In this paper, we prove the existence and uniqueness of fixed points for -contractions in complete Branciari -metric spaces. Furthermore, an example for supporting the related result is shown. We also present the concept of the weak well-posedness of the fixed-point problem of the mapping and discuss the weak well-posedness of the fixed-point problem of an -contraction in complete Branciari -metric spaces. Besides, we investigate the problem of common fixed points for -contractions in above spaces. As an application, we apply our main results to solving the existence and uniqueness of solutions for a class of the integral equation and the dynamic programming problem, respectively.

中文翻译：

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完全Branciari中的-收缩的几个不动点定理-度量空间和应用

在本文中，我们证明了存在固定点的独特性-完全Branciari收缩-度量空间。此外，示出了用于支持相关结果的示例。我们还提出了映射的定点问题的弱适定性的概念，并讨论了的定点问题的弱适定性-收缩完整Branciari -度量空间。此外，我们研究了公共固定点的问题-在上述空间收缩。作为一种应用，我们将我们的主要结果分别用于解决一类积分方程和动态规划问题的解的存在性和唯一性。