The aim of this paper is to study, in a systematic way, relationships and first-order characterizations among several classes of vector-valued functions which are possible extensions of scalar concave, quasiconcave and pseudoconcave functions. These classes are defined by using three order relations generated by a cone C or the interior of C, or the cone C without the origin
Abstract. The aim of this paper is to characterize in terms of classical (quasi)convexity of extende...
Abstract. The aim of this paper is to characterize in terms of scalar quasiconvexity the vector-valu...
This note concerns explicitly quasiconvex set-valued maps, defined on a nonempty convex subset of a ...
In this paper five new classes of generalized-concave functions are introduced and studied. In parti...
A traditional assumption in the definition of a generalized concave function f : X → Y is that both ...
In this paper we continue the study of polar generalized convexity of vector valued functions initia...
The connection between continuity, lower semicontinuity, upper semicontinuity, local boundedness and...
The class of increasing along rays functions is generalized to consider vector valued functions. A ...
It is well-known that a real valued function is convex if and only if its epigraph is a convex set; ...
We introduce order-theoretic generalized concavity. This is the study of those properties of general...
New classes of generalized (F, ρ)-convexity are introduced for vector-valued functions. Examples are...
We introduce a class of discrete convolution concave functions and show that these new functions sha...
A new notion of the ic-cone convexlike set-valued map characterized by the algebraic interior and th...
The aim of this paper is to characterize in terms of scalar quasiconvexity the vector-valued functio...
The principal aim of this paper is to show that weakly cone-convex vector-valued functions, as well ...
Abstract. The aim of this paper is to characterize in terms of classical (quasi)convexity of extende...
Abstract. The aim of this paper is to characterize in terms of scalar quasiconvexity the vector-valu...
This note concerns explicitly quasiconvex set-valued maps, defined on a nonempty convex subset of a ...
In this paper five new classes of generalized-concave functions are introduced and studied. In parti...
A traditional assumption in the definition of a generalized concave function f : X → Y is that both ...
In this paper we continue the study of polar generalized convexity of vector valued functions initia...
The connection between continuity, lower semicontinuity, upper semicontinuity, local boundedness and...
The class of increasing along rays functions is generalized to consider vector valued functions. A ...
It is well-known that a real valued function is convex if and only if its epigraph is a convex set; ...
We introduce order-theoretic generalized concavity. This is the study of those properties of general...
New classes of generalized (F, ρ)-convexity are introduced for vector-valued functions. Examples are...
We introduce a class of discrete convolution concave functions and show that these new functions sha...
A new notion of the ic-cone convexlike set-valued map characterized by the algebraic interior and th...
The aim of this paper is to characterize in terms of scalar quasiconvexity the vector-valued functio...
The principal aim of this paper is to show that weakly cone-convex vector-valued functions, as well ...
Abstract. The aim of this paper is to characterize in terms of classical (quasi)convexity of extende...
Abstract. The aim of this paper is to characterize in terms of scalar quasiconvexity the vector-valu...
This note concerns explicitly quasiconvex set-valued maps, defined on a nonempty convex subset of a ...
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