Heged\"{u}s Szil\`agyi Fixed Point Theorem by Hardy Rogers and Interpolative approach
Functional Analysis
2025-09-22 v1
Abstract
In this article, three new types (I), (II), (III) of Heged\"{u}s Szil\`agyi contraction on metric spaces by interpolative and Hardy-Rogers methods have been introduced. Moreover, we give the fixed point theorems in this setting, along with examples to justify the novelty of these contractions.
Keywords
Cite
@article{arxiv.2509.15624,
title = {Heged\"{u}s Szil\`agyi Fixed Point Theorem by Hardy Rogers and Interpolative approach},
author = {Anuradha Gupta and Rahul Mansotra},
journal= {arXiv preprint arXiv:2509.15624},
year = {2025}
}