Browsing by Author "Petrusel, Gabriela"

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Citation - WoS: 19
Citation - Scopus: 18
Best Proximity Point Theorems for kt-types Cyclic Orbital Contraction Mappings
(House Book Science-casa Cartii Stiinta, 2012) Karapinar, Erdal; Petrusel, Gabriela; Tas, Kenan; Mathematics; Mathematics
In this manuscript, three new KT-types cyclic orbital contractions are defined and some related best proximity point theorems are given. Also, the notion of KT-type cyclic orbital Meir-Keeler contraction is defined and some fixed point theorems for this class of mappings are proved. The results of this manuscript generalize some theorems, on the same subject, of several authors, such as Kirk-Srinavasan-Veeramani, Eldered-Veeramani and Karpagam-Agrawal.
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; Mathematics
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.