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Citation - WoS: 46
Citation - Scopus: 49
Fixed Point Theorems for Generalized (α_* - Ψ)-Ciric Contractive Multivalued Operators in b-metric Spaces
(int Scientific Research Publications, 2016) Bota, Monica-Felicia; Chifu, Cristian; Karapinar, Erdal
In this paper we introduce the notion (alpha(*) - psi)- Ciric-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. (C) 2016 All rights reserved.
Citation - WoS: 7
Citation - Scopus: 6
Qualitative Properties of the Solution of a System of Operator Inclusions in b-metric Spaces Endowed With a Graph
(Springer Singapore Pte Ltd, 2018) Chifu, Cristian; Karapinar, Erdal; Petrusel, Gabriela
The purpose of this paper is to present existence and uniqueness results for the solution of a system of operator inclusions. Data dependence, well-posedness, Ulam-Hyers stability, and Ostrovski stability of the coupled fixed point system are studied. The basic idea is to apply a fixed point theorem for an appropriate operator on the Cartesian product of a given b-metric space endowed with a graph.