywords banachbregmancommonequilibriumfixedmappingsmixednonexpansive
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In this paper, we study a new iterative method for a common fixed point of a finite family of Bregman strongly nonexpansive mappings in the frame work of reflexive real Banach spaces. Moreover, we prove the strong convergence theorem for finding common fixed points with the solutions of a mixed equilibrium problem.

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