A new algorithm for two finite families of demicontractive mappings and equilibrium problems

A. Abkar and M. Tavakkoli

Applied Mathematics and Computation, 2015, vol. 266, issue C, 491-500

Abstract: In this paper, we introduce a new algorithm for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of two finite families of demicontractive mappings. The strong convergence theorem of the proposed algorithm is established under some suitable control conditions in a real Hilbert space. Our result generalizes several recent results in the current literature.

Keywords: Demicontractive mapping; Equilibrium problem; Strictly pseudo-contractive mapping; Strictly pseudononspreading mapping (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:266:y:2015:i:c:p:491-500

DOI: 10.1016/j.amc.2015.05.078

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