# 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.

Download#### 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