The Iterative Method for Generalized Equilibrium Problems and a Finite Family of Lipschitzian Mappings in Hilbert Spaces

Kangtunyakarn, Atid; Suwannaut, Sarawut

doi:10.1155/2022/8686041

The Iterative Method for Generalized Equilibrium Problems and a Finite Family of Lipschitzian Mappings in Hilbert Spaces

Author(s)

Kangtunyakarn, Atid

Suwannaut, Sarawut

Date Issued

January 1, 2022

Type

Article

DOI

10.1155/2022/8686041

Abstract

In this research, we introduced the S-mapping generated by a finite family of contractive mappings, Lipschitzian mappings and finite real numbers using the results of Kangtunyakarn (2013). Then, we prove the strong convergence theorem for fixed point sets of finite family of contraction and Lipschitzian mapping and solution sets of the modified generalized equilibrium problem introduced by Suwannaut and Kangtunyakarn (2014). Finally, numerical examples are provided to illustrate our main theorem.

Citation

Journal of Mathematics, 2022, 2022