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Open AccessArticle

A Result on a Pata-Ćirić Type Contraction at a Point

by Erdal Karapınar 1,2,*,†, Andreea Fulga 3,† and Vladimir Rakočević 4,†
1
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
2
Department of Mathematics, Çankaya University, 06790 Etimesgut, Ankara, Turkey
3
Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, Romania
4
Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2020, 8(3), 393; https://doi.org/10.3390/math8030393
Received: 4 February 2020 / Revised: 26 February 2020 / Accepted: 5 March 2020 / Published: 10 March 2020
In this manuscript, we define a new contraction mapping, Pata-Ćirić type contraction at a point, that merges distinct contractions defined by Seghal, Pata and Ćirić. We proved that in a complete space, each Pata-Ćirić type contraction at a point possesses a fixed point. We express an example to illustrate the observed result. View Full-Text
Keywords: pata type contraction; iterate at a point; fixed point; metric space pata type contraction; iterate at a point; fixed point; metric space
MDPI and ACS Style

Karapınar, E.; Fulga, A.; Rakočević, V. A Result on a Pata-Ćirić Type Contraction at a Point. Mathematics 2020, 8, 393.

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