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September 2017 A shrinking projection extragradient algorithm for equilibrium problem and fixed point problem
Mohammad Eslamian
Tbilisi Math. J. 10(4): 45-54 (September 2017). DOI: 10.1515/tmj-2017-0044

Abstract

In this paper, a shrinking projection algorithm based on the extragradient iteration method for finding a common element of the set of common fixed points of a finite family of asymptotically nonexpansive mappings and a generalized nonexpansive set-valued mapping and the set of solutions of equilibrium problem for pseudomonotone and Lipschitz-type continuous bifunctions is introduced and investigated in Hilbert spaces. Moreover, the strong convergence of the sequence generated by the proposed algorithm is derived under some suitable assumptions. These results are new and develop some recent results in this field.

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Mohammad Eslamian. "A shrinking projection extragradient algorithm for equilibrium problem and fixed point problem." Tbilisi Math. J. 10 (4) 45 - 54, September 2017. https://doi.org/10.1515/tmj-2017-0044

Information

Received: 6 August 2016; Accepted: 2 September 2017; Published: September 2017
First available in Project Euclid: 21 April 2018

zbMATH: 06803753
MathSciNet: MR3714463
Digital Object Identifier: 10.1515/tmj-2017-0044

Subjects:
Primary: 47J25
Secondary: 47H10, 47N10‎, 65J15

Rights: Copyright © 2017 Tbilisi Centre for Mathematical Sciences

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Vol.10 • No. 4 • September 2017
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