论文标题

$(ϕ,f)的新固定点定理 - 矩形b-inetric空间上的$收缩

New fixed point theorems for $(ϕ, F)-$contraction on rectangular b-metric spaces

论文作者

Rossafi, Mohamed, Kari, Abdelkarim

论文摘要

Banach收缩原则是最著名的固定点定理,它已在各个方向上被概括。 在本文中,受沃德夫斯基(Wardowski)介绍的$(ϕ,f)的概念的启发。 我们提出$(ϕ,f)的概念 - $ b- $矩形度量空间中的$收缩,以研究该空间中映射的固定点的存在和唯一性。我们的结果改善了许多现有结果。

The Banach contraction principle is the most celebrated fixed point theorem, it has been generalized in various directions. In this paper, inspired by the concept of $(ϕ, F)-$contraction in metric spaces, introduced by Wardowski. We present the notion of $(ϕ, F)-$contraction in $b-$rectangular metric spaces to study the existence and uniqueness of fixed point for the mappings in this spaces. Our results improve many existing results.

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