A modified hybrid projection method for solving generalized mixed equilibrium problems and fixed point problems in Banach spaces
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Author list: Saewan S., Kumam P.
Publisher: Elsevier
Publication year: 2011
Journal: Computers & Mathematics with Applications (0898-1221)
Volume number: 62
Issue number: 4
Start page: 1723
End page: 1735
Number of pages: 13
ISSN: 0898-1221
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we introduce a modified new hybrid projection method for finding the set of solutions of the generalized mixed equilibrium problems and the convex feasibility problems for an infinite family of closed and uniformly quasi-φ-asymptotically nonexpansive mappings. Strong convergence theorems are established in a uniformly smooth and strictly convex Banach space which also enjoys the KadecKlee property. Our results improve and extend the corresponding results announced by Qin et al. (2010) and many authors. © 2011 Elsevier Ltd. All rights reserved.
Keywords
Convex feasibility problems, Inverse strongly monotone operator