Affiliation:
1. Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Private Bag 16 , Palapye 276 , Botswana
Abstract
Abstract
In this article, we propose a Halpern-type subgradient extragradient algorithm for solving a common element of the set of solutions of variational inequality problems for continuous monotone mappings and the set of f-fixed points of continuous f-pseudocontractive mappings in reflexive real Banach spaces. In addition, we prove a strong convergence theorem for the sequence generated by the algorithm. As a consequence, we obtain a scheme that converges strongly to a common f-fixed point of continuous f-pseudocontractive mappings and a scheme that converges strongly to a common zero of continuous monotone mappings in Banach spaces. Furthermore, we provide a numerical example to illustrate the implementability of our algorithm.
Subject
Applied Mathematics,Geometry and Topology,Algebra and Number Theory
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