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A note on "Higher-order generalized Studniarski epiderivative and its applications in set-valued optimization" [Positivity 22:1371-1385 (2018)]

期刊: POSITIVITY, 2021; 25 (4)

In this note, we establish a property of the higher-order generalized Studniarski epiderivative. By virtue of the property, we demonstrate that condit......

Asymptotic oscillations of global solution branches for nonlinear problems

期刊: POSITIVITY, ; ()

In this paper we first study the asymptotic oscillations of a connected component of the positive solution set of some non-positone operator equations......

Positive p-summing operators and disjoint p-summing operators

期刊: POSITIVITY, ; ()

In the present paper, we introduce a new concept of positive p-majorizing operators as a dual notion of positive p-summing operators and generalize th......

Some log-Minkowski inequalities for L-p-mixed affine surface area

期刊: POSITIVITY, ; ()

In this paper, we define the L-p-mixed affine surface area probability measure and obtain the log-Minkowski inequalities for nonsymmetric convex bodie......

Well-posedness and stability in set optimization with applications

期刊: POSITIVITY, ; ()

This paper is about the well-posedness and stability in set optimization with applications to vector-valued games involving uncertainty. Some characte......

Pelczynski's property V for spaces of compact operators

期刊: POSITIVITY, ; ()

Assume that X is a reflexive Banach space with an unconditional basis. In this paper, we show that the Banach space K(X) of compact operators on X has......

Kadec-Klee properties of Orlicz-Lorentz sequence spaces equipped with the Orlicz norm

期刊: POSITIVITY, ; ()

The necessary and sufficient conditions for both the Kadec-Klee property as well as the Kadec-Klee property with respect to the coordinatewise converg......

Multivariate coherent risk measures induced by multivariate convex risk measures

期刊: POSITIVITY, 2020; 24 (3)

In this paper, we study the close relationship between multivariate coherent and convex risk measures. Namely, starting from a multivariate convex ris......

Quantum observable generalized orthoalgebras

期刊: POSITIVITY, 2020; 24 (3)

Let S(H) denote the set of all self-adjoint operators (not necessarily bounded) on a Hilbert space H, which is the set of all physical quantities on a......

Sigma-subdifferential and its application to minimization problem

期刊: POSITIVITY, 2020; 24 (3)

In this paper, we study sigma-subdifferentials of sigma-convex functions. Two equivalent conditions for sigma-convexity are given. The formula for the......

Some results on unbounded absolute weak Dunford-Pettis operators

期刊: POSITIVITY, 2020; 24 (1)

We characterize Banach lattices for which each Dunford-Pettis operator (or weak Dunford-Pettis) is unbounded absolute weak Dunford-Pettis and converse......

Mixed complex brightness integrals

期刊: POSITIVITY, 2020; 24 (1)

The notion of the mixed brightness was first introduced by Lutwak. Recently, Abardia and Bernig presented complex projection bodies. Based on this not......

Locally Lipschitz vector optimization problems: second-order constraint qualifications, regularity condition and KKT necessary optimality conditions

期刊: POSITIVITY, 2020; 24 (2)

In the present paper, we are concerned with a class of constrained vector optimization problems, where the objective functions and active constraint f......

Holder metric subregularity for constraint systems in Asplund spaces

期刊: POSITIVITY, 2019; 23 (1)

This paper deals with the Holder metric subregularity property of a certain constraint system in Asplund space. Using the techniques of variational an......

JIF:0.83

Some topological properties and fixed point results in cone metric spaces over Banach algebras

期刊: POSITIVITY, 2019; 23 (1)

This note is intended as an attempt at presenting some topological properties in cone metric spaces over Banach algebras. Moreover, the corresponding ......

JIF:0.83

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