Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Author: search.filters.author.Gnanaprakasam, Arul JosephCOAR Access Rights: search.filters.coarAccessRights.open access

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Now showing 1 - 6 of 6
  • Article
    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.
  • Article
    Citation - WoS: 3
    Citation - Scopus: 2
    Solving a Fredholm Integral Equation Via Coupled Fixed Point on Bicomplex Partial Metric Space
    (Amer inst Mathematical Sciences-aims, 2022) Gnanaprakasam, Arul Joseph; Javed, Khalil; Arshad, Muhammad; Jarad, Fahd; Mani, Gunaseelan
    In this paper, we obtain some coupled fixed point theorems on a bicomplex partial metric space. An example and an application to support our result are presented.
  • Article
    Citation - WoS: 8
    Citation - Scopus: 8
    Coupled Fixed Point Theorems on C*-Algebra Valued Bipolar Metric Spaces
    (Amer inst Mathematical Sciences-aims, 2022) Gnanaprakasam, Arul Joseph; Ul Haq, Absar; Baloch, Imran Abbas; Jarad, Fahd; Mani, Gunaseelan; Haq, Absar Ul
    In the present paper, we introduce the notion of a C*-algebra valued bipolar metric space and prove coupled fixed point theorems. Some of the well-known outcomes in the literature are generalized and expanded by the results shown. An example and application to support our result is presented.
  • Article
    Citation - WoS: 2
    Citation - Scopus: 6
    Common Fixed Point Theorems on Tricomplex Valued Metric Space
    (Hindawi Ltd, 2022) Haq, Absar Ul; Gnanaprakasam, Arul Joseph; Baloch, Imran Abbas; Jarad, Fahd; Mani, Gunaseelan
    In this paper, we introduce the notion of tricomplex valued metric space and prove some common fixed point theorems. The presented results generalize and expand some of the literature well-known results. We also explore some applications of our key results.
  • Article
    Citation - Scopus: 1
    Solving an Integral Equation Vian Orthogonal Neutrosophic Rectangular Metric Space
    (Amer inst Mathematical Sciences-aims, 2023) Gnanaprakasam, Arul Joseph; Varadharajan, Vidhya; Jarad, Fahd; Mani, Gunaseelan
    In this paper, we introduce the notion of an orthogonal neutrosophic rectangular metric space and prove fixed point theorems. We extend some of the well-known results in the literature. As applications of the main results, we apply our main results to show the existence of a unique solution.
  • Article
    Citation - WoS: 4
    Citation - Scopus: 4
    Solving an Integral Equation Via Orthogonal Generalized Α-Ψ Contractions
    (Amer inst Mathematical Sciences-aims, 2023) Gnanaprakasam, Arul Joseph; Mani, Gunaseelan; Jarad, Fahd; Prakasam, Senthil Kumar
    In this paper, we introduce orthogonal generalized O-alpha-psi-Geraghty contractive type mappings and prove some fixed point theorems in O-complete O -b-metric spaces. We also provide an illustrative example to support our theorem. The results proved here will be utilized to show the existence of a solution to an integral equation as an application.