Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - Scopus: 1Remarks on Some Generalizations of ?-Contraction(Univ Politehnica Bucharest, Sci Bull, 2023) Karapinar, Erdal; Cvetkovic, MarijaThe 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.Article Citation - WoS: 4Citation - Scopus: 4Fixed Point Theorems for Basic Θ-Contraction and Applications(North Univ Baia Mare, 2024) Cvetkovic, Marija; Karapinar, Erdal; Petrusul, Drian; Petruşel, AdrianThe 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.Article Citation - Scopus: 1Remarks On Some Generalizations Of θ-Contraction(Univ Politehnica Bucharest, Sci Bull, 2023) Karapınar, Erdal; Cvetkovic, MarijaThe concept of θ-contraction was modified and generalized in several ways during the last decade. Some assumptions concerning the class Θ are shown to be super-fluous in order to obtain a unique fixed point for a θ-type contraction, θ-Suzuki type and, consequently, θ-contraction. Improvement of several previously published results are de-rived 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.