The theory of increasing and convex along rays (ICAR) functions, defined on a convex cone in a locally convex topological vector space X, is well developed. In this article, we present a suitable extension of this theory for ICAR functions, defined on the whole of the space X. We also study the class of decreasing and convex along rays functions (DCAR).
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机译：在局部凸拓扑矢量空间 X 的凸锥上定义的沿射线递增和凸 （ICAR） 函数的理论得到了很好的发展。在本文中，我们提出了该理论对ICAR函数的适当扩展，该函数定义在整个空间X上。我们还研究了沿射线函数（DCAR）的递减和凸的类别。
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