2014
DOI: 10.1186/1687-1812-2014-80
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General iterative algorithms for mixed equilibrium problems, variational inequalities and fixed point problems

Abstract: In this paper, we introduce and analyze a general iterative algorithm for finding a common solution of a mixed equilibrium problem, a general system of variational inequalities and a fixed point problem of infinitely many nonexpansive mappings in a real Hilbert space. Under some mild conditions, we derive the strong convergence of the sequence generated by the proposed algorithm to a common solution, which also solves some optimization problem. The result presented in this paper improves and extends some corre… Show more

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Cited by 2 publications
(2 citation statements)
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“…; See, for example, [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] and the references therein.…”
Section: Introductionunclassified
“…; See, for example, [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] and the references therein.…”
Section: Introductionunclassified
“…During the last decade, many authors proposed different kinds of algorithms to find the common solutions of some problems mentioned above; See, for example, [13,15,23,25,26] and the references therein.…”
Section: System Of Variational Inclusion Problemsmentioning
confidence: 99%