论文标题
Hadamard歧管上的间隔优化问题
Interval Optimization Problems on Hadamard manifolds
论文作者
论文摘要
在本文中，我们介绍了Hadamard歧管的间隔优化问题（IOPS），并研究它们之间的关系与间隔变化不等式。为了实现理论结果，我们建立了一些有关$ gh $ - 方向衍生品和$ gh $-Gâteaux的新概念 哈达玛歧管。获得的结果铺平了进一步研究Riemannian间隔优化问题（RIOPS）的方法。
In this article, we introduce the interval optimization problems (IOPs) on Hadamard manifolds as well as study the relationship between them and the interval variational inequalities. To achieve the theoretical results, we build up some new concepts about $gH$-directional derivative and $gH$-Gâteaux differentiability of interval valued functions and their properties on the Hadamard manifolds. The obtained results pave a way to further study on Riemannian interval optimization problems (RIOPs).
