Discussions on Proinov-<math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <msub> <mrow> <mi mathvariant="script">C</mi> </mrow> <mrow> <mi>b</mi> </mrow> </msub> </math>-Contraction Mapping on <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <mi>b</mi> </math>-Metric Space-Reference-Cited by-同舟云学术

Discussions on Proinov- $C_{b}$ -Contraction Mapping on $b$ -Metric Space

Published:2023-05-08 Issue: Volume:2023 Page:1-10
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Karapınar Erdal¹²^ORCID,Fulga Andreea³^ORCID

Affiliation:

1. Department of Medical Research, China Medical University Hospital, China Medical University, 40402 Taichung, Taiwan

2. Department of Mathematics, Çankaya University, 06790, Etimesgut, Ankara, Turkey

3. Department of Mathematics and Computer Sciences, Transilvania University of Brasov, Brasov, Romania

Abstract

In the present paper, we introduce the notion of Proinov-

C_{b}

-contraction mapping and we discuss it within the most interesting abstract structure, namely,

b

-metric spaces. We further take into consideration the necessary conditions to guarantee the existence and uniqueness of fixed points for such mappings, as well as indicate the validity of the main results by providing illustrative examples.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2023/1411808.pdf

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