On generalized $ \Im_b $-contractions and related applications-Reference-Cited by-同舟云学术

On generalized $ \Im_b $-contractions and related applications

Published:2023 Issue:9 Volume:8 Page:20892-20913
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Rashid Muhammad¹,Sarwar Muhammad¹,Fawad Muhammad¹,Mansour Saber²,Aydi Hassen³⁴⁵

Affiliation:

1. Department of Mathematics, University of Malakand, Chakdara Dir(L), Khyber Pakhtunkhwa, Pakistan, Email: mrashidghani26@gmail.com, muhmmadfawad123@gmail.com

2. Department of Mathematics, Umm Al-Qura University, Faculty of Applied sciences, P.O. Box 14035, Holly Makkah 21955, Saudi Arabia, Email: samansour@uqu.edu.sa

3. Université de Sousse, Institut Supérieur d'Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia

4. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

5. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

Abstract

<abstract><p>In this manuscript, using the idea of $ b $-simulation functions, certain common fixed point results via generalized $ \Im_b $-contractions are investigated in the context of b-metric spaces. These findings generalize and supplement various numbers of established results from the existing literature. Examples and applications are also provided for the authenticity of the presented work. Besides, we ensure the existence of a unique common solution for systems of Volterra-Hammerstein integral and Urysohn integral equations, respectively, by applying the established results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference34 articles.

1. S. Radenović, T. Dosenović, T. A. Lampert, Z. Golubović, A note on some recent fixed point results for cyclic contractions in $b$-metric spaces and an application to interal equations, Appl. Math. Comput., 273 (2016), 155–164. https://doi.org/10.1016/j.amc.2015.09.089

2. M. Shoaib, M. Sarwar, K. Shah, P. Kumum, Fixed point results and its applications to the systems of non-linear integral and differential equations of arbitrary order, J. Nonlinear Sci. Appl., 9 (2016), 4949–4962. https://doi.org/10.22436/jnsa.009.06.128

3. A. Azam, B. Fisher, M. S. Khan, Common fixed point theorems in complex valued metric spaces, Number. Funct. Anal. optim., 32 (2011), 243–253. https://doi.org/10.1080/01630563.2011.533046

4. L. Gholizadeh, A fixed point theorem in generalized ordered metric spaces with applications, J. Nonlinear Sci. Appl., 6 (2013), 244–251. https://doi.org/10.22436/jnsa.006.04.02

5. M. B. Zada, M. Sarwar, C. Tunc, Fixed point theorems in b-metric spaces and their applications to non-linear fractional differential and integral equations, J. Fixed Point Theory Appl., 20 (2018), 25. https://doi.org/10.1007/s11784-018-0510-0