Fixed point theorems for generalized (\(\alpha_*-\psi\))-Ćirić-type contractive multivalued operators in b-metric spaces

Volume 9, Issue 3, pp 1165--1177 http://dx.doi.org/10.22436/jnsa.009.03.43

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Authors

Monica-Felicia Bota - Department of Mathematics, Babeş-Bolyai University, Kogălniceanu Street No. 1, 400084, Cluj-Napoca, Romania. Cristian Chifu - Department of Busines, Babeş-Bolyai University, Horea Str. 7, Cluj-Napoca, Romania. Erdal Karapinar - Department of Mathematics, Atilim University, 06836, Incek, Ankara, Turkey.

Abstract

In this paper we introduce the notion of (\(\alpha_*-\psi\))-Ćirić-type contractive multivalued operator and investigate the existence and uniqueness of fixed point for such a mapping in b-metric spaces. The well-posedness of the fixed point problem and the Ulam-Hyres stability is also studied.

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Keywords

• \(\alpha_*-\psi\)-contractive multivalued operator
• fixed point
• b-metric space
• well-posedness
• Ulam-Hyers stability.

MSC

•  46T99
•  47H10
•  54H25

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