Inertial Iterative Algorithms for Split Variational Inclusion and Fixed Point Problems-Reference-Cited by-同舟云学术

Inertial Iterative Algorithms for Split Variational Inclusion and Fixed Point Problems

Published:2023-08-30 Issue:9 Volume:12 Page:848
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Filali Doaa¹,Dilshad Mohammad²^ORCID,Alyasi Lujain Saud Muaydhid²,Akram Mohammad³^ORCID

Affiliation:

1. Department of Mathematical Science, College of Sciences, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

2. Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia

3. Department of Mathematics, Faculty of Science, Islamic University of Madinah, P.O. Box 170, Madinah 42351, Saudi Arabia

Abstract

This paper aims to present two inertial iterative algorithms for estimating the solution of split variational inclusion (SpVIsP) and its extended version for estimating the common solution of (SpVIsP) and fixed point problem (FPP) of a nonexpansive mapping in the setting of real Hilbert spaces. We establish the weak convergence of the proposed algorithms and strong convergence of the extended version without using the pre-estimated norm of a bounded linear operator. We also exhibit the reliability and behavior of the proposed algorithms using appropriate assumptions in a numerical example.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/9/848/pdf

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