A Hybrid Method for a Countable Family of Multivalued Maps, Equilibrium Problems, and Variational Inequality Problems

Watcharaporn Cholamjiak and Suthep Suantai

Discrete Dynamics in Nature and Society, 2010, vol. 2010, 1-14

Abstract:

We introduce a new monotone hybrid iterative scheme for finding a common element of the set of common fixed points of a countable family of nonexpansive multivalued maps, the set of solutions of variational inequality problem, and the set of the solutions of the equilibrium problem in a Hilbert space. Strong convergence theorems of the purposed iteration are established.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:349158

DOI: 10.1155/2010/349158

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