Zegeye, Solomon, Zegeye, Habtu, Sangago, Mengistu Goa, Boikanyo, Oganeditse A.. (1401). A convergence theorem for a common solution of $f$-fixed point, variational inequality and generalized mixed equilibrium problems in Banach spaces. هنرهای کاربردی, 13(2), 1069-1087. doi: 10.22075/ijnaa.2022.25363.2995
Solomon Bekele Zegeye; Habtu Zegeye; Mengistu Goa Sangago; Oganeditse A. Boikanyo. "A convergence theorem for a common solution of $f$-fixed point, variational inequality and generalized mixed equilibrium problems in Banach spaces". هنرهای کاربردی, 13, 2, 1401, 1069-1087. doi: 10.22075/ijnaa.2022.25363.2995
Zegeye, Solomon, Zegeye, Habtu, Sangago, Mengistu Goa, Boikanyo, Oganeditse A.. (1401). 'A convergence theorem for a common solution of $f$-fixed point, variational inequality and generalized mixed equilibrium problems in Banach spaces', هنرهای کاربردی, 13(2), pp. 1069-1087. doi: 10.22075/ijnaa.2022.25363.2995
Zegeye, Solomon, Zegeye, Habtu, Sangago, Mengistu Goa, Boikanyo, Oganeditse A.. A convergence theorem for a common solution of $f$-fixed point, variational inequality and generalized mixed equilibrium problems in Banach spaces. هنرهای کاربردی, 1401; 13(2): 1069-1087. doi: 10.22075/ijnaa.2022.25363.2995

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
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
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