A hybrid projection method for generalized mixed equilibrium problems and fixed point problems in Banach spaces

We introduce a hybrid projection iterative scheme for approximating a common element of the set of solutions of a generalized mixed equilibrium problem and the set of fixed points of two quasi- ϕ -nonexpansive mappings in a real uniformly convex and uniformly smooth Banach space. Then, we establish...

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Bibliographic Details
Published in:	Nonlinear analysis. Hybrid systems Vol. 4; no. 4; pp. 631 - 643
Main Authors:	Petrot, Narin, Wattanawitoon, Kriengsak, Kumam, Poom
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.11.2010
Subjects:	Algorithms Banach space Convergence Fixed points (mathematics) Generalized mixed equilibrium problem Hybrid projection iterative scheme Hybrid systems Mapping Nonlinearity Projection Quasi- [formula omitted]-nonexpansive mapping Relatively nonexpansive mapping Strong convergence Theorems Strong convergence Hybrid projection iterative scheme Generalized mixed equilibrium problem Quasi- ϕ -nonexpansive mapping Relatively nonexpansive mapping
ISSN:	1751-570X
Online Access:	Get full text
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