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

Document Type : Research Paper

Authors

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

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

Abstract

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.

Keywords

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Volume 13, Issue 2
July 2022
Pages 1069-1087
  • Receive Date: 27 November 2021
  • Revise Date: 23 March 2022
  • Accept Date: 01 April 2022