Results 21 to 30 of about 6,730 (164)
KKT reformulation and necessary conditions for optimality in nonsmooth bilevel optimization [PDF]
, 2014 For a long time, the bilevel programming problem has essentially been considered as a special case of mathematical programs with equilibrium constraints (MPECs), in particular when the so-called KKT reformulation is in question.
Dempe, Stephan, Zemkoho, Alain B.
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On generalized derivatives for C1,1 vector optimization problems
Journal of Applied Mathematics, 2003 We introduce generalized definitions of Peano and Riemann directional derivatives in order to obtain second-order optimality conditions for vector optimization problems involving C1,1 data.
Davide La Torre
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Approximate controllability for second order nonlinear evolution hemivariational inequalities
Electronic Journal of Qualitative Theory of Differential Equations, 2016 The goal of this paper is to study approximate controllability for control systems driven by abstract second order nonlinear evolution hemivariational inequalities in Hilbert spaces.
Xiuwen Li +2 more
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Nonlinear Analysis, 2023 In this paper, we investigate the effect of hemivariational inequalities on the approximate controllability of Caputo fractional differential systems. The main results of this study are tested by using multivalued maps, sectorial operators of type (P, η,
Marimuthu Mohan Raja +5 more
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Zero-Convex Functions, Perturbation Resilience, and Subgradient Projections for Feasibility-Seeking Methods [PDF]
, 2014 The convex feasibility problem (CFP) is at the core of the modeling of many problems in various areas of science. Subgradient projection methods are important tools for solving the CFP because they enable the use of subgradient calculations instead of ...
Daniel Reem, Daniel Reem, Yair Censor
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Subdifferential of the conjugate function in general Banach spaces [PDF]
TOP, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Correa, Rafael, Hantoute, Abderrahim
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A General Class of Differential Hemivariational Inequalities Systems in Reflexive Banach Spaces
Mathematics, 2021 We consider an abstract system consisting of the parabolic-type system of hemivariational inequalities (SHVI) along with the nonlinear system of evolution equations in the frame of the evolution triple of product spaces, which is called a system of ...
Lu-Chuan Ceng +3 more
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Necessary optimality conditions for nonsmooth vector optimization problems
Mathematical Modelling and Analysis, 2003 In this paper we introduce a notion of generalized derivative for nonsmooth vector functions in order to obtain necessary optimality conditions for vector optimization problems.
Davide La Torre
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Subdifferential calculus in Asplund generated spaces
Journal of Mathematical Analysis and Applications, 2006 In the paper under review some definitions and results of \textit{B. S. Mordukhovich} and \textit{Y. Shao} [Trans. Am. Math. Soc. 348, 1235--1280 (1996; Zbl 0881.49009)] on subdifferential calculus are extended from Asplund to Asplund generated spaces.
Fabian, M. (Marián) +2 more
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Lipschitz functions with maximal Clarke subdifferentials are generic [PDF]
Proceedings of the American Mathematical Society, 2000 We show that on a separable Banach space most Lipschitz functions have maximal Clarke subdifferential mappings. In particular, the generic nonexpansive function has the dual unit ball as its Clarke subdifferential at every point. Diverse corollaries are given.
Borwein, Jonathan M., Wang, Xianfu
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