Edge Theoretic Extended Contractions and Their Applications

R. Rajagopalan; Ekta Tamrakar; Fahad S. Alshammari; H. K. Pathak; Reny George

doi:10.1155/2021/5157708

Edge Theoretic Extended Contractions and Their Applications

R. Rajagopalan
, Ekta Tamrakar
, Fahad S. Alshammari
, H. K. Pathak
, Reny George

Mathematics

Pt. Ravishankar Shukla University

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

1 Scopus citations

Abstract

Edge theoretic extended contractions are introduced and coincidence point theorems and common fixed-point theorems are proved for such contraction mappings in a metric space endowed with a graph. As further applications, we have proved the existence of a solution of a nonlinear integral equation of Volterra type and given a suitable example in support of our result.

Original language	English
Article number	5157708
Journal	Journal of Function Spaces
Volume	2021
DOIs	https://doi.org/10.1155/2021/5157708
State	Published - 2021

Access to Document

10.1155/2021/5157708

Cite this

@article{e30be3b0607e41b8a0a58942c7e7957d,

title = "Edge Theoretic Extended Contractions and Their Applications",

abstract = "Edge theoretic extended contractions are introduced and coincidence point theorems and common fixed-point theorems are proved for such contraction mappings in a metric space endowed with a graph. As further applications, we have proved the existence of a solution of a nonlinear integral equation of Volterra type and given a suitable example in support of our result.",

author = "R. Rajagopalan and Ekta Tamrakar and Alshammari, \{Fahad S.\} and Pathak, \{H. K.\} and Reny George",

note = "Publisher Copyright: {\textcopyright} 2021 R. Rajagopalan et al.",

year = "2021",

doi = "10.1155/2021/5157708",

language = "English",

volume = "2021",

journal = "Journal of Function Spaces",

issn = "2314-8896",

publisher = "John Wiley and Sons Ltd",

}

TY - JOUR

T1 - Edge Theoretic Extended Contractions and Their Applications

AU - Rajagopalan, R.

AU - Tamrakar, Ekta

AU - Alshammari, Fahad S.

AU - Pathak, H. K.

AU - George, Reny

PY - 2021

Y1 - 2021

N2 - Edge theoretic extended contractions are introduced and coincidence point theorems and common fixed-point theorems are proved for such contraction mappings in a metric space endowed with a graph. As further applications, we have proved the existence of a solution of a nonlinear integral equation of Volterra type and given a suitable example in support of our result.

AB - Edge theoretic extended contractions are introduced and coincidence point theorems and common fixed-point theorems are proved for such contraction mappings in a metric space endowed with a graph. As further applications, we have proved the existence of a solution of a nonlinear integral equation of Volterra type and given a suitable example in support of our result.

UR - https://www.scopus.com/pages/publications/85120042556

U2 - 10.1155/2021/5157708

DO - 10.1155/2021/5157708

M3 - Article

AN - SCOPUS:85120042556

SN - 2314-8896

VL - 2021

JO - Journal of Function Spaces

JF - Journal of Function Spaces

M1 - 5157708

ER -

Edge Theoretic Extended Contractions and Their Applications

Abstract

Access to Document

Other files and links

Fingerprint

Cite this