论文标题
投射代码和微积分规则
Projectional Coderivatives and Calculus Rules
论文作者
论文摘要
本文致力于研究新引入的工具，投影代码和相应的微积分规则。我们表明，当限制集具有一些不错的属性时，更具体地说是平滑的歧管时，可以将投影代码分化为固定点表达式。我们还将改善广义的mordukhovich标准，以在这种设置下对类似Lipschitz的相对特性进行完整的表征。获得链条规则和总规则，以促进该工具在更广泛的问题范围内应用。
This paper is devoted to the study of a newly introduced tool, projectional coderivatives and the corresponding calculus rules in finite dimensions. We show that when the restricted set has some nice properties, more specifically, is a smooth manifold, the projectional coderivative can be refined as a fixed-point expression. We will also improve the generalized Mordukhovich criterion to give a complete characterization of the relative Lipschitz-like property under such a setting. Chain rules and sum rules are obtained to facilitate the application of the tool to a wider range of problems.
