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A convergence theorem for a common solution of $f$-fixed point, variational inequality and generalized mixed equilibrium problems in Banach spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 89، دوره 13، شماره 2، مهر 2022، صفحه 1069-1087 اصل مقاله (533.52 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25363.2995 | ||
| نویسندگان | ||
| Solomon Bekele Zegeye1؛ Habtu Zegeye* 2؛ Mengistu Goa Sangago1؛ Oganeditse A. Boikanyo2 | ||
| 1Department of Mathematics, Faculty of Science, University of Botswana, Pvt Bag 00704, Gaborone, Botswana | ||
| 2Department of Mathematics and Statistical Sciences, Faculty of Sciences, Botswana International University of Science and Technology, Private Bag 16, Palapye, Botswana | ||
| تاریخ دریافت: 06 آذر 1400، تاریخ بازنگری: 03 فروردین 1401، تاریخ پذیرش: 12 فروردین 1401 | ||
| چکیده | ||
| The purpose of this paper is to construct an algorithm for approximating a common element of the set of solutions of a finite family of generalized mixed equilibrium problems, the set of $f$-fixed points of a finite family of $f$-pseudocontractive mappings, and the set of solutions of a finite family of variational inequality problems for Lipschitz monotone mappings in real reflexive Banach spaces. | ||
| کلیدواژه‌ها | ||
| Generalized mixed equilibrium problem؛ Variational inequality problem؛ $f$-pseudocontractive mapping؛ monotone mapping؛ reflexive Banach spaces | ||
| مراجع | ||
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