Hybrid projection method for generalized mixed equilibrium problems, variational inequality problems, and fixed point problems in Banach spaces

A new hybrid projection iterative scheme is introduced to approximate a common element of the solution set of a generalized mixed equilibrium problem, the solution set of a variational inequality problem, and the set of fixed points of a relatively weak nonexpansive mapping in the Banach spaces. The...

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Veröffentlicht in:	Applied mathematics and mechanics 2011-02, Vol.32 (2), p.251-264
Hauptverfasser:	Wang, Ya-qin, Zeng, Liu-chuan
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Approximation Banach space Classical Mechanics Fixed points (mathematics) Fluid- and Aerodynamics Inequalities Iterative methods Mapping Mathematical analysis Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Partial Differential Equations Projection
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Zusammenfassung:	A new hybrid projection iterative scheme is introduced to approximate a common element of the solution set of a generalized mixed equilibrium problem, the solution set of a variational inequality problem, and the set of fixed points of a relatively weak nonexpansive mapping in the Banach spaces. The obtained results generalize and improve the recent results announced by many other authors.
ISSN:	0253-4827 1573-2754
DOI:	10.1007/s10483-011-1411-x