An Iterative Method for a Common Solution of Split Generalized Equilibrium Problems and Fixed Points of a Finite Family of Nonexpansive Mapping

Ihssane Hay (), Abdellah Bnouhachem () and Themistocles M. Rassias ()
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Ihssane Hay: Equipe MAISI, Ibn Zohr University, ENSA
Abdellah Bnouhachem: Equipe MAISI, Ibn Zohr University, ENSA
Themistocles M. Rassias: National Technical University of Athens Zografou Campus

A chapter in Nonlinear Analysis and Global Optimization, 2021, pp 227-250 from Springer

Abstract: Abstract In this paper, we introduce and analyze a general iterative algorithm for finding an approximate element of the common set of solutions of the split generalized equilibrium problem and the set of common fixed points of a finite family of nonexpansive mapping in the setting of real Hilbert space. Under appropriate conditions, we derive the strong convergence results for this method. Preliminary numerical experiments are included to verify the theoretical assertions of the proposed method. The results presented in this paper extend and improve some well-known results in the literature.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-61732-5_10

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DOI: 10.1007/978-3-030-61732-5_10

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