On the results of proving the equivalence of $\mathcal{T}$-contractive mappings

Subject Areas : Operator theory

S. S. Karimizad ¹

1 - Department of Mathematics, Faculty of Basic Sciences, Ilam University, Ilam, Iran

Received: 2024-02-05 Accepted : 2024-03-06 Published : 2024-03-07

Keywords: $\mathcal{T}$-contraction, fixed point, $w$-distance, cone metric space, $\mathfrak{c}$-distance, partial order,

Abstract :

The main goal of this paper is to compare the proof of the existence and uniqueness of fixed points for $\mathcal{T}$-contractive mappings in various metric spaces and different distances regarding some techniques in mathematical analysis. Also, several comparisons to show the efficiency of the obtained result will be considered.‎

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