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Iterative Algorithms for Mixed Equilibrium Problems,Strict Pseudocontractions and Monotone Mappings
Authors:J W Peng
Institution:(1) Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-okayama, Meguro, Tokyo, Japan;
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.
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