Mixed Variational-like Inclusion Involving Yosida Approximation Operator in Banach Spaces

Faizan Ahmad Khan (), Mohd Iqbal, Tirth Ram () and Hamid I. A. Mohammed
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Faizan Ahmad Khan: Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia
Mohd Iqbal: Department of Mathematics, University of Jammu, Jammu 180006, India
Tirth Ram: Department of Mathematics, University of Jammu, Jammu 180006, India
Hamid I. A. Mohammed: Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia

Mathematics, 2022, vol. 10, issue 21, 1-14

Abstract: This paper deals with the study of mixed variational-like inclusions involving Yosida approximation operator (MVLIYAO) and η -proximal mapping in Banach spaces. It is investigated that (MVLIYAO) is equivalent to fixed point problems in Banach spaces. Using this equivalence, a new iterative algorithm is proposed to find the solution of (MVLIYAO). A numerical example is provided to support our main result by using the MATLAB program.

Keywords: mixed variational-like inclusion; Yosida approximation operator; ? -proximal operator; iterative algorithm (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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