Results 11 to 20 of about 3,697 (188)
Subdifferential Test for Optimality [PDF]
Journal of Global Optimization, 2013 We provide a first-order necessary and sufficient condition for optimality of lower semicontinuous functions on Banach spaces using the concept of subdifferential.
Jules, Florence, Lassonde, Marc
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Subdifferential Stability and Subdifferential Sum Rules [PDF]
Vietnam Journal of Mathematics, 2019 In the first part, we discuss the stability of the strong slope and of the subdifferential of a lower semicontinuous function with respect to Wijsman perturbations of the function, i.e. perturbations described via Wijsman convergence. In the second part, we show how subdifferential sum rules can be viewed as special cases of subdifferential stability ...
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Subdifferential Calculus Using ϵ-Subdifferentials
Journal of Functional Analysis, 1993 AbstractIn applications of convex analysis it is important to be able to calculate the subdifferentials of various combinations of (proper and lower semicontinuous) convex functions, such as the sum of two such functions, or their inf-convolution ("epi-sum"), as well as the pre-composition of a convex function with an affine map or the "marginal ...
Hiriarturruty, J.B., Phelps, R.R.
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Abstract and Applied Analysis, 2014 We first obtain that subdifferentials of set-valued mapping from finite-dimensional spaces to finite-dimensional possess certain relaxed compactness.
Yanfei Chai, Sanyang Liu, Guotao Wang
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Mathematics, 2022 This article deals with the classes of approximate Minty- and Stampacchia-type vector variational inequalities on Hadamard manifolds and a class of nonsmooth interval-valued vector optimization problems.
Savin Treanţă +2 more
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Abstract and Applied Analysis, 2002 In a real separable Hilbert space, we consider nonautonomous evolution equations including time-dependent subdifferentials and their nonmonotone multivalued perturbations.
Noriaki Yamazaki
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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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Calculus Rules for V-Proximal Subdifferentials in Smooth Banach Spaces
Journal of Function Spaces, 2016 In 2010, Bounkhel et al. introduced new proximal concepts (analytic proximal subdifferential, geometric proximal subdifferential, and proximal normal cone) in reflexive smooth Banach spaces.
Messaoud Bounkhel
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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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Characterization of the monotone polar of subdifferentials
, 2013 We show that a point is solution of the Minty variational inequality of subdifferential type for a given function if and only if the function is increasing along rays starting from that point.
Lassonde, Marc
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