Generalized weak $\phi$-contractions in metric and normed interval spaces

Authors

  • Sayed mohamad sadegh Modarres mosadegh
  • Marzieh Sharifi

DOI:

https://doi.org/10.30495/jme.v18i0.3034

Keywords:

Contractive mappings, Metric interval spaces, Near-fixed points, Normed interval spaces, Null set, Triangle inequality

Abstract

In this article, we describe the definitions of generalized $\phi$-contraction mappings and generalized weak $\phi$-contraction mappings in metric and normed interval spaces. We also prove some theorems for the existence of the near-fixed points of these mappings in the interval spaces.Moreover, we investigate the uniqueness of the equivalence class in these theorems.Additionally, we provide examples to demonstrate the validity of our results.

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Published

2025-01-18

Issue

Vol. 18

Section

Vol. 18, No. 8, (2024)

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