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An Iterative Scheme for Generalized Equilibrium, Variational Inequality and Fixed Point Problems Based on the Extragradient Method | ||
| Journal of New Researches in Mathematics | ||
| مقاله 7، دوره 2، شماره 7، اسفند 2016، صفحه 61-76 اصل مقاله (3.18 M) | ||
| نوع مقاله: research paper | ||
| نویسندگان | ||
S. Jahedi   ؛ M. A. Payvand
| ||
| College of Mathematics, Shiraz University of Technology | ||
| چکیده | ||
| The problem ofgeneralized equilibrium problem is very general in the different subjects .Optimization problems, variational inequalities, Nash equilibrium problem and minimax problems are as special cases of generalized equilibrium problem. The purpose of this paper is to investigate the problem of approximating a common element of the set of generalized equilibrium problem, variational inequality problem and fixed point problem. In this article, a new iterative algorithm is introduced based on theextragradient method. Under suitable conditions, a weak convergence theorem for finding a common solution of a generalized equilibrium problem, a variational inequality problem and the set of fixed points of a finite family of strictly pseudo contraction mappings is proved. Our results improve and generalize some recent results in the literature. Finally, we give a numerical example to show the validity of the results. | ||
| کلیدواژهها | ||
| Equilibrium problem؛ Variational inequality؛ Fixed point problem؛ Strictly pseudo contraction mapping | ||
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آمار تعداد مشاهده مقاله: 790 تعداد دریافت فایل اصل مقاله: 699 |
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