On solution of Fredholm integral equations via fuzzy $ b $-metric spaces using triangular property-Reference-Cited by-同舟云学术

On solution of Fredholm integral equations via fuzzy $ b $-metric spaces using triangular property

Published:2022 Issue:6 Volume:7 Page:11102-11118
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Mani Gunaseelan¹,Gnanaprakasam Arul Joseph²,Haq Absar Ul³,Baloch Imran Abbas⁴⁵,Park Choonkil⁶

Affiliation:

1. Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, Tamil Nadu, India

2. Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur 603203, Kanchipuram, Chennai, Tamil Nadu, India

3. Department of Natural Sciences and Humanities, University of Engineering and Technology (Narowal Campus), Lahore 54000, Pakistan

4. Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan

5. Higher Education Department, Govt. Graduate College for Boys Gulberg Lahore, Punjab, Pakistan

6. Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea

Abstract

<abstract><p>In the present paper, we prove common fixed point without continuity by using triangular property on fuzzy $ b $-metric space. Our results generalize and expand some of the literature's well-known results. We also explore some of the application of our key results to Fredholm integral equation.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference12 articles.

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