A Note on the Górnicki-Proinov Type Contraction-Reference-Cited by-同舟云学术

A Note on the Górnicki-Proinov Type Contraction

Published:2021-01-27 Issue: Volume:2021 Page:1-8
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Karapınar Erdal¹²³,De La Sen Manuel⁴^ORCID,Fulga Andreea⁵^ORCID

Affiliation:

1. Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Vietnam

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

3. Department of Medical Research, China Medical University, Taichung, Taiwan

4. Institute of Research and Development of Processes University of the Basque Country, 48940 Leioa, Spain

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

Abstract

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.

Funder

Basque Government

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/6686644.pdf

Reference21 articles.

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2. Some results on fixed points;R. Kannan;Bulletin of the Calcutta Mathematical Society,1968

3. Remarks on asymptotic regularity and fixed points