Browsing by Author "Petrusel, Adrian"

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Editorial Letter for the Special Issue of the Journal of Nonlinear and Convex Analysis Related the 14th International Conference on Fixed Point Theory and Its Applications
(Yokohama Publ, 2024) Petrusel, Adrian; Fulga, Andreea; Karapinar, Erdal
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: 4
Citation - Scopus: 3
New Results on Start-Points for Multi-Valued Maps
(Mdpi, 2020) Karapinar, Erdal; Petrusel, Adrian; Radenovic, Stojan; Gaba, Yae Ulrich
In this manuscript we investigate the existence of start-points for the generalized weakly contractive multi-valued mappings in the setting of left K-complete quasi-pseudo metric space. We provide an example to support the given result.
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: 40
Citation - Scopus: 42
On Istrescu Type Contractions in B-Metric Spaces
(Mdpi, 2020) Karapinar, Erdal; Fulga, Andreea; Petrusel, Adrian
In this paper, we introduce the notions of alpha-almost Istrtescu contraction of type E and of type E in the setting of b-metric space. The existence of fixed points for such mappings is investigated and some examples to illustrate the validity of the main results are considered. In the last part of the paper, we list some immediate consequences.