Search results for "subdifferential"

Hits ?▲	Authors	Title	Venue	Year	Link	Author keywords
68	Vladimir F. Demyanov, Vera Roshchina	Exhausters, optimality conditions and related problems.	J. Glob. Optim.	2008	DBLP DOI BibTeX RDF	Positively homogeneous function, Upper and lower exhausters, Proper and adjoint exhausters, Unconstrained optimization problems, The Michel-Penot subdifferential, The Clarke subdifferential, The Fréchet subdifferential, Optimality conditions, Quasidifferentiability
58	James V. Burke, Adrian S. Lewis, Michael L. Overton	Variational analysis of functions of the roots of polynomials.	Math. Program.	2005	DBLP DOI BibTeX RDF	Mathematics Subject Classification (1991) 90C46, 15A42, 65K05, 49K40
45	D. E. Ward, Gue Myung Lee	Upper Subderivatives and Generalized Gradients of the Marginal Function of a Non-Lipschitzian Program.	Ann. Oper. Res.	2001	DBLP DOI BibTeX RDF	parametric optimization problem, marginal function, upper subderivative, generalized subdifferential, singular approximate subdifferential, Clarke tangent cone, normal cones
43	Aris Daniilidis, Florence Jules, Marc Lassonde	Subdifferential characterization of approximate convexity: the lower semicontinuous case.	Math. Program.	2009	DBLP DOI BibTeX RDF	Mathematics Subject Classification (2000) Primary: 26B25, 47H05, Secondary: 49J52
39	Truong Quang Bao, Boris S. Mordukhovich	Relative Pareto minimizers for multiobjective problems: existence and optimality conditions.	Math. Program.	2010	DBLP DOI BibTeX RDF	Mathematics Subject Classification (2000) 90C29, 49J52, 49J53
39	María J. Cánovas, Abderrahim Hantoute, Marco A. López 0001, Juan Parra	Lipschitz behavior of convex semi-infinite optimization problems: a variational approach.	J. Glob. Optim.	2008	DBLP DOI BibTeX RDF	Mathematics Subject Classification 90C34, 90C25, 90C31, 49J53
39	Yurii E. Nesterov	Lexicographic differentiation of nonsmooth functions.	Math. Program.	2005	DBLP DOI BibTeX RDF	Mathematics Subject Classification (2000) Primary: 49J40, Secondary: 58C06, 58C15, 90C31, 49J52, 90C33
23	Krzysztof Bartosz, Pawel Szafraniec, Jing Zhao	Convergence of double step scheme for a class of parabolic Clarke subdifferential inclusions.	CoRR	2024	DBLP DOI BibTeX RDF
23	M. Johnson, V. Vijayakumar 0001	An analysis on the optimal control results for second-order Sobolev-type delay differential inclusions of Clarke's subdifferential type.	Commun. Nonlinear Sci. Numer. Simul.	2024	DBLP DOI BibTeX RDF
23	Nguyen Thi Van Anh	Optimal control problem of fractional evolution inclusions with Clarke subdifferential driven by quasi-hemivariational inequalities.	Commun. Nonlinear Sci. Numer. Simul.	2024	DBLP DOI BibTeX RDF
23	Anshika, Debdas Ghosh, Radko Mesiar, Hao-Ren Yao, Ram Surat Chauhan	Generalized-Hukuhara subdifferential analysis and its application in nonconvex composite interval optimization problems.	Inf. Sci.	2023	DBLP DOI BibTeX RDF
23	Alexander V. Fominyh	The subdifferential descent method in a nonsmooth variational problem.	Optim. Lett.	2023	DBLP DOI BibTeX RDF
23	Krzysztof Bartosz, Pawel Szafraniec	Convergence of a double step scheme for a class of second order Clarke subdifferential inclusions.	CoRR	2023	DBLP DOI BibTeX RDF
23	Chao Wang 0006, Guangzhou Qin, Ravi P. Agarwal	Directional derivatives and subdifferential of convex fuzzy mapping on n-dimensional time scales and applications to fuzzy programming.	Fuzzy Sets Syst.	2023	DBLP DOI BibTeX RDF
23	Mohamed Laghdir, El Mahjoub. Echchaabaoui	Sequential Pareto Subdifferential Sum Rule for Convex Set-Valued Mappings and Applications.	J. Optim. Theory Appl.	2023	DBLP DOI BibTeX RDF
23	Nguyen Thi Toan, Le Quang Thuy, D. S. Kim	Sensitivity analysis in parametric multiobjective discrete-time control via Fréchet subdifferential calculus of the frontier map.	J. Comput. Appl. Math.	2023	DBLP DOI BibTeX RDF
