Some results on fixed points of nonlinear operators and solutions of equilibrium problems

Volume 9, Issue 4, pp 1541--1548 http://dx.doi.org/10.22436/jnsa.009.04.12

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Authors

Peng Cheng - School of Mathematics and Information Science, North China University of Water Resources and Electric Power, Henan, China. Zhaocui Min - School of Science, Hebei University of Engineering, Hebei, China.

Abstract

The purpose of this paper is to investigate fjxed points of an asymptotically quasi-\(\phi\)-nonexpansive mapping in the intermediate sense and a bifunction equilibrium problem. We obtain a strong convergence theorem of solutions in the framework of Banach spaces.

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Keywords

• Asymptotically quasi-\(\phi\)-nonexpansive mapping
• equilibrium problem
• fixed point
• variational inequality
• iterative process.

MSC

•  65J15
•  65K10

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