Some Fixed Point Results for Sehgal-Proinov Type Contractions in Modular b−Metric Spaces

Abdurrahman Büyükkaya; Mahpeyker Öztürk

doi:10.2478/auom-2023-0032

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Some Fixed Point Results for Sehgal-Proinov Type Contractions in Modular b−Metric Spaces

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 31 (2023): Issue 3 (September 2023)

By: Abdurrahman Büyükkaya and Mahpeyker Öztürk

Open Access

|Oct 2023

Abstract

In this paper, inspired by Proinov type contractions, we intend to acquire novel definitions and results that expand Sehgals [3] metric fixed point theory in the sense of modular b−metric space. To demonstrate the theorems, we employ a general form of (α, β) −admissible and multi-valued mappings and obtain some general results for single-valued mapping in the context of modular b−metric space.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2023-0032 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 61 - 86

Submitted on: Sep 26, 2022

Accepted on: Feb 7, 2023

Published on: Oct 21, 2023

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Modular metric space,

Multi-valued mapping,

Proinov-type function,

Sehgal type contraction

Related subjects:

Mathematics,

General mathematics

© 2023 Abdurrahman Büyükkaya, Mahpeyker Öztürk, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 31 (2023): Issue 3 (September 2023)