On Solving the Equilibrium Problem and Fixed Point Problem for Nonspreading Mappings and Lipschitzian Mappings in Hilbert Spaces

Sarawut Suwannaut

Authors

  • Support Team

Keywords:

nonspreading mapping, Lipschitzian mapping, S-mapping, equilibrium problem

Abstract

The purpose of this research is to introduce and study the $S$-mapping generated by a finite family of nonspreading mappings and Lipschitzian mapping in a Hilbert space. Then, we prove a strong convergence theorem for finding a common element of the set of fixed points of a finite family of nonspreading mappings and Lipschitzian mappings and a common solution of a finite family of equilibrium problems. Futhermore, applying our main theorem, the additional results for equilibrium problem are obtained.

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Published

2019-11-22

How to Cite

Team, S. (2019). On Solving the Equilibrium Problem and Fixed Point Problem for Nonspreading Mappings and Lipschitzian Mappings in Hilbert Spaces: Sarawut Suwannaut. Thai Journal of Mathematics. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/841