On elliptic valued b-metric spaces and some new fixed point results with an application-Reference-Cited by-同舟云学术

On elliptic valued b-metric spaces and some new fixed point results with an application

Published:2024 Issue:7 Volume:9 Page:17184-17204
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Ghosh Sudipta Kumar¹,Ege Ozgur²,Ahmad Junaid³,Aloqaily Ahmad⁴⁵,Mlaiki Nabil⁴

Affiliation:

1. Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial Technology (KIIT) Deemed to be University, Bhubaneswar 751024, Odisha, India

2. Department of Mathematics, Faculty of Science, Ege University, Bornova, 35100 Izmir, Turkey

3. Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad 44000, Pakistan

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

5. School of Computer, Data and Mathematical Sciences, Western Sydney University, Sydney 2150, Australia

Abstract

<abstract><p>In this paper, we introduce the concept of elliptic-valued b-metric spaces, extending the notions of elliptic-valued metric spaces and complex-valued metric spaces. We present several fixed-point results that involve rational and product terms within this novel space framework. To support our main findings, we offer numerical examples. Additionally, we demonstrate an application of Urysohn integral equations.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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