Browsing by Author "Cvetkovic, Marija"

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Citation - WoS: 4
Citation - Scopus: 2
Fixed Point Theorems for Basic Θ-Contraction and Applications
(North Univ Baia Mare, 2024) Cvetkovic, Marija; Karapinar, Erdal; Petrusul, Drian
The main aim of this paper is omitting some superfluous assumptions in the definition of the class of functions Theta, by means of which were defined and studied various classes of theta-contractions, and still obtaining the uniqueness of the fixed point for this new type of contractive mappings. Several generalizations of continuous theta-contractions are presented along with their applications to the study of integral equations.
Citation - WoS: 4
Citation - Scopus: 5
An Inevitable Note on Bipolar Metric Spaces
(Amer inst Mathematical Sciences-aims, 2024) Cvetkovic, Marija; Karapinar, Erdal
Bipolar metric spaces and related fixed point theorems therein were introduced based on the motivation of measuring the distance between the elements of distinct sets. The question regarding the independence of these results from the analogous results on a fixed point of an induced mapping on a Cartesian product of two sets. We proved that bipolar metric space is metrizable and we presented two different approaches for defining a metric induced by a bipolar metric. Two obtained metric spaces demonstrated the lack of novelty of fixed point theorems for covariant and contravariant contraction.
Remarks on Some Generalizations of ?-Contraction
(Univ Politehnica Bucharest, Sci Bull, 2023) Karapinar, Erdal; Cvetkovic, Marija
The concept of 0-contraction was modified and generalized in several ways during the last decade. Some assumptions concerning the class T are shown to be superfluous in order to obtain a unique fixed point for a ?-type contraction, ?-Suzuki type and, consequently, ?-contraction. Improvement of several previously published results are derived with a modified contractive condition and we have presented an example of possible application. The same approach was used for the F-Suzuki contraction and numerous generalizations are made.