Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213220220701A convergence theorem for a common solution of $f$-fixed point, variational inequality and generalized mixed equilibrium problems in Banach spaces10691087636510.22075/ijnaa.2022.25363.2995ENSolomon BekeleZegeyeDepartment of Mathematics, Faculty of Science, University of Botswana, Pvt Bag 00704, Gaborone, BotswanaHabtu ZegeyeDepartment of Mathematics and Statistical Sciences, Faculty of Sciences, Botswana International University of Science and Technology, Private Bag 16, Palapye, BotswanaMengistu Goa SangagoDepartment of Mathematics, Faculty of Science, University of Botswana, Pvt Bag 00704, Gaborone, BotswanaOganeditse A. BoikanyoDepartment of Mathematics and Statistical Sciences, Faculty of Sciences, Botswana International University of Science and Technology, Private Bag 16, Palapye, BotswanaJournal Article20211127The 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_c9ada71b4d9c7c1fa7560dbdfbeb3ed4.pdf