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IMI/Publicaţii/BASM/Ediţii/BASM n.3(88), 2018/

Regularized gradient-projection algorithm for solving one-parameter nonexpansive semigroup, constrained convex minimization and generalized equilibrium problems

Authors: C. C. Okeke, O. T. Mewomo

Abstract

Our purpose in this paper is to propose an iterative algorithm for finding a common element of the fixed points set of common solutions of a one-parameter nonexpansive semigroup, the set of solutions of constrained convex minimization problem and the set of solutions of generalized equilibrium problem in a real Hilbert space using the idea of regularized gradient-projection algorithm under suitable conditions. Finally, we give an application.

School of Mathematics, Statistics and Computer Science
University of KwaZulu-Natal, Durban,South Africa
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