论文标题
间隔值及其性能的广义hukuhara-clarke导数
Generalized Hukuhara-Clarke Derivative of Interval-valued Functions and its Properties
论文作者
论文摘要
在本文中，提出了用于间隔值函数的GH-Clarke衍生物的概念。为了定义GH-CLARKE衍生物的概念，在续集中研究了极限上级，极限下和肌间隔功能的概念。 GH-LIPSCHITZ间隔值函数（IVF）的上GH-CLARKE衍生物被认为是sublinear IVF。发现每个GH-lipschitz连续函数都是上gh-clarke的上限。对于凸和lipschitz IVF，表明上GH-Clarke衍生物与GH方向衍生物一致。整个研究得到了适当的说明性例子的支持。
In this article, the notion of gH-Clarke derivative for interval-valued functions is proposed. To define the concept of gH-Clarke derivatives, the concepts of limit superior, limit inferior, and sublinear interval-valued functions are studied in the sequel. The upper gH-Clarke derivative of a gH-Lipschitz interval-valued function (IVF) is observed to be a sublinear IVF. It is found that every gH-Lipschitz continuous function is upper gH-Clarke differentiable. For a convex and gH-Lipschitz IVF, it is shown that the upper gH-Clarke derivative coincides with the gH-directional derivative. The entire study is supported by suitable illustrative examples.
