A Result on a Pata-?iri? Type Contraction at a Point

Erdal Karapınar, Andreea Fulga and Vladimir Rakočević
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Erdal Karapınar: Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
Andreea Fulga: Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, Romania
Vladimir Rakočević: Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia

Mathematics, 2020, vol. 8, issue 3, 1-13

Abstract: In this manuscript, we define a new contraction mapping, Pata-?iri? type contraction at a point, that merges distinct contractions defined by Seghal, Pata and ?iri?. We proved that in a complete space, each Pata-?iri? type contraction at a point possesses a fixed point. We express an example to illustrate the observed result.

Keywords: pata type contraction; iterate at a point; fixed point; metric space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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