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

Sayed mohamad sadegh Modarres mosadegh, Marzieh Sharifi

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.

Keywords


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

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