In this note, we establish a property of the higher-order generalized Studniarski epiderivative. By virtue of the property, we demonstrate that condit......
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In this paper we first study the asymptotic oscillations of a connected component of the positive solution set of some non-positone operator equations......
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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......
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In this paper, we define the L-p-mixed affine surface area probability measure and obtain the log-Minkowski inequalities for nonsymmetric convex bodie......
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This paper is about the well-posedness and stability in set optimization with applications to vector-valued games involving uncertainty. Some characte......
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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......
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The necessary and sufficient conditions for both the Kadec-Klee property as well as the Kadec-Klee property with respect to the coordinatewise converg......
In this paper, we study the close relationship between multivariate coherent and convex risk measures. Namely, starting from a multivariate convex ris......
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......
In this paper, we study sigma-subdifferentials of sigma-convex functions. Two equivalent conditions for sigma-convexity are given. The formula for the......
We characterize Banach lattices for which each Dunford-Pettis operator (or weak Dunford-Pettis) is unbounded absolute weak Dunford-Pettis and converse......
The notion of the mixed brightness was first introduced by Lutwak. Recently, Abardia and Bernig presented complex projection bodies. Based on this not......
In the present paper, we are concerned with a class of constrained vector optimization problems, where the objective functions and active constraint f......
This paper deals with the Holder metric subregularity property of a certain constraint system in Asplund space. Using the techniques of variational an......
This note is intended as an attempt at presenting some topological properties in cone metric spaces over Banach algebras. Moreover, the corresponding ......