Results 31 to 40 of about 1,032 (207)
Subdifferentials, faces, and dual matrices [PDF]
, 1993 A characterization of the dual matrices for the unitarily invariant norms is given. Moreover, the connection between the dual matrices, the subdifferentials of matrix norms, and the faces of the unit ball of matrices is ...
Ziȩtak, K.
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On Directionally Dependent Subdifferentials [PDF]
, 2010 In this paper directionally contextual concepts of variational analysis, based on dual-space constructions similar to those in [4, 5], are introduced and studied. As an illustration of their usefulness, necessary and also sufficient optimality conditions
Mordukhovich, Boris S, Ginchev, Ivan
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Min–sup-type zero duality gap properties for DC composite optimization problem
Journal of Inequalities and Applications, 2019 In this paper, we present min–sup-type zero duality gap properties for DC composite optimization problem with conic constraints. Using properties of the subdifferentials of involved functions, we introduce some new constraint qualifications.
Li Ping Tian, Dong Hui Fang
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Generalized Euler identity for subdifferentials of homogeneous functions and applications [PDF]
, 2008 In this paper, we mainly consider subdifferentials and basic subdifferentials of homogeneous functions defined on real Banach space and Asplund space respectively, and obtain the generalized Euler identity.
Wei, Zhou, Yang, Fuchun
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Digital Chemical Engineering, 2023 With increasing digitalization and vertical integration of chemical process systems, nonconvex optimization problems often emerge in chemical engineering applications, yet require specialized optimization techniques.
Yingwei Yuan, Kamil A. Khan
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Directional Subdifferentials and Optimality Conditions [PDF]
, 2011 This paper is devoted to the introduction and development of new dual-space constructions of generalized differentiation in variational analysis, which combine certain features of subdifferentials for nonsmooth functions (resp.
Mordukhovich, Boris S, Ginchev, Ivan
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Directed Subdifferentiable Functions and the Directed Subdifferential Without Delta-Convex Structure [PDF]
Journal of Optimization Theory and Applications, 2013 We show that the directed subdifferential introduced for differences of convex (delta-convex, DC) functions by Baier and Farkhi can be constructed from the directional derivative without using any information on the DC structure of the function.
Robert Baier +2 more
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Integration of Fenchel subdifferentials revisited
, 2021 We obtain a simple integration formula for the Fenchel subdifferentials on Euclidean spaces and analyze some of its consequences.
Martínez Legaz, Juan Enrique
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Error Bound for Conic Inequality in Hilbert Spaces
Abstract and Applied Analysis, 2014 We consider error bound issue for conic inequalities in Hilbert spaces. In terms of proximal subdifferentials of vector-valued functions, we provide sufficient conditions for the existence of a local error bound for a conic inequality.
Jiangxing Zhu, Qinghai He, Jinchuan Lin
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Multivalued nonmonotone dynamic boundary condition
Boundary Value Problems, 2021 In this paper, we introduce a new class of hemivariational inequalities, called dynamic boundary hemivariational inequalities, reflecting the fact that the governing operator is also active on the boundary.
Khadija Aayadi +3 more
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