An inertially constructed projection based hybrid algorithm for fixed point and split null point problems-Reference-Cited by-同舟云学术

An inertially constructed projection based hybrid algorithm for fixed point and split null point problems

Published:2023 Issue:3 Volume:8 Page:6590-6608
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Arfat Yasir¹²,Kumam Poom¹²³,Phiangsungnoen Supak⁴⁵,Khan Muhammad Aqeel Ahmad⁶,Fukhar-ud-din Hafiz⁷

Affiliation:

1. Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok 10140, Thailand

2. Center of Excellence in Theoretical and Computational Science (TaCS-CoE), King Mongkut's University of Technology Thonburi (KMUTT), Bangkok 10140, Thailand

3. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

4. Department of General Education (Mathematics), Faculty of Liberal Arts, Rajamangala University of Technology Rattanakosin, Samphanthawong, Bangkok, Thailand

5. Institute of Research and Development, Rajamangala University of Technology Rattanakosin, Nakhon Pathom 73170, Thailand

6. Department of Mathematics, COMSATS University Islamabad, Lahore 54000, Pakistan

7. Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan

Abstract

<abstract><p>In this paper, we posit a framework for the investigation of the fixed point problems (FPP) involving an infinite family of $ \Bbbk $-demicontractive operators and the split common null point problems (SCNPP) in Hilbert spaces. We employ an accelerated variant of the hybrid shrinking projection algorithm for the construction of a common solution associated with the FPP and SCNPP. Theoretical results comprise strong convergence characteristics under suitable sets of constraints as well as numerical results are established for the underlying algorithm. Applications to signal processing as well as various abstract problems are also incorporated.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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