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Citation - Scopus: 7
On Α*-Ψ Multi-Valued Operators in B-Metric Spaces and Applications
(Natural Sciences Publishing Co., 2015) Bota,M.-F.; Ilea,V.; Karapinar,E.; Mleşniţe,O.
In this paper, we will prove some existence and uniqueness theorems for α*-ψ contractive type operators defined over bmetric spaces. In particular, we will provide results related to Ulam-Hyers stability, well-posedness and limit shadowing. The theorems presented will extend, generalize or unify several statements currently exist in the literature on those topics.We will also give examples to illustrate the applications our results. © 2015 NSP Natural Sciences Publishing Cor.
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.