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

C. C. Okeke ; O. T. Mewomo

Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2018), pp. 32-56.

Résumé

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.

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