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Iterative Algorithms with Perturbations for Solving the Systems of Generalized Equilibrium Problems and the Fixed Point Problems of Two Quasi-Nonexpansive Mappings

Rabian Wangkeeree and Uraiwan Boonkong

Abstract and Applied Analysis, 2012, vol. 2012, 1-22

Abstract:

We introduce new iterative algorithms with perturbations for finding a common element of the set of solutions of the system of generalized equilibrium problems and the set of common fixed points of two quasi-nonexpansive mappings in a Hilbert space. Under suitable conditions, strong convergence theorems are obtained. Furthermore, we also consider the iterative algorithms with perturbations for finding a common element of the solution set of the systems of generalized equilibrium problems and the common fixed point set of the super hybrid mappings in Hilbert spaces.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:161897

DOI: 10.1155/2012/161897

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