3 papers
math.OC2025
Characterizations of Faces of Convex Sets in Infinite-dimensional Vector Spaces
Valentin V. Gorokhovik
In the paper three different characterizations of faces of convex sets, belonging to infinite-dimensional real vector spaces, are presented. The first one is formulated in the term…
math.OC2024
Infinite-dimensional Convex Cones: Internal Geometric Structure and Analytical Representation
Valentin V. Gorokhovik
In the paper we consider convex cones in infinite-dimensional real vector spaces which are endowed with no topology. The main purpose is to study an internal geometric structure of…
math.OC2024
Internal structure and analytical representation of preference relations defined on infinite-dimensional real vector spaces
V. V. Gorokhovik
The paper deals with partial and weak preference relations defined on infinite-dimensional vector spaces and compatible with algebraic operations. By a partial preference we mean a…