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2020 A New Iterative Algorithm for Pseudomonotone Equilibrium Problem and a Finite Family of Demicontractive Mappings
F. U. Ogbuisi, F. O. Isiogugu
Abstr. Appl. Anal. 2020: 1-11 (2020). DOI: 10.1155/2020/3183529

Abstract

In this paper, we introduce a new iterative method in a real Hilbert space for approximating a point in the solution set of a pseudomonotone equilibrium problem which is a common fixed point of a finite family of demicontractive mappings. Our result does not require that we impose the condition that the sum of the control sequences used in the finite convex combination is equal to 1. Furthermore, we state and prove a strong convergence result and give some numerical experiments to demonstrate the efficiency and applicability of our iterative method.

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F. U. Ogbuisi. F. O. Isiogugu. "A New Iterative Algorithm for Pseudomonotone Equilibrium Problem and a Finite Family of Demicontractive Mappings." Abstr. Appl. Anal. 2020 1 - 11, 2020. https://doi.org/10.1155/2020/3183529

Information

Received: 7 April 2019; Accepted: 22 August 2019; Published: 2020
First available in Project Euclid: 27 May 2020

zbMATH: 07245155
MathSciNet: MR4080283
Digital Object Identifier: 10.1155/2020/3183529

Rights: Copyright © 2020 Hindawi

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