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On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces

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We propose a new modified proximal point algorithm combined with Halpern's iteration process for nonexpansive mappings in the framework of CAT(0) spaces. We establish a strong convergence theorem under some… Click to show full abstract

We propose a new modified proximal point algorithm combined with Halpern's iteration process for nonexpansive mappings in the framework of CAT(0) spaces. We establish a strong convergence theorem under some mild conditions. Our results extend some known results which appeared in the literature.

Keywords: nonexpansive mappings; solving minimization; point; cat spaces; problem

Journal Title: Optimization Methods and Software
Year Published: 2017

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