Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 13 2 2022 07 01 A convergence theorem for a common solution of $f$-fixed point, variational inequality and generalized mixed equilibrium problems in Banach spaces 1069 1087 6365 10.22075/ijnaa.2022.25363.2995 EN Solomon Bekele Zegeye Department of Mathematics, Faculty of Science, University of Botswana, Pvt Bag 00704, Gaborone, Botswana Habtu Zegeye Department of Mathematics and Statistical Sciences, Faculty of Sciences, Botswana International University of Science and Technology, Private Bag 16, Palapye, Botswana Mengistu Goa Sangago Department of Mathematics, Faculty of Science, University of Botswana, Pvt Bag 00704, Gaborone, Botswana Oganeditse A. Boikanyo Department of Mathematics and Statistical Sciences, Faculty of Sciences, Botswana International University of Science and Technology, Private Bag 16, Palapye, Botswana Journal Article 2021 11 27 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. https://ijnaa.semnan.ac.ir/article_6365_85ea6fd7a2ca3960d0cf5201933ac998.pdf