Some New Aspects of Metric Fixed Point Theory-Reference-Cited by-同舟云学术

Some New Aspects of Metric Fixed Point Theory

Published:2021-08-09 Issue: Volume:2021 Page:1-8
ISSN:1687-9139
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Javed Khalil¹^ORCID,Uddin Fahim¹²,Işık Hüseyin³^ORCID,Al-shami Tareq M.⁴^ORCID,Adeel Faizan¹,Arshad Muhammad¹

Affiliation:

1. Department of Mathematics and Statistic, International Islamic University, Islamabad, Pakistan

2. NUIST Reading Academy 219 Ningliu Road, Nanjing, Jiangsu 210044, China

3. Department of Engineering Science, Bandırma Onyedi Eylül University, 10200 Bandırma, Balıkesir, Turkey

4. Department of Mathematics, Sana’a University, Sana’a, Yemen

Abstract

In this manuscript, we prove fixed point results in

R_{m}

-metric spaces endowed with an amorphous binary relation. Moreover, we give an example to highlight the utility of our main results. Finally, we apply our result to examine the existence and uniqueness of the solution for a Fredholm integral equation.

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2021/9839311.pdf

Reference25 articles.

1. Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales

2. Partial Metric Topology

3. Partial b-Metric Spaces and Fixed Point Theorems

4. Some coupled fixed point theorems in partially ordered S-metric spaces

5. Some novel fixed point theorems in partially ordered metric spaces

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