Convergence Theorems for Equilibrium Problems and Fixed-Point Problems of an Infinite Family of 𠑘 𠑖 -Strictly Pseudocontractive Mapping in Hilbert Spaces

Haitao Che, Meixia Li and Xintian Pan

Journal of Applied Mathematics, 2012, vol. 2012, 1-23

Abstract:

We first extend the definition of W n from an infinite family of nonexpansive mappings to an infinite family of strictly pseudocontractive mappings, and then propose an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of an infinite family of 𠑘 𠑖 -strictly pseudocontractive mappings in Hilbert spaces. The results obtained in this paper extend and improve the recent ones announced by many others. Furthermore, a numerical example is presented to illustrate the effectiveness of the proposed scheme.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:416476

DOI: 10.1155/2012/416476

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