23	Pei Zhang, Adriana Irawati Nur Ibrahim, Nur Anisah Mohamed	Backward Stochastic Differential Equations (BSDEs) Using Infinite-Dimensional Martingales with Subdifferential Operator.	Axioms	2022	DBLP DOI BibTeX RDF
23	Xingang Guo, Bin Hu	Global Convergence of Direct Policy Search for State-Feedback H∞ Robust Control: A Revisit of Nonsmooth Synthesis with Goldstein Subdifferential.	CoRR	2022	DBLP DOI BibTeX RDF
23	Vo Minh Tam, Nguyen Van Hung, Donal O'Regan	An existence result for a new class of fuzzy fractional differential inclusions with Clarke's subdifferential via resolvent operators in Banach spaces.	Fuzzy Sets Syst.	2022	DBLP DOI BibTeX RDF
23	Youyicun Lin, Sheng-Long Hu	B-Subdifferential of the Projection onto the Generalized Spectraplex.	J. Optim. Theory Appl.	2022	DBLP DOI BibTeX RDF
23	Nguyen Huy Chieu, Nguyen Thi Quynh Trang, Ha Anh Tuan	Quadratic Growth and Strong Metric Subregularity of the Subdifferential for a Class of Non-prox-regular Functions.	J. Optim. Theory Appl.	2022	DBLP DOI BibTeX RDF
23	Abderrahim Hantoute, Marco A. López 0001	New Tour on the Subdifferential of Supremum via Finite Sums and Suprema.	J. Optim. Theory Appl.	2022	DBLP DOI BibTeX RDF
23	Xingang Guo, Bin Hu	Global Convergence of Direct Policy Search for State-Feedback $\mathcal{H}_\infty$ Robust Control: A Revisit of Nonsmooth Synthesis with Goldstein Subdifferential.	NeurIPS	2022	DBLP BibTeX RDF
23	Nguyen Huy Chieu, Le Van Hien, Tran T. A. Nghia, Ha Anh Tuan	Quadratic Growth and Strong Metric Subregularity of the Subdifferential via Subgradient Graphical Derivative.	SIAM J. Optim.	2021	DBLP DOI BibTeX RDF
23	C. L. Yao, J. W. Chen	Vector conjugation and subdifferential of vector topical function in complete lattice.	Optim. Lett.	2021	DBLP DOI BibTeX RDF
23	Mohammad Hossein Alizadeh	On generalized convex functions and generalized subdifferential II.	Optim. Lett.	2021	DBLP DOI BibTeX RDF
23	Qamrul Hasan Ansari, Truong Quang Bao	A limiting subdifferential version of Ekeland's variational principle in set optimization.	Optim. Lett.	2021	DBLP DOI BibTeX RDF
23	Satoshi Suzuki	Karush-Kuhn-Tucker type optimality condition for quasiconvex programming in terms of Greenberg-Pierskalla subdifferential.	J. Glob. Optim.	2021	DBLP DOI BibTeX RDF
23	Duong Thi Viet An, Nguyen Dong Yen	Optimality conditions based on the Fréchet second-order subdifferential.	J. Glob. Optim.	2021	DBLP DOI BibTeX RDF
23	Rafael Correa, Abderrahim Hantoute, Marco A. López 0001	Subdifferential of the supremum function: moving back and forth between continuous and non-continuous settings.	Math. Program.	2021	DBLP DOI BibTeX RDF
23	Daoli Zhu, Sien Deng, Minghua Li, Lei Zhao	Level-Set Subdifferential Error Bounds and Linear Convergence of Bregman Proximal Gradient Method.	J. Optim. Theory Appl.	2021	DBLP DOI BibTeX RDF
23	Krzysztof Bartosz, Pawel Szafraniec, Jing Zhao	Convergence of a double step scheme for a class of parabolic Clarke subdifferential inclusions☆.	Commun. Nonlinear Sci. Numer. Simul.	2021	DBLP DOI BibTeX RDF
23	Erik Alex Papa Quiroz, Nancy Baygorrea, Nelson Maculan	Clarke Subdifferential, Pareto-Clarke Critical Points and Descent Directions to Multiobjective Optimization on Hadamard Manifolds.	MCO	2021	DBLP DOI BibTeX RDF
23	Sagar Verma, Jean-Christophe Pesquet	Sparsifying Networks via Subdifferential Inclusion.	ICML	2021	DBLP BibTeX RDF
23	Mohammad Hossein Alizadeh	On generalized convex functions and generalized subdifferential.	Optim. Lett.	2020	DBLP DOI BibTeX RDF
23	M. Farrokhiniya, Ali Barani	Limiting Subdifferential Calculus and Perturbed Distance Function in Riemannian Manifolds.	J. Glob. Optim.	2020	DBLP DOI BibTeX RDF
23	James V. Burke, Xiaojun Chen 0001, Hailin Sun	The subdifferential of measurable composite max integrands and smoothing approximation.	Math. Program.	2020	DBLP DOI BibTeX RDF
23	Jiajin Li, Anthony Man-Cho So, Wing-Kin Ma	Understanding Notions of Stationarity in Nonsmooth Optimization: A Guided Tour of Various Constructions of Subdifferential for Nonsmooth Functions.	IEEE Signal Process. Mag.	2020	DBLP DOI BibTeX RDF
