A Note on the Górnicki-Proinov Type Contraction

A Note on the Górnicki-Proinov Type Contraction

In this paper, we propose a notion of the Górnicki-Proinov type contraction. Then, we prove the uniqueness and existence of the fixed point for such mappings in the framework of the complete metric spaces. Some illustrative examples are also expressed to strengthen the observed results.

Bibliographic Details
Main Authors: Erdal Karapınar, Manuel De La Sen, Andreea Fulga
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/6686644
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spelling doaj-c4bee6017add43978942272affe44de62021-02-15T12:53:04ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66866446686644A Note on the Górnicki-Proinov Type ContractionErdal Karapınar0Manuel De La Sen1Andreea Fulga2Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, VietnamInstitute of Research and Development of Processes University of the Basque Country, 48940 Leioa, SpainDepartment of Mathematics and Computer Sciences, Transilvania University of Brasov, Brasov, RomaniaIn this paper, we propose a notion of the Górnicki-Proinov type contraction. Then, we prove the uniqueness and existence of the fixed point for such mappings in the framework of the complete metric spaces. Some illustrative examples are also expressed to strengthen the observed results.http://dx.doi.org/10.1155/2021/6686644
collection DOAJ
language English
format Article
sources DOAJ
author Erdal Karapınar
Manuel De La Sen
Andreea Fulga
spellingShingle Erdal Karapınar
Manuel De La Sen
Andreea Fulga
A Note on the Górnicki-Proinov Type Contraction
Journal of Function Spaces
author_facet Erdal Karapınar
Manuel De La Sen
Andreea Fulga
author_sort Erdal Karapınar
title A Note on the Górnicki-Proinov Type Contraction
title_short A Note on the Górnicki-Proinov Type Contraction
title_full A Note on the Górnicki-Proinov Type Contraction
title_fullStr A Note on the Górnicki-Proinov Type Contraction
title_full_unstemmed A Note on the Górnicki-Proinov Type Contraction
title_sort note on the górnicki-proinov type contraction
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2021-01-01
description In this paper, we propose a notion of the Górnicki-Proinov type contraction. Then, we prove the uniqueness and existence of the fixed point for such mappings in the framework of the complete metric spaces. Some illustrative examples are also expressed to strengthen the observed results.
url http://dx.doi.org/10.1155/2021/6686644
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