Modified Hybrid Block Iterative Algorithm for Convex Feasibility Problems and Generalized Equilibrium Problems for Uniformly Quasi- -Asymptotically Nonexpansive Mappings

Siwaporn Saewan and Poom Kumam

Abstract and Applied Analysis, 2010, vol. 2010, 1-22

Abstract:

We introduce a modified block hybrid projection algorithm for solving the convex feasibility problems for an infinite family of closed and uniformly quasi- -asymptotically nonexpansive mappings and the set of solutions of the generalized equilibrium problems. We obtain a strong convergence theorem for the sequences generated by this process in a uniformly smooth and strictly convex Banach space with Kadec-Klee property. The results presented in this paper improve and extend some recent results.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:357120

DOI: 10.1155/2010/357120

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