The aim of this paper is to introduce some generalized contractions and prove certain new fixed point results for self-mappings satisfying these contractions in the setting of -metric space. As an application of our results, we investigate the problem of dynamic programming related to the multistage process which formulates the problems of computer programming and mathematical optimization. We also provide an example to support the validity of our main results.

中文翻译：

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一些广义不动点结果及其在动态规划中的应用

本文的目的是介绍一些通用的收缩，并证明了满足在设置这些收缩自映射的某些新的固定点的结果-度量空间。作为我们结果的应用，我们研究了与多阶段过程相关的动态编程问题，该过程提出了计算机编程和数学优化问题。我们还提供了一个例子来支持我们主要结果的有效性。