Strong Convergence Results of Split Equilibrium Problems and Fixed Point Problems | Zendy

Li-Jun Zhu | Zendy; Hsun-Chih Kuo | Zendy; ChingFeng Wen | Zendy

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Strong Convergence Results of Split Equilibrium Problems and Fixed Point Problems

Author(s) -

Li-Jun Zhu,

Hsun-Chih Kuo,

ChingFeng Wen

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/6624321

Subject(s) - mathematics , convergence (economics) , fixed point , equilibrium point , point (geometry) , mathematical economics , mathematical optimization , mathematical analysis , geometry , differential equation , economic growth , economics

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.

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