Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2018, Number 3, Pages 32–56 (Mi basm485)  
Research articles

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

C. C. Okeke, O. T. Mewomo

School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
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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.
Keywords and phrases: nonexpansive semigroup, generalized equilibrium problem, constrained convex minimization problem, regularization method, fixed point problem, Hilbert space.
Funding agency
The first author acknowledges with thanks the bursary and financial support from Department of Science and Technology and National Research Foundation, Republic of South Africa Center of Excellence in Mathematical and Statistical Sciences (DST-NRF COE-MaSS) Doctoral Bursary.
Received: 16.06.2017
Document Type: Article
MSC: 47H09, 47H10, 49J20, 49J40
Language: English
Citation: C. C. Okeke, O. T. Mewomo, “Regularized gradient-projection algorithm for solving one-parameter nonexpansive semigroup, constrained convex minimization and generalized equilibrium problems”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2018, no. 3, 32–56
Citation in format AMSBIB
\Bibitem{OkeMew18}
\by C.~C.~Okeke, O.~T.~Mewomo
\paper Regularized gradient-projection algorithm for solving one-parameter nonexpansive semigroup, constrained convex minimization and generalized equilibrium problems
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2018
\issue 3
\pages 32--56
\mathnet{http://mi.mathnet.ru/basm485}
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