Projection methods for quasi-nonexpansive multivalued mappings in Hilbert spaces

AIMS Mathematics

article

Anantachai Padcharoen¹  Kritsana Sokhuma²  Jamilu Abubakar³ 

[1] Department of Mathematics, Faculty of Science and Technology, Rambhai Barni Rajabhat University;Department of Mathematics, Faculty of Science and Technology, Phranakhon Rajabhat University;Department of Mathematics, Usmanu Danfodiyo University

关键词: quasi-nonexpansive multivalued mappings;    weak and strong convergence;    inertial technical term;    D-iteration;    projection methods;   

DOI  :  10.3934/math.2023364

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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.

【 授权许可】

CC BY