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

<p>We determine the common fixed point of two maps satisfying Hardy-Roger type contraction in a complete partial b-metric space without exploiting any variant of continuity or commutativity, which is indispensable in analogous results. Towards the end, we give examples and an application to solve a Cantilever beam problem employed in the distortion of an elastic beam in equilibrium to substantiate the utility of these improvements.</p>
</abstract>

We determine the common fixed point of two maps satisfying Hardy-Roger type contraction in a complete partial b-metric space without exploiting any variant of continuity or commutativity, which is indispensable in analogous results. Towards the end, we give examples and an application to solve a Cantilever beam problem employed in the distortion of an elastic beam in equilibrium to substantiate the utility of these improvements.

Fixed point and a Cantilever beam problem in a partial b-metric space

Acta Universitatis Sapientiae, Mathematica

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

{"article-title":"Fixed point and a Cantilever beam problem in a partial b-metric space"}

We determine the common fixed point of two maps satisfying Hardy-Roger type contraction in a complete partial b-metric space without exploiting any variant of...

Fixed point and a Cantilever beam problem in a partial b-metric space

Published Online: Dec 30, 2021

Page range: 506 - 518

DOI: https://doi.org/10.2478/ausm-2021-0032

Keywords
fixed point, commutativity, continuity, partial-b-metric spaces

© 2021 Anita Tomar et al., published by Sciendo

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

Fixed point and a Cantilever beam problem in a partial b-metric space

Published Online: Dec 30, 2021

Page range: 506 - 518

DOI: https://doi.org/10.2478/ausm-2021-0032

Keywordsfixed point, commutativity, continuity, partial-b-metric spaces

© 2021 Anita Tomar et al., published by Sciendo

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

Keywords
fixed point, commutativity, continuity, partial-b-metric spaces