A modified Halpern extragradient method for equilibrium and fixed point problems in CAT(0) space


Ali, Bashir, Harbau, M. H. and Alasan, Auwalu Ali


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In this paper, we introduce a modified Halpern extragradient-type algorithm for approximating an element in the intersection of the set of common solutions of equilibrium problems and common fixed points of family of nonexpansive mappings in a complete CAT(0) space. We establish strong convergence theorem that improve and generalize recently announced results in the literature.

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 Harbau, M. H., Alasan, Auwalu Ali, Ali, Bashir