The Górnicki -Proinov type contraction on quasi-metric spaces

A. El-Sayed Ahmed; Andreea Fulga; A. El-Sayed Ahmed; Andreea Fulga

doi:10.3934/math.2021511

AIMS Mathematics

2021, Volume 6, Issue 8: 8815-8834. doi: 10.3934/math.2021511

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Research article

The Górnicki -Proinov type contraction on quasi-metric spaces

A. El-Sayed Ahmed ¹,
Andreea Fulga ^{2
,
,}

1.
Mathematics Department, Faculty of Science, Taif University P. O. Box 11099, Taif 21944, Saudi Arabia
2.
Department of Mathematics and Computer Sciences, Transilvania University of Brasov, Brasov, Romania

Received: 09 February 2021 Accepted: 05 June 2021 Published: 10 June 2021
MSC : 47H09, 47H10, 54H25

In this manuscript, we look for the answer of the question: Under which conditions the Górnicki-Proinov type contractions possesses a fixed point in the framework of quasi-metric spaces. The observed results are not only generalize but also uniform several existing fixed point theorem in this direction. We also present an example to demonstrate the validity of the obtained main result.
- the Górnicki-Proinov type contraction,
- fixed point theorems,
- quasi-metric space
Citation: A. El-Sayed Ahmed, Andreea Fulga. The Górnicki -Proinov type contraction on quasi-metric spaces[J]. AIMS Mathematics, 2021, 6(8): 8815-8834. doi: 10.3934/math.2021511

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Abstract

In this manuscript, we look for the answer of the question: Under which conditions the Górnicki-Proinov type contractions possesses a fixed point in the framework of quasi-metric spaces. The observed results are not only generalize but also uniform several existing fixed point theorem in this direction. We also present an example to demonstrate the validity of the obtained main result.

References

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