A New Alternative Regularization Method for Solving Generalized Equilibrium Problems

Yanlai Song and Omar Bazighifan
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Yanlai Song: College of Science, Zhongyuan University of Technology, Zhengzhou 450007, China
Omar Bazighifan: Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy

Mathematics, 2022, vol. 10, issue 8, 1-14

Abstract: The purpose of this paper is to present a numerical method for solving a generalized equilibrium problem involving a Lipschitz continuous and monotone mapping in a Hilbert space. The proposed method can be viewed as an improvement of the Tseng’s extragradient method and the regularization method. We show that the iterative process constructed by the proposed method converges strongly to the smallest norm solution of the generalized equilibrium problem. Several numerical experiments are also given to illustrate the performance of the proposed method. One of the advantages of the proposed method is that it requires no knowledge of Lipschitz-type constants.

Keywords: Hilbert space; monotone operator; Tseng’s extragardient method; regularization method; strong convergence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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