Hegedüs Szilàgyi Fixed Point Theorem by Hardy Rogers and Interpolative approach

Anuradha Gupta, Rahul Mansotra

Published: 2025/9/19

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.