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2013 New Hybrid Steepest Descent Algorithms for Equilibrium Problem and Infinitely Many Strict Pseudo-Contractions in Hilbert Spaces
Peichao Duan
J. Appl. Math. 2013(SI21): 1-8 (2013). DOI: 10.1155/2013/139123

Abstract

We propose an explicit iterative scheme for finding a common element of the set of fixed points of infinitely many strict pseudo-contractive mappings and the set of solutions of an equilibrium problem by the general iterative method, which solves the variational inequality. In the setting of real Hilbert spaces, strong convergence theorems are proved. The results presented in this paper improve and extend the corresponding results reported by some authors recently. Furthermore, two numerical examples are given to demonstrate the effectiveness of our iterative scheme.

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Peichao Duan. "New Hybrid Steepest Descent Algorithms for Equilibrium Problem and Infinitely Many Strict Pseudo-Contractions in Hilbert Spaces." J. Appl. Math. 2013 (SI21) 1 - 8, 2013. https://doi.org/10.1155/2013/139123

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950531
MathSciNet: MR3094969
Digital Object Identifier: 10.1155/2013/139123

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI21 • 2013
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