Regularized gradient-projection algorithm for solving one-parameter nonexpansive semigroup, constrained convex minimization and generalized equilibrium problems
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OKEKE, Chibueze Christian, MEWOMO, Oluwatosin Temitope. Regularized gradient-projection algorithm for solving one-parameter nonexpansive semigroup, constrained convex minimization and generalized equilibrium problems. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2018, nr. 3(88), pp. 32-56. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 3(88) / 2018 / ISSN 1024-7696 /ISSNe 2587-4322

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

CZU: 512.53
MSC 2010: 47H09, 47H10, 49J20, 49J40.

Pag. 32-56

Okeke Chibueze Christian, Mewomo Oluwatosin Temitope
 
University of KwaZulu-Natal
 
Disponibil în IBN: 16 aprilie 2019


Rezumat

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.

Cuvinte-cheie
Nonexpansive semigroup, generalized equilibrium problem, constrained convex minimization problem, regularization method, fixed point problem, , Hilbert space.