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arXiv · 2509.15624

Hegedüs Szilàgyi Fixed Point Theorem by Hardy Rogers and Interpolative approach

Abstract

In this article, three new types (I), (II), (III) of Hegedüs Szilàgyi 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.

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BibTeXRIS

Anuradha Gupta, Rahul Mansotra. 2025-09-19. Hegedüs Szilàgyi Fixed Point Theorem by Hardy Rogers and Interpolative approach. https://arxiv.org/abs/2509.15624

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