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Browsing by Author "Isik, Huseyin"

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    Fixed point results in C*-algebra-valued bipolar metric spaces with an application
    (Amer inst Mathematical Sciences-aims, 2023) Mani, Gunaseelan; Gnanaprakasam, Arul Joseph; Isik, Huseyin; Jarad, Fahd; 234808; Matematik
    In 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.
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    Citation - WoS: 2
    Citation - Scopus: 2
    Nb-fuzzy metric spaces with topological properties and applications
    (Amer inst Mathematical Sciences-aims, 2023) Fernandez, Jerolina; Isik, Huseyin; Malviya, Neeraj; Jarad, Fahd; 234808; Matematik
    Our aim is to introduce the notion of Nb-fuzzy metric space (FMS). We also define quasi N-FMS, and pseudo Nb-FMS with examples and counterexamples and prove a decomposition theorem for pseudo Nb-FMS. We prove various theorems related to the convergence of sequences and analyze topology of symmetric Nb-FMS. At last, we provide an application of q-contraction mapping as a Banach contraction principle (BCP) in the structure of symmetric Nb-FMS and applied it in the solution of integral equations and linear equations.