HYBRID SUBGRADIENT METHODS FOR PSEUDOMONOTONE EQUILIBRIUMS PROBLEM AND FIXED POINTS OF RELATIVELY NONEXPANSIVE MAPPINGS IN BANACH SPACES

Murtala Haruna Harbau, Bashir Ali

Abstract


In this paper, we propose a new hybrid subgradient algoritm for
finding a common point in the set of pseudomonotone equilibrium problem and the set of fixed points of relatively nonexpansive mapping in a real uniformly convex and uniformly smooth Banach spaces. Weak and strong convergence of the iterative scheme are established. Our results generalizes and improves several recent results in the literature.

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