Edge Theoretic Extended Contractions and Their Applications-Reference-Cited by-同舟云学术

Edge Theoretic Extended Contractions and Their Applications

Published:2021-11-09 Issue: Volume:2021 Page:1-11
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Rajagopalan R.¹^ORCID,Tamrakar Ekta²,Alshammari Fahad. S.¹^ORCID,Pathak H. K.²,George Reny¹³^ORCID

Affiliation:

1. Department of Mathematics, College of Science and Humanities at Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

2. School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur 492010, India

3. PG Department of Mathematics and Computer Science, St. Thomas College, Bhilai, Chhattisgarh State, India

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.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/5157708.pdf

Reference26 articles.

1. On nonlinear contractions

2. A Generalization of Banach's Contraction Principle

3. Order-theoretic common fixed point results for F-contractions;R. Gubran;Bulletin of Mathematical Analysis and Applications,2018

4. Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations

5. Some fixed point theorems concerning F-contraction in complete metric spaces

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