Fixed point theorems in controlled $ J- $metric spaces-Reference-Cited by-同舟云学术

Fixed point theorems in controlled $ J- $metric spaces

Published:2023 Issue:2 Volume:8 Page:4753-4763
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Aiadi Suhad Subhi¹²,Othman Wan Ainun Mior²,Wong Kok Bin²,Mlaiki Nabil¹

Affiliation:

1. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

2. Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur, Malaysia

Abstract

<abstract><p>In this article, we introduce a new extension to $ J- $metric spaces, called $ C_{J}- $metric spaces, where $ \theta $ is the controlled function in the triangle inequality. We prove some fixed point results in this new type of metric space. In addition, we present some applications to systems of linear equations to illustrate our results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference21 articles.

1. N. Souayah, N. Mlaiki, A new type of three-dimensional metric spaces with applications to fractional differential equations, AIMS Math., 7 (2022), 17802–17814. https://doi.org/10.3934/math.2022980

2. S. Banach, Sur les opérations dans les ensembles abstraits et leur applications aux équations intégrales, Fund. Math., 3 (1922), 133–181. https://doi.org/10.4064/fm-3-1-133-181

3. P. Debnath, N. Konwar, S. Radenović, Metric fixed point theory, Applications in Science, Engineering and Behavioural Sciences, Springer, Singapore, 2021. https://doi.org/10.1007/978-981-16-4896-0

4. P. Debnath, H. M. Srivastava, P. Kumam, B. Hazarika, Fixed point theory and fractional calculus, Recent Advances and Applications, Springer Singapore, 2022. https://doi.org/10.1007/978-981-19-0668-8

5. T. Kamran, M. Samreen, Q. UL Ain, A generalization of $b-$metric space and some fixed point theorems, Mathematics, 5 (2017), 19. https://doi.org/10.3390/math5020019

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Multivalued nonlinear dominated mappings on a closed ball and associated numerical illustrations with applications to nonlinear integral and fractional operators;Heliyon;2024-07

2. On some fixed point results using CG simulation functions via w-distance with applications;Heliyon;2024-04

3. Novel results for two families of multivalued dominated mappings satisfying generalized nonlinear contractive inequalities and applications;Demonstratio Mathematica;2024-01-01

4. A New Extension of CJ Metric Spaces—Partially Controlled J Metric Spaces;Mathematics;2023-07-03

5. Applying an Extended β-ϕ-Geraghty Contraction for Solving Coupled Ordinary Differential Equations;Symmetry;2023-03-14