Projection methods for quasi-nonexpansive multivalued mappings in Hilbert spaces-Reference-Cited by-同舟云学术

Projection methods for quasi-nonexpansive multivalued mappings in Hilbert spaces

Published:2023 Issue:3 Volume:8 Page:7242-7257
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Padcharoen Anantachai¹,Sokhuma Kritsana²,Abubakar Jamilu³

Affiliation:

1. Department of Mathematics, Faculty of Science and Technology, Rambhai Barni Rajabhat University, Chanthaburi 22000, Thailand

2. Department of Mathematics, Faculty of Science and Technology, Phranakhon Rajabhat University, Bangkok 10220, Thailand

3. Department of Mathematics, Usmanu Danfodiyo University, Sokoto 840004, Nigeria

Abstract

<abstract><p>This paper proposes a modified D-iteration to approximate the solutions of three quasi-nonexpansive multivalued mappings in a real Hilbert space. Due to the incorporation of an inertial step in the iteration, the sequence generated by the modified method converges faster to the common fixed point of the mappings. Furthermore, the generated sequence strongly converges to the required solution using a shrinking technique. Numerical results obtained indicate that the proposed iteration is computationally efficient and outperforms the standard forward-backward with inertial step.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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