<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The aim is to introduce some relation theoretic variants of F−contraction in an F−metric space endowed with a binary relation <italic>R</italic> and to prove results for its fixed point. In the sequel, several classes of contractions are sharpened, generalized, and improved. Numerical examples are presented to illustrate the theoretical conclusions. As applications of the main results, we solve a Dirichlet-Neumann initial value problem and two Dirichlet boundary value problems.</p>
</abstract>

The aim is to introduce some relation theoretic variants of F−contraction in an F−metric space endowed with a binary relation R and to prove results for its fixed point. In the sequel, several classes of contractions are sharpened, generalized, and improved. Numerical examples are presented to illustrate the theoretical conclusions. As applications of the main results, we solve a Dirichlet-Neumann initial value problem and two Dirichlet boundary value problems.

On relation-theoretic F−contractions and applications in F−metric spaces

Pt. L. M. S. Campus, Sri Dev Suman Uttarakhand University

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"On relation-theoretic F−contractions and applications in F−metric spaces"}

The aim is to introduce some relation theoretic variants of F−contraction in an F−metric space endowed with a binary relation R and to prove results for its...

On relation-theoretic F−contractions and applications in F−metric spaces

Published Online: Dec 26, 2023

Page range: 314 - 336

Received: Dec 27, 2020

DOI: https://doi.org/10.2478/ausm-2023-0018

Keywords
binary relation, F−metric space, −completeness, relation-theoretic contraction

© 2023 Anita Tomar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

On relation-theoretic F−contractions and applications in F−metric spaces

Published Online: Dec 26, 2023

Page range: 314 - 336

Received: Dec 27, 2020

DOI: https://doi.org/10.2478/ausm-2023-0018

Keywordsbinary relation, F−metric space, −completeness, relation-theoretic contraction

© 2023 Anita Tomar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
binary relation, F−metric space, −completeness, relation-theoretic contraction