Iterative Algorithms for Mixed Equilibrium Problems, Strict Pseudocontractions and Monotone Mappings

In this paper, we introduce some iterative algorithms for finding a common element of the set of solutions of a mixed equilibrium problem, the set of fixed points of a strict pseudocontraction and the set of solutions of a variational inequality for a monotone, Lipschitz continuous mapping. We obtai...

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Veröffentlicht in:	Journal of optimization theory and applications 2010, Vol.144 (1), p.107-119
1. Verfasser:	Peng, J. W.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Applications of Mathematics Applied sciences Approximation Calculus of variations and optimal control Calculus of Variations and Optimal Control Optimization Engineering Equilibrium Exact sciences and technology Hilbert space Mapping Mathematical analysis Mathematical programming Mathematics Mathematics and Statistics Operational research and scientific management Operational research. Management science Operations Research/Decision Theory Optimization Optimization algorithms Sciences and techniques of general use Studies Theorems Theory of Computation Viscosity
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Zusammenfassung:	In this paper, we introduce some iterative algorithms for finding a common element of the set of solutions of a mixed equilibrium problem, the set of fixed points of a strict pseudocontraction and the set of solutions of a variational inequality for a monotone, Lipschitz continuous mapping. We obtain both weak and strong convergence theorems for the sequences generated by these processes in Hilbert spaces.
ISSN:	0022-3239 1573-2878
DOI:	10.1007/s10957-009-9585-5