A convergence theorem for a common solution of $f$-fixed point, variational inequality and generalized mixed equilibrium problems in Banach spaces

نویسندگان
Zegeye, Habtu ID 1
Sangago, Mengistu Goa ID 2
Boikanyo, Oganeditse A. ID 3
Zegeye, Solomon Bekele ID 4

1 Department of Mathematics and Statistical Sciences, Faculty of Sciences, Botswana International University of Science and Technology, Private Bag 16, Palapye, Botswana

2 Department of Mathematics, Faculty of Science, University of Botswana, Pvt Bag 00704, Gaborone, Botswana

3 Department of Mathematics and Statistical Sciences, Faculty of Sciences, Botswana International University of Science and Technology, Private Bag 16, Palapye, Botswana

4 Department of Mathematics, Faculty of Science, University of Botswana, Pvt Bag 00704, Gaborone, Botswana

doi
10.22075/ijnaa.2022.25363.2995
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