Fixed point results via a new class of Ad-contractions
General Topology
2025-07-22 v1 Functional Analysis
Abstract
In this article, a new class of operators, termed Ad-contractions, is introduced to extend the framework of A-contractions to the setting of dislocated metric spaces. Fixed point results are established for single mappings, sequences of mappings, integral type contractions, and for mappings on a set with two dislocated metrics. The demonstrated theorems generalize foundational results on A-contractions and their integral-type variations to the more challenging setting of dislocated metric spaces. The work is supported by illustrative examples.
Keywords
Cite
@article{arxiv.2507.15635,
title = {Fixed point results via a new class of Ad-contractions},
author = {Prasun Panthi and Dinesh Panthi},
journal= {arXiv preprint arXiv:2507.15635},
year = {2025}
}
Comments
14 pages, 2 figures