Simple proximal-type algorithms for equilibrium problems

• Published in: Journal of global optimization Vol. 89; no. 4; pp. 1069 - 1098
• Main Authors: Yao, Yonghong, Adamu, Abubakar, Shehu, Yekini, Yao, Jen-Chih
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.08.2024; Springer; Springer Nature B.V
• Subjects: Algorithms; Computer Science; Convergence; Design standards; Efficiency; Equilibrium; Hilbert space; Mathematics; Mathematics and Statistics; Operations Research/Decision Theory; Optimization; Real Functions; 68Q25; 90C30; Equilibrium problems; 90C25; 90C60; Proximal-type algorithm; Convergence

This paper proposes two simple and elegant proximal-type algorithms to solve equilibrium problems with pseudo-monotone bifunctions in the setting of Hilbert spaces. The proposed algorithms use one proximal point evaluation of the bifunction at each iteration. Consequently, prove that the sequences o...