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

We utilize Hardy-Rogers contraction and CJM−contraction in a C*−algebra valued partial metric space to create an environment to establish a fixed point.
Next, we present examples to elaborate on the novel space and validate our result. We conclude the paper by solving a boundary value problem and a matrix equation as applications of our main results which demonstrate the significance of our contraction and motivation for such investigations.
</abstract>

We utilize Hardy-Rogers contraction and CJM−contraction in a C*−algebra valued partial metric space to create an environment to establish a fixed point.
Next, we present examples to elaborate on the novel space and validate our result. We conclude the paper by solving a boundary value problem and a matrix equation as applications of our main results which demonstrate the significance of our contraction and motivation for such investigations.

On existence of fixed points and applications to a boundary value problem and a matrix equation in C*−algebra valued partial metric spaces

Pt. L. M. S. Campus, Sridev Suman Uttarakhand University

S. S. J. Campus, Soban Singh Jeena Uttarakhand University

Acta Universitatis Sapientiae, Mathematica

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

On existence of fixed points and applications to a boundary value problem and a matrix equation in C−algebra valued partial metric spaces

We utilize Hardy-Rogers contraction and CJM−contraction in a C*−algebra valued partial metric space to create an environment to establish a fixed point.
Next,...

On existence of fixed points and applications to a boundary value problem and a matrix equation in C^*−algebra valued partial metric spaces

Published Online: Jan 19, 2023

Page range: 341 - 355

Received: Nov 05, 2020

DOI: https://doi.org/10.2478/ausm-2022-0023

Keywords
continuity, completeness, Hardy-Rogers contraction, CJM−contraction

© 2022 Anita Tomar et al., published by Sciendo

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

On existence of fixed points and applications to a boundary value problem and a matrix equation in C*−algebra valued partial metric spaces

Published Online: Jan 19, 2023

Page range: 341 - 355

Received: Nov 05, 2020

DOI: https://doi.org/10.2478/ausm-2022-0023

Keywordscontinuity, completeness, Hardy-Rogers contraction, CJM−contraction

© 2022 Anita Tomar et al., published by Sciendo

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

On existence of fixed points and applications to a boundary value problem and a matrix equation in C^*−algebra valued partial metric spaces

Keywords
continuity, completeness, Hardy-Rogers contraction, CJM−contraction