Novel Results in Cone Bipolar Metric Spaces With Application in Initial Value Fractional Caputo Differential Equations

Gunaseelan Mani; Balaji Ramalingam; Ola Ashour Abdelnaby; Khizar Hayat Khan; Zoran D. Mitrović; Rajagopalan Ramaswamy

doi:10.28924/2291-8639-23-2025-294

Novel Results in Cone Bipolar Metric Spaces With Application in Initial Value Fractional Caputo Differential Equations

Gunaseelan Mani
, Balaji Ramalingam
, Ola Ashour Abdelnaby
, Khizar Hayat Khan
, Zoran D. Mitrović
, Rajagopalan Ramaswamy

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we establish fixed point results in the setting of cone bipolar metric space. Some of the well-known results in the literature are extended and generalized by the demonstrated results. We give some examples based on our outcomes to strengthen our results. An application is presented based on integral equations and fractional differential equations that confirm our findings.

Original language	English
Article number	294
Journal	International Journal of Analysis and Applications
Volume	23
DOIs	https://doi.org/10.28924/2291-8639-23-2025-294
State	Published - 2025

Keywords

Cone bipolar metric space
Iterative methods
contravariant map
covariant map
fixed point
fractional Caputo differential equation
initial value problem

Access to Document

10.28924/2291-8639-23-2025-294

Cite this

@article{70c07a254b3a4ee29984b443c330e499,

title = "Novel Results in Cone Bipolar Metric Spaces With Application in Initial Value Fractional Caputo Differential Equations",

abstract = "In this paper, we establish fixed point results in the setting of cone bipolar metric space. Some of the well-known results in the literature are extended and generalized by the demonstrated results. We give some examples based on our outcomes to strengthen our results. An application is presented based on integral equations and fractional differential equations that confirm our findings.",

keywords = "Cone bipolar metric space, Iterative methods, contravariant map, covariant map, fixed point, fractional Caputo differential equation, initial value problem",

author = "Gunaseelan Mani and Balaji Ramalingam and Abdelnaby, \{Ola Ashour\} and Khan, \{Khizar Hayat\} and Mitrovi{\'c}, \{Zoran D.\} and Rajagopalan Ramaswamy",

note = "Publisher Copyright: {\textcopyright} 2025 the author(s).",

year = "2025",

doi = "10.28924/2291-8639-23-2025-294",

language = "English",

volume = "23",

journal = "International Journal of Analysis and Applications",

issn = "2291-8639",

publisher = "Semnan University, Center of Excellence in Nonlinear Analysis and Applications",

}

TY - JOUR

T1 - Novel Results in Cone Bipolar Metric Spaces With Application in Initial Value Fractional Caputo Differential Equations

AU - Mani, Gunaseelan

AU - Ramalingam, Balaji

AU - Abdelnaby, Ola Ashour

AU - Khan, Khizar Hayat

AU - Mitrović, Zoran D.

AU - Ramaswamy, Rajagopalan

PY - 2025

Y1 - 2025

N2 - In this paper, we establish fixed point results in the setting of cone bipolar metric space. Some of the well-known results in the literature are extended and generalized by the demonstrated results. We give some examples based on our outcomes to strengthen our results. An application is presented based on integral equations and fractional differential equations that confirm our findings.

AB - In this paper, we establish fixed point results in the setting of cone bipolar metric space. Some of the well-known results in the literature are extended and generalized by the demonstrated results. We give some examples based on our outcomes to strengthen our results. An application is presented based on integral equations and fractional differential equations that confirm our findings.

KW - Cone bipolar metric space

KW - Iterative methods

KW - contravariant map

KW - covariant map

KW - fixed point

KW - fractional Caputo differential equation

KW - initial value problem

UR - https://www.scopus.com/pages/publications/105023388180

U2 - 10.28924/2291-8639-23-2025-294

DO - 10.28924/2291-8639-23-2025-294

M3 - Article

AN - SCOPUS:105023388180

SN - 2291-8639

VL - 23

JO - International Journal of Analysis and Applications

JF - International Journal of Analysis and Applications

M1 - 294

ER -

Novel Results in Cone Bipolar Metric Spaces With Application in Initial Value Fractional Caputo Differential Equations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this