Shrinking Projection Methods for Accelerating Relaxed Inertial Tseng-Type Algorithm with Applications-Reference-Cited by-同舟云学术

Shrinking Projection Methods for Accelerating Relaxed Inertial Tseng-Type Algorithm with Applications

Published:2020-11-06 Issue: Volume:2020 Page:1-14
ISSN:1563-5147
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Hammad Hasanen A.¹^ORCID,Rehman Habib ur²^ORCID,De la Sen Manuel³^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

2. Department of Mathematics, Monglkuts University of Technology, Bangkok 10140, Thailand

3. Institute of Research and Development of Processes University of the Basque Country, Leioa (Bizkaia) 48940, Spain

Abstract

Our main goal in this manuscript is to accelerate the relaxed inertial Tseng-type (RITT) algorithm by adding a shrinking projection (SP) term to the algorithm. Hence, strong convergence results were obtained in a real Hilbert space (RHS). A novel structure was used to solve an inclusion and a minimization problem under proper hypotheses. Finally, numerical experiments to elucidate the applications, performance, quickness, and effectiveness of our procedure are discussed.

Funder

Basque Government

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2020/7487383.pdf

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