A New Iterative Algorithm for Pseudomonotone Equilibrium Problem and a Finite Family of Demicontractive Mappings. (20th March 2020)

• Record Type: Journal Article
• Authors: Ogbuisi, F. U.; Isiogugu, F. O.
• Other Names: Wong Patricia J. Y. Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2020(2020)
• Publication Date: 2020-03-20
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2020/3183529
• Languages: English
• ISSNs: 1085-3375

Abstract

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.