Matematik Bölümü Yayın Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413
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Article Coincidence and Fixed Points of Non-expansive Type Mappings on 2-Metric Spaces(2007) Namdeo, R.K.; Dubey, Sweetee; Taş, KenanIn this paper a unique coincidence value is obtained for a class of self mappings satisfying non-expansive type condition on 2-metric spaces under various conditions and a fixed point theorem is also obtained.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.Article Analysis of the model of HIV-1 infection of CD4(+) T-cell with a new approach of fractional derivative(Springer, 2020) Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, ShahramBy using the fractional Caputo-Fabrizio derivative, we investigate a new version for the mathematical model of HIV. In this way, we review the existence and uniqueness of the solution for the model by using fixed point theory. We solve the equation by a combination of the Laplace transform and homotopy analysis method. Finally, we provide some numerical analytics and comparisons of the results.Article A Result On A Pata-Ciric Type Contraction At A Point(MDPI AG, 2020) Karapınar, Erdal; Fulga, Andreea; Rakoˇcevi´c, VladimirIn this manuscript, we define a new contraction mapping, Pata-Cirictype contraction at a point, that merges distinct contractions defined by Seghal, Pata and Ciric. We proved that in a complete space, each Pata-Cirictype contraction at a point possesses a fixed point. We express an example to illustrate the observed result.