학술논문
Non-Euclidean convex programming.
Document Type
Journal
Author
Şandru, Ovidiu Ilie (R-PUB-M1) AMS Author Profile; Ionescu, Bucur B. (R-BUCHFP) AMS Author Profile; Şandru, Ion AMS Author Profile
Source
Subject
90 Operations research, mathematical programming -- 90C Mathematical programming
90C25Convex programming
90C25
Language
English
Abstract
In this paper the authors introduce concepts of non-Euclidean convexity and non-Euclidean convex programming on an $n$-dimensional complete differentiable Riemannian manifold with $(n-1)$ subsets which satisfy the axioms of incidence. They also give some sufficient conditions in order that a point will be a solution of a convex program by using the convex functions and conditions of Kuhn-Tucker type.