Browsing by Author "Petrusel, Gabriela"

Now showing 1 - 5 of 5

Citation - WoS: 19
Citation - Scopus: 18
Best Proximity Point Theorems for Kt-Types Cyclic Orbital Contraction Mappings
(House Book Science-casa Cartii Stiinta, 2012) Karapınar, Erdal; Karapinar, Erdal; Petrusel, Gabriela; Taş, Kenan; Tas, Kenan; Matematik
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: 1
Citation - Scopus: 1
Fixed Point Results for Frum-Ketkov Type Contractions in B-Metric Spaces
(Mdpi, 2021) Karapinar, Erdal; Petrusel, Gabriela; Chifu, Cristian
The purpose of this paper is to present some fixed point results for Frum-Ketkov type operators in complete b-metric spaces.
Citation - WoS: 2
Citation - Scopus: 2
Frum-Ketkov Type Multivalued Operators
(North Univ Baia Mare, 2021) Petrusel, Adrian; Petrusel, Gabriela; Karapinar, Erdal
Let (M, d) be a metric space, X subset of M be a nonempty closed subset and K subset of M be a nonempty compact subset. By definition, an upper semi-continuous multivalued operator F : X -> P (X) is said to be a strong Frum-Ketkov type operator if there exists alpha is an element of]0, 1[ such that e(d)(F(x), K) <= alpha D-d (x, K), for every x is an element of X, where e(d) is the excess functional generated by d and D-d is the distance from a point to a set. In this paper, we will study the fixed points of strong Frum-Ketkov type multivalued operators.
Citation - WoS: 11
Citation - Scopus: 12
On Admissible Hybrid Geraghty Contractions
(North Univ Baia Mare, 2020) Karapinar, Erdal; Karapınar, Erdal; Petrusel, Adrian; Petrusel, Gabriela; Matematik
In this manuscript, we introduce the notion of admissible hybrid Geraghty contraction and we investigate the existence of fixed points of such mappings in the setting of complete metric spaces. Our results not only extend and generalize several results in the fixed point theory literature, but also unify most of them. We give some corollaries to illustrate the novelty of the main result.
Citation - WoS: 20
Citation - Scopus: 22
On Hybrid Contractions in the Context of Quasi-Metric Spaces
(Mdpi, 2020) Karapinar, Erdal; Petrusel, Gabriela; Fulga, Andreea
In this manuscript, we will investigate the existence of fixed points for mappings that satisfy some hybrid type contraction conditions in the setting of quasi-metric spaces. We provide examples to assure the validity of the given results. The results of this paper generalize several known theorems in the recent literature.