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

Cheng, Peng¹ ; Min, Zhaocui²

¹ School of Mathematics and Information Science, North China University of Water Resources and Electric Power, Henan, China
² School of Science, Hebei University of Engineering, Hebei, China

Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 4, p. 1541-1548.

Résumé

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.

Détail

DOI : 10.22436/jnsa.009.04.12

Classification : 65J15, 65K10
Keywords: Asymptotically quasi-\(\phi\)-nonexpansive mapping, equilibrium problem, fixed point, variational inequality, iterative process.

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