In this article, we study the class of increasing and convex along rays (ICAR) functions over a cone. Apart from studying its basic properties, we study them from the point of view of Abstract Convexity. Further, we study the relation between the ICAR and Lipschitz functions and the properties under which an ICAR function has a Lipschitz behaviour. We also study the class of decreasing and convex along rays functions (DCAR).C
Convex analysis is a branch of mathematics that studies convex sets, convex functions, and convex ex...
The class of increasing along rays functions is generalized to consider vector valued functions. A ...
In this paper, we study convex analysis and its theoretical applications. We first apply important t...
This paper studies the class of increasing and co-radiant (ICR) functions over a cone equipped with ...
In this article, we study increasing and positively homogeneous functions defined on convex cones of...
In this paper, we study the stability of the lower level set {x E R++n | f (x) ≤ 0} of a finite valu...
In this article we examine various kinds of convergence of sequences of increasing positively homoge...
AbstractDuality relationships in finding a best approximation from a nonconvex cone in a normed line...
Summary (translated from the Russian): "We consider a linear continuous operator A acting from one B...
AbstractWe investigate the monotonicity of various averages of the values of a convex (or concave) f...
convex polyhedral cone, alternating least squares algorithm, optimal scaling, monotone analysis of v...
Canonical analysis of two convex polyhedral cones consists in looking for two vectors (one in each c...
In optimization theory the tangent cone and the contingent cone are used to classify the regularity ...
Monotonicity with respect to all arguments is fundamental to the definition of aggregation functions...
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...
The class of increasing along rays functions is generalized to consider vector valued functions. A ...
In this paper, we study convex analysis and its theoretical applications. We first apply important t...
This paper studies the class of increasing and co-radiant (ICR) functions over a cone equipped with ...
In this article, we study increasing and positively homogeneous functions defined on convex cones of...
In this paper, we study the stability of the lower level set {x E R++n | f (x) ≤ 0} of a finite valu...
In this article we examine various kinds of convergence of sequences of increasing positively homoge...
AbstractDuality relationships in finding a best approximation from a nonconvex cone in a normed line...
Summary (translated from the Russian): "We consider a linear continuous operator A acting from one B...
AbstractWe investigate the monotonicity of various averages of the values of a convex (or concave) f...
convex polyhedral cone, alternating least squares algorithm, optimal scaling, monotone analysis of v...
Canonical analysis of two convex polyhedral cones consists in looking for two vectors (one in each c...
In optimization theory the tangent cone and the contingent cone are used to classify the regularity ...
Monotonicity with respect to all arguments is fundamental to the definition of aggregation functions...
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...
The class of increasing along rays functions is generalized to consider vector valued functions. A ...
In this paper, we study convex analysis and its theoretical applications. We first apply important t...