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

J. W. Peng ()
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J. W. Peng: Chongqing Normal University

Journal of Optimization Theory and Applications, 2010, vol. 144, issue 1, No 9, 107-119

Abstract: Abstract 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.

Keywords: Mixed equilibrium problem; Extragradient method; Hybrid method; Strict pseudocontraction; Monotone mapping (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s10957-009-9585-5

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