A monotone projection algorithm for solving fixed points of nonlinear mappings and equilibrium problems
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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.
Share and Cite
ISRP Style
Mingliang Zhang, Sun Young Cho, A monotone projection algorithm for solving fixed points of nonlinear mappings and equilibrium problems, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 4, 1453--1462
AMA Style
Zhang Mingliang, Cho Sun Young, A monotone projection algorithm for solving fixed points of nonlinear mappings and equilibrium problems. J. Nonlinear Sci. Appl. (2016); 9(4):1453--1462
Chicago/Turabian Style
Zhang, Mingliang, Cho, Sun Young. "A monotone projection algorithm for solving fixed points of nonlinear mappings and equilibrium problems." Journal of Nonlinear Sciences and Applications, 9, no. 4 (2016): 1453--1462
Keywords
- Asymptotically quasi-\(\phi\)-nonexpansive mapping
- equilibrium problem
- fixed point
- generalized projection.
MSC
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