Open Access
Autumn 2016 Approximation methods for solutions of system of split equilibrium problems
Godwin Chidi Ugwunnadi, Bashir Ali
Adv. Oper. Theory 1(2): 164-183 (Autumn 2016). DOI: 10.22034/aot.1609.1018


In this paper, we introduce a new algorithm for finding a common fixed point of finite family of continuous pseudocontractive mappings which is a unique solution of somevariational inequality problem and whose image under some bounded linear operator isa common solution of some system of equilibrium problems in a real Hilbert space. Ourresult generalize and improve some well-known results.


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Godwin Chidi Ugwunnadi. Bashir Ali. "Approximation methods for solutions of system of split equilibrium problems." Adv. Oper. Theory 1 (2) 164 - 183, Autumn 2016.


Received: 3 October 2016; Accepted: 9 December 2016; Published: Autumn 2016
First available in Project Euclid: 4 December 2017

zbMATH: 06670078
MathSciNet: MR3723618
Digital Object Identifier: 10.22034/aot.1609.1018

Primary: 47H09
Secondary: 47J20 , 47J25

Keywords: fixed point , pseudocontractive mapping , split equilibrium problem , strong monotone operator

Rights: Copyright © 2016 Tusi Mathematical Research Group

Vol.1 • No. 2 • Autumn 2016
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