Strong Convergence Theorems for a Generalized Mixed Equilibrium Problem and a Family of Total Quasi‐ϕ‐Asymptotically Nonexpansive Multivalued Mappings in Banach Spaces

J. F. Tan and S. S. Chang

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: The main purpose of this paper is by using a hybrid algorithm to find a common element of the set of solutions for a generalized mixed equilibrium problem, the set of solutions for variational inequality problems, and the set of common fixed points for a infinite family of total quasi‐ϕ‐asymptotically nonexpansive multivalued mapping in a real uniformly smooth and strictly convex Banach space with Kadec‐Klee property. The results presented in this paper improve and extend some recent results announced by some authors.

Date: 2012
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https://doi.org/10.1155/2012/147915

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:147915

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