Adaptive inertial Yosida approximation iterative algorithms for split variational inclusion and fixed point problems-Reference-Cited by-同舟云学术

Adaptive inertial Yosida approximation iterative algorithms for split variational inclusion and fixed point problems

Published:2023 Issue:6 Volume:8 Page:12922-12942
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Dilshad Mohammad¹,Akram Mohammad²,Nasiruzzaman Md.¹,Filali Doaa³,Khidir Ahmed A.¹⁴

Affiliation:

1. Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah-107, Saudi Arabia

3. Department of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, Saudi Arabia

4. Faculty of Technology of Mathematical Sciences and Statistics, Alneelain University, Khartoum, Sudan

Abstract

<abstract><p>In this paper, we present self-adaptive inertial iterative algorithms involving Yosida approximation to investigate a split variational inclusion problem (SVIP) and common solutions of a fixed point problem (FPP) and SVIP in Hilbert spaces. We analyze the weak convergence of the proposed iterative algorithm to explore the approximate solution of the SVIP and strong convergence to estimate the common solution of the SVIP and FPP under some mild suppositions. A numerical example is demonstrated to validate the theoretical findings, and comparison of our iterative methods with some known schemes is outlined.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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