Approximation theorems for solving common solution of a system of mixed equilibrium problems and variational inequality problems and fixed point problems for asymptotically strict pseudocontractions in the intermediate sense
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Author list: Phuangphoo P., Kumam P.
Publisher: Elsevier
Publication year: 2012
Journal: Applied Mathematics and Computation (0096-3003)
Volume number: 219
Issue number: 3
Start page: 837
End page: 855
Number of pages: 19
ISSN: 0096-3003
eISSN: 1873-5649
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we introduce a new iterative algorithm which is constructed by using the hybrid projection method for finding the common solution of a system of mixed equilibrium problems of bifunctions satisfying certain the conditions and the common solution of variational inequality problems of inverse strongly monotone mappings and the common solution of fixed point problems for a family of uniformly Lipschitzian continuous and asymptotically λ i-strict pseudocontractive mapping in the intermediate sense. We prove the strong convergence theorem for a new iterative algorithm under some mild conditions in Hilbert spaces. Finally, we also give some numerical examples for support our results. © 2012 Elsevier Inc. All rights reserved.
Keywords
asymptotically strict pseudocontraction in the intermediate sense, System of mixed equilibrium problem
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