Approximation of the Fixed Point of Multivalued Quasi-Nonexpansive Mappings via a Faster Iterative Process with Applications-Reference-Cited by-同舟云学术

Approximation of the Fixed Point of Multivalued Quasi-Nonexpansive Mappings via a Faster Iterative Process with Applications

Published:2020-03-20 Issue: Volume:2020 Page:1-11
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Okeke Godwin Amechi¹^ORCID,Abbas Mujahid²³,de la Sen Manuel⁴^ORCID

Affiliation:

1. Department of Mathematics, School of Physical Sciences, Federal University of Technology Owerri, P. M. B. 1526 Owerri, Imo State, Nigeria

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

3. China Medical University, Taichung 404, Taiwan

4. Institute of Research and Development of Processes, University of the Basque Country, Campus of Leioa (Bizkaia), P.O. Box 644- Bilbao, Barrio Sarriena, 48940 Leioa, Spain

Abstract

In this paper, we approximate the fixed points of multivalued quasi-nonexpansive mappings via a faster iterative process and propose a faster fixed-point iterative method for finding the solution of two-point boundary value problems. We prove analytically and with series of numerical experiments that the Picard–Ishikawa hybrid iterative process has the same rate of convergence as the CR iterative process.

Funder

Abdus Salam School of Mathematical Sciences, Government College University

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2020/8634050.pdf

Reference32 articles.

1. A solution of delay differential equations via Picard–Krasnoselskii hybrid iterative process

2. Convergence analysis of the Picard–Ishikawa hybrid iterative process with applications

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