# A monotone projection algorithm for solving fixed points of nonlinear mappings and equilibrium problems

Volume 9, Issue 4, pp 1453--1462 Publication Date: April 20, 2016
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### Authors

Mingliang Zhang - School of Mathematics and Statistics, Henan University, Kaifeng 475000, China. Sun Young Cho - Department of Mathematics, Gyeongsang National University, Jinju 660-701, Korea.

### Abstract

In this paper, fixed points of asymptotically quasi-$\phi$-nonexpansive mappings in the intermediate sense and equilibrium problems are investigated based on a monotone projection algorithm. Strong convergence theorems are established in the framework of reflexive Banach spaces.

### Keywords

• Asymptotically quasi-$\phi$-nonexpansive mapping
• equilibrium problem
• fixed point
• generalized projection.

•  47J25
•  47N40

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