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Browsing by Author "Isik, Huseyin"

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    Citation - WoS: 6
    Citation - Scopus: 7
    Fixed Point Results in C*-Algebra Bipolar Metric Spaces With an Application
    (Amer inst Mathematical Sciences-aims, 2023) Gnanaprakasam, Arul Joseph; Isik, Huseyin; Jarad, Fahd; Mani, Gunaseelan
    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: 3
    Citation - Scopus: 3
    Nb-Fuzzy Metric Spaces With Topological Properties and Applications
    (Amer inst Mathematical Sciences-aims, 2023) Isik, Huseyin; Malviya, Neeraj; Jarad, Fahd; Fernandez, Jerolina
    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.