Scopus İndeksli Yayınlar Koleksiyonu

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

Browse

Filters

2022 - 20235

Settings

Author: search.filters.author.Gnanaprakasam, Arul JosephPublisher: search.filters.publisher.Amer inst Mathematical Sciences-aims

Search Results

Now showing 1 - 5 of 5
  • 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 - 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.