New hybrid algorithms for global minimization of common best proximity points of some generalized nonexpansive mappings

Jenwit Puangpee, Suthep Suantai


In this paper, we introduce two hybrid algorithms for finding a common best proximity point of two best proximally nonexpansive mappings. We establish strong convergence theorems of the proposed algorithms under some control conditions in a real Hilbert space. Moreover, a numerical result is given for supporting our main theorems.


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