The purpose of this paper is to present a potential generalizations of celebrated theorems due to Kannan, Reich, Bianchini and Chatterjee in the set-up of an A-metric space. We unify these well-known fixed point theorems in A-metric space and give the simple proof of the result presented herein. For this purpose, we use concept of asymptotic regularity. Also, we give most general form of Kannan, Reich, Bianchini and Chatterjee Fixed Point Theorems in A-metric spaces, and prove these fixed point theorems using asymptotically regular sequences and maps rather than Picard iteration, respectively. Furthermore, we give some examples in support of our results.

本文的目的是在A度量空间的设置中展示 Kannan、Reich、Bianchini 和 Chatterjee 著名定理的潜在推广。我们将这些众所周知的不动点定理统一在A度量空间中，并给出本文给出的结果的简单证明。为此，我们使用渐近规律性的概念。此外，我们给出了A度量空间中 Kannan、Reich、Bianchini 和 Chatterjee 不动点定理的最一般形式，并分别使用渐近正则序列和映射而不是 Picard 迭代来证明这些不动点定理。此外，我们给出了一些例子来支持我们的结果。