Strong Convergence of a New Hybrid Iterative Scheme for Nonexpensive Mappings and Applications-Reference-Cited by-同舟云学术

Strong Convergence of a New Hybrid Iterative Scheme for Nonexpensive Mappings and Applications

Published:2022-03-19 Issue: Volume:2022 Page:1-11
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Jia Jie¹,Shabbir Khurram²^ORCID,Ahmad Khushdil²^ORCID,Shah Nehad Ali³^ORCID,Botmart Thongchai⁴^ORCID

Affiliation:

1. Anyang Vocational and Technical College, Foreign Affairs Office of Scientific Research, Anyang, Henan 455001, China

2. Department of Mathematics, Government College University, Katehrey Road, Lahore 54000, Pakistan

3. Department of Mathematics, Khon Kaen University, Khon Kaen 40002, Thailand

4. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Abstract

In the article, we have proposed a new type of hybrid iterative scheme which is a hybrid of Picard and Thakur et al. repetitive schemes. This new hybrid iterative scheme converges faster than all leading schemes like Picard-S∗ hybrid, Picard-S, Picard-Ishikawa hybrid, Picard-Mann hybrid, Thakur et al. and Abbas and Nazir, S-iterative, Ishikawa and Mann iterative schemes for contraction mapping. By using the Picard-Thakur hybrid iterative scheme, we can find the solution of delay differential equations and also prove some convergence results for nonexpansive mapping in a uniformly convex Banach space.

Funder

National Research Program for Universities

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/4855173.pdf

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