The System of Mixed Equilibrium Problems for Quasi‐Nonexpansive Mappings in Hilbert Spaces

Rabian Wangkeeree and Panatda Boonman

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: We first introduce the iterative procedure to approximate a common element of the fixed‐point set of two quasinonexpansive mappings and the solution set of the system of mixed equilibrium problem (SMEP) in a real Hilbert space. Next, we prove the weak convergence for the given iterative scheme under certain assumptions. Finally, we apply our results to approximate a common element of the set of common fixed points of asymptotic nonspreading mapping and asymptotic TJ mapping and the solution set of SMEP in a real Hilbert space.

Date: 2012
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https://doi.org/10.1155/2012/282094

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:282094

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