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

Zhang, Mingliang¹ ; Cho, Sun Young²

¹ School of Mathematics and Statistics, Henan University, Kaifeng 475000, China
² Department of Mathematics, Gyeongsang National University, Jinju 660-701, Korea

Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 4, p. 1453-1462.

Résumé

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.

Détail

DOI : 10.22436/jnsa.009.04.05

Classification : 47J25, 47N40
Keywords: Asymptotically quasi-\(\phi\)-nonexpansive mapping, equilibrium problem, fixed point, generalized projection.

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