THE EXISTENCE OF A SOLUTION OF A NONLINEAR FREDHOLM INTEGRAL EQUATIONS OVER BICOMPLEX b-METRIC SPACES

Gunaseelan Mani; Arul Joseph Gnanaprakasam; Reny George; Zoran D. Mitrović

doi:10.56947/gjom.v14i1.984

THE EXISTENCE OF A SOLUTION OF A NONLINEAR FREDHOLM INTEGRAL EQUATIONS OVER BICOMPLEX b-METRIC SPACES

Gunaseelan Mani, Arul Joseph Gnanaprakasam, Reny George, Zoran D. Mitrović

Mathematics

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

2 Scopus citations

Abstract

In this manuscript, owing to the concept of bicomplex b-metric spaces, we prove common fixed point theorem in bicomplex b-metric spaces. In order to strengthen our main results, a suitable example is presented. More over, the results we obtained is supplement and improve on previous research findings. A fruitful application is also supplied to endorse our outcomes.

Original language	English
Pages (from-to)	69-83
Number of pages	15
Journal	Gulf Journal of Mathematics
Volume	14
Issue number	1
DOIs	https://doi.org/10.56947/gjom.v14i1.984
State	Published - 13 Jan 2023

Keywords

Bicomplex valued b-metric space
common fixed point
integral equation

Access to Document

10.56947/gjom.v14i1.984

Cite this

@article{72400fc0de7b4067a64d5ed4f171671d,

title = "THE EXISTENCE OF A SOLUTION OF A NONLINEAR FREDHOLM INTEGRAL EQUATIONS OVER BICOMPLEX b-METRIC SPACES",

abstract = "In this manuscript, owing to the concept of bicomplex b-metric spaces, we prove common fixed point theorem in bicomplex b-metric spaces. In order to strengthen our main results, a suitable example is presented. More over, the results we obtained is supplement and improve on previous research findings. A fruitful application is also supplied to endorse our outcomes.",

keywords = "Bicomplex valued b-metric space, common fixed point, integral equation",

author = "Gunaseelan Mani and Gnanaprakasam, \{Arul Joseph\} and Reny George and Mitrovi{\'c}, \{Zoran D.\}",

year = "2023",

month = jan,

day = "13",

doi = "10.56947/gjom.v14i1.984",

language = "English",

volume = "14",

pages = "69--83",

journal = "Gulf Journal of Mathematics",

issn = "2309-4966",

publisher = "Canadian University of Dubai",

number = "1",

}

TY - JOUR

T1 - THE EXISTENCE OF A SOLUTION OF A NONLINEAR FREDHOLM INTEGRAL EQUATIONS OVER BICOMPLEX b-METRIC SPACES

AU - Mani, Gunaseelan

AU - Gnanaprakasam, Arul Joseph

AU - George, Reny

AU - Mitrović, Zoran D.

PY - 2023/1/13

Y1 - 2023/1/13

N2 - In this manuscript, owing to the concept of bicomplex b-metric spaces, we prove common fixed point theorem in bicomplex b-metric spaces. In order to strengthen our main results, a suitable example is presented. More over, the results we obtained is supplement and improve on previous research findings. A fruitful application is also supplied to endorse our outcomes.

AB - In this manuscript, owing to the concept of bicomplex b-metric spaces, we prove common fixed point theorem in bicomplex b-metric spaces. In order to strengthen our main results, a suitable example is presented. More over, the results we obtained is supplement and improve on previous research findings. A fruitful application is also supplied to endorse our outcomes.

KW - Bicomplex valued b-metric space

KW - common fixed point

KW - integral equation

UR - http://www.scopus.com/inward/record.url?scp=85162259284&partnerID=8YFLogxK

U2 - 10.56947/gjom.v14i1.984

DO - 10.56947/gjom.v14i1.984

M3 - Article

AN - SCOPUS:85162259284

SN - 2309-4966

VL - 14

SP - 69

EP - 83

JO - Gulf Journal of Mathematics

JF - Gulf Journal of Mathematics

IS - 1

ER -

THE EXISTENCE OF A SOLUTION OF A NONLINEAR FREDHOLM INTEGRAL EQUATIONS OVER BICOMPLEX b-METRIC SPACES

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this