Some variants of Ćirić’s multi-valued contraction principle

Author:

Alecsa Cristian Daniel1,Petruşel Adrian2

Affiliation:

1. Department of Mathematics , Babeş-Bolyai University , M. Kogălniceanu Street, nr. 1, Cluj-Napoca , Romania ; Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy , Fântânele Street nr. 57 , Cluj-Napoca , Romania

2. Department of Mathematics , Babeş-Bolyai University , M. Kogălniceanu Street, nr. 1 , Cluj-Napoca , Romania ; Academy of Romanian Scientists Independenţei Street , nr. 54 Bucharest , Romania

Abstract

Abstract In this article, a study of the fixed point problem for Ćirić type multi-valued operators is presented. More precisely, some variants ofĆirić’s contraction principle for multi-valued operators, as well as a strict fixed point principle forĆirić type multi-valued will be given.

Publisher

Walter de Gruyter GmbH

Reference24 articles.

1. [1] J. Andres and L. Górniewicz, On the Banach contraction principle for multivalued mappings, Approximation, Optimization and Mathematical Economics (M. Lassonde -ed.), Physica-Verlag, Heidelberg, (2001), 1-2310.1007/978-3-642-57592-1_1

2. [2] Boriceanu M., Fixed point theory for multivalued generalized contraction on a set with two b-metrics, Stud. Univ.Babeş-Bolyai, 54 (3), (2009)

3. [3] L.Ćirić, Fixed points for generalized multi-valued contractions, Mat. Vesnik., 9, (1972), 265–272

4. [4] N.V. Dung and A. Petruşel, On iterated functions systems consisting of Kannan maps, Reich maps, Chatterjea type maps, and related results, J. Fixed Point Theory Appl., 9, (2017), 2271–228510.1007/s11784-017-0419-z

5. [5] G. Chifu and G. Petruşel, Fixed point results for multivalued Hardy-Rogers contractions in b-metric spaces, Filomat, 31 (8), (2017), 2499–250710.2298/FIL1708499C

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