The Górnicki -Proinov type contraction on quasi-metric spaces

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.

Keywords

• the górnicki-proinov type contraction
• fixed point theorems
• quasi-metric space