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

Sudipta Kumar Ghosh; Ozgur Ege; Junaid Ahmad; Ahmad Aloqaily; Nabil Mlaiki

doi:10.3934/math.2024835

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

Sudipta Kumar Ghosh, Ozgur Ege, Junaid Ahmad, Ahmad Aloqaily, Nabil Mlaiki

Western Sydney University

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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Abstract

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.

Original language	English
Pages (from-to)	17184-17204
Number of pages	21
Journal	AIMS Mathematics
Volume	9
Issue number	7
DOIs	https://doi.org/10.3934/math.2024835
Publication status	Published - 2024

Bibliographical note

Publisher Copyright:
© 2024 the Author(s), licensee AIMS Press.

Keywords

Caristi-type fixed point
elliptic-valued b-metric space
rational product terms
simulation function
Urysohn integral equation
α-admissible mapping

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

Abstract

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Keywords

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