In this paper, the vector-valued regular functions are extended to the locally convex space. The residues theory of the functions in the locally convex space is achieved. Thereby the Cauchy theory and ...

Abstract: To address the issue that the ordering of sample indicators may affect the results of the grey relational analysis model (GRA) based on panel data, a novel GRA model based on vector-valued ...

The methods here apply to continuous functions that are finite compositions of simple "scientific calculator" operations, but may be nonsmooth. Operator overloading is used to automatically apply ...

ABSTRACT: This note studies the optimality conditions of vector optimization problems involving generalized convexity in locally convex spaces. Based upon the concept of Dini set-valued directional ...

Abstract: In this article, we study the generalization performance of multitask learning (MTL) by considering MTL as a learning process of vector-valued functions (VFs). We will answer two theoretical ...

This is a preview. Log in through your library . Abstract The algorithm of the successive derivatives introduced in [5] was implemented in [7], [8]. This algorithm is based on the existence of a ...

N. E. Gretsky and J. J. Uhl, Jr. Representations of bounded linear operators on Banach function spaces of vector-valued functions to Banach spaces are given in terms of operator-valued measures. Then ...

We consider an interval-valued multiobjective problem. Some necessary and sufficient optimality conditions for weak efficient solutions are established under new generalized convexities with the ...

This paper is devoted to the study of gH-Clarke derivative for interval-valued functions. To develop the properties of gH-Clarke derivative, the concepts of limit superior, limit inferior, and ...

2. Addition and multiplication of 3D Vectors. 3. Dot products of 3D Vectors (Scaler Output). 4. Cross products of 3D Vectors (Area & Torque Output). 5. Scaler Length Magnitude of vectors. 6.