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- W2124698506 abstract "Abstract In this article, we introduce a new hybrid projection iterative scheme based on the shrinking projection method for finding a common element of the set of solutions of the generalized mixed equilibrium problems and the set of common fixed points for a pair of asymptotically quasi- ϕ -nonexpansive mappings in Banach spaces and set of variational inequalities for an α -inverse strongly monotone mapping. The results obtained in this article improve and extend the recent ones announced by Matsushita and Takahashi (Fixed Point Theory Appl. 2004(1):37-47, 2004), Qin et al. (Appl. Math. Comput. 215:3874-3883, 2010), Chang et al. (Nonlinear Anal. 73:2260-2270, 2010), Kamraksa and Wangkeeree (J. Nonlinear Anal. Optim.: Theory Appl. 1(1):55-69, 2010) and many others. AMS Subject Classification : 47H05, 47H09, 47J25, 65J15." @default.
- W2124698506 created "2016-06-24" @default.
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- W2124698506 date "2011-06-23" @default.
- W2124698506 modified "2023-09-23" @default.
- W2124698506 title "The shrinking projection method for solving generalized equilibrium problems and common fixed points for asymptotically quasi-ϕ-nonexpansive mappings" @default.
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- W2124698506 doi "https://doi.org/10.1186/1687-1812-2011-9" @default.
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