On the results of proving the equivalence of $\mathcal{T}$-contractive mappings
Subject Areas : Operator theory
S. S. Karimizad
1
(Department of Mathematics, Faculty of Basic Sciences, Ilam University, Ilam, Iran)
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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