Add to ORKGSummary (translated from the Russian): "We consider a linear continuous operator A acting from one Banach space into another whose range is not assumed to be closed. We describe the range of the conjugate operator A^{ast}. We also describe the cone conjugate to the cone K, which consists of those x for which Ax belongs to a given closed convex cone C.
Convex mappings from a locally convex space X into F<sup>.</sup> = F ∪ {+∞} are considered, where F ...
Publisher's description: "This textbook is devoted to a compressed and self-contained exposition of ...
6.253 develops the core analytical issues of continuous optimization, duality, and saddle point theo...
textabstractWe consider the classical duality operators for convex objects such as the polar of a co...
In this paper, we study convex analysis and its theoretical applications. We first apply important t...
In this paper, we study convex analysis and its theoretical applications. We first apply important t...
Convex analysis is a branch of mathematics that studies convex sets, convex functions, and convex ex...
S for arbitrary set, K for convex cone, I g(·) is for arbitrary functions, not necessarily convex, I...
AbstractWe give simpler proofs of some known conjugation formulas and subdifferential formulas of co...
AbstractThe asymptotic duality theory of linear programming over closed convex cones [4] is extended...
The paper is devoted to the investigation of directional derivatives and the cone of decrease direct...
International audienceThis book presents a largely self-contained account of the main results of con...
In this article, we study the class of increasing and convex along rays (ICAR) functions over a cone...
In this paper we study the concept of algebraic core for convex sets in general vector spaces withou...
AbstractConvex mappings from a locally convex space X into F. = F ∪ {+∞} are considered, where F is ...
Convex mappings from a locally convex space X into F<sup>.</sup> = F ∪ {+∞} are considered, where F ...
Publisher's description: "This textbook is devoted to a compressed and self-contained exposition of ...
6.253 develops the core analytical issues of continuous optimization, duality, and saddle point theo...
textabstractWe consider the classical duality operators for convex objects such as the polar of a co...
In this paper, we study convex analysis and its theoretical applications. We first apply important t...
In this paper, we study convex analysis and its theoretical applications. We first apply important t...
Convex analysis is a branch of mathematics that studies convex sets, convex functions, and convex ex...
S for arbitrary set, K for convex cone, I g(·) is for arbitrary functions, not necessarily convex, I...
AbstractWe give simpler proofs of some known conjugation formulas and subdifferential formulas of co...
AbstractThe asymptotic duality theory of linear programming over closed convex cones [4] is extended...
The paper is devoted to the investigation of directional derivatives and the cone of decrease direct...
International audienceThis book presents a largely self-contained account of the main results of con...
In this article, we study the class of increasing and convex along rays (ICAR) functions over a cone...
In this paper we study the concept of algebraic core for convex sets in general vector spaces withou...
AbstractConvex mappings from a locally convex space X into F. = F ∪ {+∞} are considered, where F is ...
Convex mappings from a locally convex space X into F<sup>.</sup> = F ∪ {+∞} are considered, where F ...
Publisher's description: "This textbook is devoted to a compressed and self-contained exposition of ...
6.253 develops the core analytical issues of continuous optimization, duality, and saddle point theo...