Fixed point theorems on perturbed metric space with an application
Metric Geometry
2026-04-06 v1
Abstract
Following the definition of perturbed metric space, in this paper, some fixed point theorems are established for -perturbed mappings in complete perturbed metric spaces and justify the result by counter example. Finally, an application of this theorem for the existence of a solution for the second-order boundary value problem is given.
Cite
@article{arxiv.2604.02333,
title = {Fixed point theorems on perturbed metric space with an application},
author = {Dipti Barman and T. Bag},
journal= {arXiv preprint arXiv:2604.02333},
year = {2026}
}
Comments
13 pages, 4 figures