Matematik Bölümü Yayın Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413
Browse
3 results
Search Results
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.Article Fixed point results in C*-algebra-valued bipolar metric spaces with an application(2023) Mani, Gunaseelan; Gnanaprakasam, Arul Joseph; Işık, Hüseyin; Jarad, FahdIn this work, we prove existence and uniqueness fixed point theorems under Banach and Kannan type contractions on C*-algebra-valued bipolar metric spaces. To strengthen our main results, an appropriate example and an effective application are presented.Article Study of Gamma-Simulation Functions, Z(Gamma)-Contractions and Revisiting the L-Contractions(2021) Karapınar, Erdal; Joonaghany, Gh Heidary; Khojasteh, E.In this paper, we introduce the notions of Z(Gamma)-contractions and Suzuki Z(Gamma)-contractions via Gamma-simulation functions. By using these new contractions, we extend and unify several existing fixed point results in the corresponding literature. We also show that the recently defined notion of L-simulation function is an special case of Z(Gamma)-contraction. In addition, some notable examples are given to illustrate and support the obtained results.