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Article

On Istrăţescu Type Contractions in b-Metric Spaces

by
Erdal Karapınar
1,2,*,†,
Andreea Fulga
3,† and
Adrian Petruşel
4,5,†
1
Department of Mathematics, Çankaya University, Etimesgut, 06790 Ankara, Turkey
2
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
3
Department of Mathematics and Computer Science, Transilvania University of Brasov, B-dul Eroilor nr.29, 500036 Brasov, Romania
4
Faculty of Mathematics and Computer Science, RomaniaBabeş-Bolyai University, Strada Mihail Kogălniceanu 1, 400000 Cluj-Napoca, Romania
5
Academy of Romanian Scientists, 125, Calea Victoriei, sector 1, RO-010071 Bucharest, Romania
*
Author to whom correspondence should be addressed.
†
These authors contributed equally to this work.
Mathematics 2020, 8(3), 388; https://doi.org/10.3390/math8030388
Submission received: 2 February 2020 / Revised: 1 March 2020 / Accepted: 7 March 2020 / Published: 10 March 2020
(This article belongs to the Special Issue New Trends in Functional Equation)
Versions Notes

Abstract

In this paper, we introduce the notions of α -almost Istrăt̨escu contraction of type E and of type E ∗ in the setting of b-metric space. The existence of fixed points for such mappings is investigated and some examples to illustrate the validity of the main results are considered. In the last part of the paper, we list some immediate consequences.
Keywords: Istrăt̨escu contraction; fixed point; b-metric space Istrăt̨escu contraction; fixed point; b-metric space

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MDPI and ACS Style

Karapınar, E.; Fulga, A.; Petruşel, A. On Istrăţescu Type Contractions in b-Metric Spaces. Mathematics 2020, 8, 388. https://doi.org/10.3390/math8030388

AMA Style

Karapınar E, Fulga A, Petruşel A. On Istrăţescu Type Contractions in b-Metric Spaces. Mathematics. 2020; 8(3):388. https://doi.org/10.3390/math8030388

Chicago/Turabian Style

Karapınar, Erdal, Andreea Fulga, and Adrian Petruşel. 2020. "On Istrăţescu Type Contractions in b-Metric Spaces" Mathematics 8, no. 3: 388. https://doi.org/10.3390/math8030388

APA Style

Karapınar, E., Fulga, A., & Petruşel, A. (2020). On Istrăţescu Type Contractions in b-Metric Spaces. Mathematics, 8(3), 388. https://doi.org/10.3390/math8030388

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