Browsing by Author "Gnanaprakasam, Arul Joseph"

Now showing 1 - 8 of 8

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.
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.
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.
Fixed point results in C*-algebra-valued bipolar metric spaces with an application
(2023) Mani, Gunaseelan; Gnanaprakasam, Arul Joseph; Işık, Hüseyin; Jarad, Fahd
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.
Citation - WoS: 6
Citation - Scopus: 9
Solving an Integral Equation by Using Fixed Point Approach in Fuzzy Bipolar Metric Spaces
(Wiley, 2021) Gnanaprakasam, Arul Joseph; Haq, Absar Ul; Jarad, Fahd; Baloch, Imran Abbas; Mani, Gunaseelan
The purpose of this manuscript is to obtain some fixed point results under mild contractive conditions in fuzzy bipolar metric spaces. Our results generalize and extend many of the previous findings in the same approach. Moreover, two examples to support our theorems are obtained. Finally, to examine and strengthen the theoretical results, the existence and uniqueness of the solution to a nonlinear integral equation was studied as a kind of applications.
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.
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
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.
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.