Fixed points for α-βE-Geraghty contractions on b-metric spaces and applications to matrix equations-Reference-Cited by-同舟云学术

Fixed points for α-βE-Geraghty contractions on b-metric spaces and applications to matrix equations

Published:2019 Issue:12 Volume:33 Page:3737-3750
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Aydi Hassen¹,Felhi Abdelbasset²,Karapınar Erdal³,Alrubaish Hind⁴,Alshammari Maha⁵

Affiliation:

1. Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam + Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

2. Department of Mathematics and Physics, Preparatory Engineering Institute, Bizerte, Carthage University, Tunisia

3. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

4. College of Computer Science and Information Technology, Imam Abdulrahman Bin Faisal University, Saudi Arabia

5. Institute for Research and Medical Consultations (IRMC), Imam Abdulrahman Bin Faisal University, Dammam, Saudi Arabia

Abstract

In this paper, we introduce the notion of ?-?E-Geraghty contraction type mappings on bmetric spaces and prove the existence and uniqueness of fixed point for such mappings. These results are generalizations of the recent results in [Fulga and Proca, Fixed points for ?E-Geraghty contractions, J. Nonlinear Sci. Appl. 10 (2017), 5125-5131]. We give some examples illustrating the presented results. An application on matrix equations and numerical algorithms are also provided.

Publisher

National Library of Serbia

Subject

General Mathematics

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