On Istr??escu Type Contractions in b -Metric Spaces

Erdal Karapınar, Andreea Fulga and Adrian Petruşel
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Erdal Karapınar: Department of Mathematics, Çankaya University, Etimesgut, 06790 Ankara, Turkey
Andreea Fulga: Department of Mathematics and Computer Science, Transilvania University of Brasov, B-dul Eroilor nr.29, 500036 Brasov, Romania
Adrian Petruşel: Faculty of Mathematics and Computer Science, RomaniaBabeş-Bolyai University, Strada Mihail Kogălniceanu 1, 400000 Cluj-Napoca, Romania

Mathematics, 2020, vol. 8, issue 3, 1-11

Abstract: In this paper, we introduce the notions of α -almost Istr?t?escu 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: Istr?t?escu contraction; fixed point; b-metric space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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