A hybrid projection method for solving a common solution of a system of equilibrium problems and fixed point problems for asymptotically strict pseudocontractions in the intermediate sense in Hilbert spaces
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Author list: Watchararuangwit C., Phuangphoo P., Kumam P.
Publisher: SpringerOpen
Publication year: 2012
Journal: Journal of Inequalities and Applications (1025-5834)
Volume number: 2012
ISSN: 1025-5834
eISSN: 1029-242X
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 a common solution of a system of equilibrium problems of bifunctions satisfying certain conditions and a common solution of fixed point problems of a family of uniformly Lipschitz continuous and asymptotically [InlineEquation not available: see fulltext.]-strict pseudocontractive mappings 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 a numerical example which supports our results. MSC: 47H05, 47H09, 47H10. ฉ 2012 Watchararuangwit et al.; licensee Springer.
Keywords
asymptotically strict pseudocontraction in the intermediate sense, hybrid projection method, system of equilibrium problems
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