Halpern’s type iterations with perturbations in Hilbert spaces: equilibrium solutions and fixed points

In this paper, we consider an iteration process of Halpern’s type for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points for a quasi-nonexpansive mapping with perturbation in a Hilbert space and then prove a strong convergence theorem for such iter...

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Bibliographic Details
Published in:	Journal of global optimization Vol. 56; no. 4; pp. 1591 - 1601
Main Authors:	Chuang, Chih-Sheng, Lin, Lai-Jiu, Takahashi, Wataru
Format:	Journal Article
Language:	English
Published:	Boston Springer US 01.08.2013 Springer Springer Nature B.V
Subjects:	Banach spaces Codes Computer Science Convergence Equilibrium Fixed points (mathematics) Hilbert space Mapping Mathematical analysis Mathematics Mathematics and Statistics Nonlinearity Operations Research/Decision Theory Optimization Perturbation Real Functions Studies Theorems 47H09 Quasi-non expansive mapping Perturbation Equilibrium problem 47H05 47H20
ISSN:	0925-5001, 1573-2916
Online Access:	Get full text
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