Some Fixed-Point Results of A-Admissible Mappings in Partial Cone Metric Spaces over Banach Algebra

Jerolina Fernandez

2023

Abstract

The article presents α-admissible mappings in Partial Cone Metric Spaces (PCMS) over Banach Algebra (BA), exploring fixed-point results in this context. It builds upon the foundational work of Liu and Xu [2013], which introduced CMS over BA, marking a significant step in fixed-point theory. Fernandez et al. [2016] extended this to PCMS over BA, examining fixed-point results for generalized Lipschitz mappings. This study defines and explores α-admissible mappings in the newly established space, offering results that extend previous findings. The main theorem establishes conditions for the existence of fixed-points for α-admissible, generalized Lipschitz self-maps in θ-complete PCMS over BA, contributing to this evolving area of mathematics.

Paper Citation

in Harvard Style

Fernandez J. (2023). Some Fixed-Point Results of A-Admissible Mappings in Partial Cone Metric Spaces over Banach Algebra. In Proceedings of the 1st International Conference on Artificial Intelligence for Internet of Things: Accelerating Innovation in Industry and Consumer Electronics - Volume 1: AI4IoT; ISBN 978-989-758-661-3, SciTePress, pages 192-194. DOI: 10.5220/0012610300003739

in Bibtex Style

@conference{ai4iot23,
author={Jerolina Fernandez},
title={Some Fixed-Point Results of A-Admissible Mappings in Partial Cone Metric Spaces over Banach Algebra},
booktitle={Proceedings of the 1st International Conference on Artificial Intelligence for Internet of Things: Accelerating Innovation in Industry and Consumer Electronics - Volume 1: AI4IoT},
year={2023},
pages={192-194},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0012610300003739},
isbn={978-989-758-661-3},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 1st International Conference on Artificial Intelligence for Internet of Things: Accelerating Innovation in Industry and Consumer Electronics - Volume 1: AI4IoT
TI - Some Fixed-Point Results of A-Admissible Mappings in Partial Cone Metric Spaces over Banach Algebra
SN - 978-989-758-661-3
AU - Fernandez J.
PY - 2023
SP - 192
EP - 194
DO - 10.5220/0012610300003739
PB - SciTePress