Fixed Point Methods for Solving Solutions of a Generalized Equilibrium Problem

Volume 9, Issue 1, pp 149--159 http://dx.doi.org/10.22436/jnsa.009.01.14

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Authors

Lingmin Zhang - Institute of Mathematics and Information Technology, Hebei Normal University of Science and Technology, Qinhuangdao, Hebei 066004, China. Yan Hao - School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan, Zhejiang 316022, China.

Abstract

In this paper, a generalized equilibrium problem is investigated based on fixed point methods. Strong convergence theorems of solutions are established in the framework of Hilbert spaces.

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Keywords

• Equilibrium problem
• nonexpansive mapping
• fixed point
• variational inequality.

MSC

•  47H05
•  47H09

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