A new weak convergence non-monotonic self-adaptive iterative scheme for solving equilibrium problems

• Published in: AIMS mathematics Vol. 6; no. 6; pp. 5612 - 5638
• Main Authors: Rehman, Habib ur, Kumam, Wiyada, Kumam, Poom, Shutaywi, Meshal
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2021
• Subjects: equilibrium problem; fixed point problems; lipschitz-type conditions; non-monotonic step size rule; subgradient extragradient method; variational inequalities

A number of methods have been proposed to solve the equilibrium problems, one of which is an extragradient method that is particularly interesting and effective. In this paper, we introduce a modified subgradient extragradient method to solve the equilibrium problems in a real Hilbert space. The pro...