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

Erdal KARAPINAR, Andreea Fulga, Vladimir Rakocevic


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.


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