Certain Applications of Fixed Point Results in the Setting of Tricomplex Partial Metric Space

Rajagopalan Ramaswamy and Gunaseelan Mani

Journal of Applied Mathematics, 2025, vol. 2025, 1-16

Abstract: In this paper, we introduce the notion of tricomplex partial metric space as an extension/generalization of the partial metric spaces and prove some common fixed point theorems. Our results extend and generalize some well-known results. We have also presented nontrivial examples to the derived results. We also explore the applicability of the results to establish the existence of a unique common solution to the system of nonlinear Fredholm integral equations and fractional differential equations.

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jam/2025/2299796.pdf (application/pdf)
http://downloads.hindawi.com/journals/jam/2025/2299796.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:2299796

DOI: 10.1155/jama/2299796

Access Statistics for this article

More articles in Journal of Applied Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().