Approximating a solution of an equilibrium problem by Viscosity iteration involving a nonexpansive semigroup
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Binayak Choudhury
binayak12@yahoo.co.in
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Subhajit Kundu
subhajit.math@gmail.com
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DOI:
https://doi.org/10.4067/S0719-06462013000300002Abstract
In this paper we have defined a new iteration in order to solve an equilibrium problem in Hilbert spaces. The iteration we have introduced is a viscosity type iteration and involves a semigroup of nonexpansive operators. We have established that depending on some control conditions, our iteration strongly converges to a solution of the equilibrium problem.
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