A new iterative algorithm for a generalized mixed equilibrium problem and a countable family of nonexpansive-type maps with applications

C.E. Chidume, Monday Ogudu Nnakwe, Emmanuel Ezzaka Otubo · Fixed Point Theory · 2020

Let C be a nonempty closed and convex subset of a uniformly smooth and uniformly convex real Banach space with dual space E * . In this paper, a new iterative algorithm of Krasnoselskiitype is constructed and used to approximate a common element of a generalized mixed equilibrium problem and a common fixed point of a countable family of generalized-J-nonexpansive maps.

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