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On Istrăţescu Type Contractions in b -Metric Spaces

Author

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  • Erdal Karapınar

    (Department of Mathematics, Çankaya University, Etimesgut, 06790 Ankara, Turkey
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    These authors contributed equally to this work.)

  • Andreea Fulga

    (Department of Mathematics and Computer Science, Transilvania University of Brasov, B-dul Eroilor nr.29, 500036 Brasov, Romania
    These authors contributed equally to this work.)

  • Adrian Petruşel

    (Faculty of Mathematics and Computer Science, RomaniaBabeş-Bolyai University, Strada Mihail Kogălniceanu 1, 400000 Cluj-Napoca, Romania
    Academy of Romanian Scientists, 125, Calea Victoriei, sector 1, RO-010071 Bucharest, Romania
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Erdal Karapınar & Andreea Fulga & Adrian Petruşel, 2020. "On Istrăţescu Type Contractions in b -Metric Spaces," Mathematics, MDPI, vol. 8(3), pages 1-11, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:388-:d:330927
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