A discussion on a Pata type contraction via iterate at a point

Erdal Karapınar, Andreea Fulga, Vladimir Rakocevic
2020 Filomat  
In this paper, we introduce the notion of Pata type contraction at a point in the context of a complete metric space. We observe that such contractions possesses unique fixed point without continuity assumption on the given mapping. Thus, is extended the original results of Pata. We also provide an example to illustrate its validity.
doi:10.2298/fil2004061k fatcat:q4jtku3fdvgy7imphhdlgws5wq