Strong Convergence Results of Split Equilibrium Problems and Fixed Point Problems. (29th January 2021)

• Record Type: Journal Article
• Authors: Zhu, Li-Jun; Kuo, Hsun-Chih; Wen, Ching-Feng
• Other Names: Psihoyios George Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2021(2021)
• Publication Date: 2021-01-29
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2021/6624321
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : In this paper, we investigate the split equilibrium problem and fixed point problem in Hilbert spaces. We propose an iterative scheme for solving such problem in which the involved equilibrium bifunctions f and g are pseudomonotone and monotone, respectively, and the operators S and T are all pseudocontractive. We show that the suggested scheme converges strongly to a solution of the considered problem.