Open AccessA discussion on a Pata type contraction via iterate at a point
Author(s) -
Erdal Karapınar,
Andreea Fulga,
Vladimir Rakočević
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2004061k
Subject(s) - mathematics , contraction (grammar) , metric space , type (biology) , fixed point , point (geometry) , pure mathematics , combinatorics , mathematical analysis , geometry , linguistics , philosophy , ecology , biology
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.