23	Rafael Correa, Abderrahim Hantoute, Pedro Pérez-Aros	Subdifferential Calculus Rules for Possibly Nonconvex Integral Functions.	SIAM J. Control. Optim.	2020	DBLP DOI BibTeX RDF
23	Xianghu Liu, JinRong Wang 0001, Donal O'Regan	On the approximate controllability for fractional evolution inclusions of Sobolev and Clarke subdifferential type.	IMA J. Math. Control. Inf.	2019	DBLP DOI BibTeX RDF
23	Rafael Correa, Abderrahim Hantoute, Marco Antonio López Cerdá	Moreau-Rockafellar-Type Formulas for the Subdifferential of the Supremum Function.	SIAM J. Optim.	2019	DBLP DOI BibTeX RDF
23	Pedro Pérez-Aros	Subdifferential Formulae for the Supremum of an Arbitrary Family of Functions.	SIAM J. Optim.	2019	DBLP DOI BibTeX RDF
23	Andrea Walther, Andreas Griewank	Characterizing and Testing Subdifferential Regularity in Piecewise Smooth Optimization.	SIAM J. Optim.	2019	DBLP DOI BibTeX RDF
23	Aris Daniilidis, Gonzalo Flores	Linear Structure of Functions with Maximal Clarke Subdifferential.	SIAM J. Optim.	2019	DBLP DOI BibTeX RDF
23	N. Durga, Muthukumar Palanisamy	Existence and exponential behavior of multi-valued nonlinear fractional stochastic integro-differential equations with Poisson jumps of Clarke's subdifferential type.	Math. Comput. Simul.	2019	DBLP DOI BibTeX RDF
23	Jinzuo Chen, Mihai Postolache, Yonghong Yao	S-Subgradient Projection Methods with S-Subdifferential Functions for Nonconvex Split Feasibility Problems.	Symmetry	2019	DBLP DOI BibTeX RDF
23	Abderrahim Hantoute, René Henrion, Pedro Pérez-Aros	Subdifferential characterization of probability functions under Gaussian distribution.	Math. Program.	2019	DBLP DOI BibTeX RDF
23	Pedro Pérez-Aros	Formulae for the Conjugate and the Subdifferential of the Supremum Function.	J. Optim. Theory Appl.	2019	DBLP DOI BibTeX RDF
23	Pedro Pérez-Aros	FORUM About Formulae for the Conjugate and the Subdifferential of the Supremum Function.	J. Optim. Theory Appl.	2019	DBLP DOI BibTeX RDF
23	Ahmed Taa	Subdifferential Calculus for Set-Valued Mappings and Optimality Conditions for Multiobjective Optimization Problems.	J. Optim. Theory Appl.	2019	DBLP DOI BibTeX RDF
23	Le Thanh Tung	Strong Karush-Kuhn-Tucker optimality conditions for multiobjective semi-infinite programming via tangential subdifferential.	RAIRO Oper. Res.	2018	DBLP DOI BibTeX RDF
23	A. A. Tolstonogov	Filippov-Ważewski Theorem for Subdifferential Inclusions with an Unbounded Perturbation.	SIAM J. Control. Optim.	2018	DBLP DOI BibTeX RDF
23	Aicha Harrat, Juan J. Nieto, Amar Debbouche	Solvability and optimal controls of impulsive Hilfer fractional delay evolution inclusions with Clarke subdifferential.	J. Comput. Appl. Math.	2018	DBLP DOI BibTeX RDF
23	Anuj Bajaj, Warren L. Hare, Yves Lucet	Visualization of the $\varepsilon $ -subdifferential of piecewise linear-quadratic functions.	Comput. Optim. Appl.	2017	DBLP DOI BibTeX RDF
23	Zhenhai Liu, Stanislaw Migórski, Biao Zeng	Optimal feedback control and controllability for hyperbolic evolution inclusions of Clarke's subdifferential type.	Comput. Math. Appl.	2017	DBLP DOI BibTeX RDF
23	Alexander V. Fominykh	Methods of subdifferential and hypodifferential descent in the problem of constructing an integrally constrained program control.	Autom. Remote. Control.	2017	DBLP DOI BibTeX RDF
23	Sergey A. Timoshin	Existence and relaxation for subdifferential inclusions with unbounded perturbation.	Math. Program.	2017	DBLP DOI BibTeX RDF
23	Rafael Correa, Abderrahim Hantoute, Marco A. López 0001	Towards Supremum-Sum Subdifferential Calculus Free of Qualification Conditions.	SIAM J. Optim.	2016	DBLP DOI BibTeX RDF
23	Liang Lu, Zhenhai Liu, Maojun Bin	Approximate controllability for stochastic evolution inclusions of Clarke's subdifferential type.	Appl. Math. Comput.	2016	DBLP DOI BibTeX RDF
23	Anikó Szakál, Endre Pap, Sadegh Abbaszadeh, Madjid Eshaghi Gordji	Jensen Inequality with Subdifferential for Sugeno Integral.	MICAI (2)	2016	DBLP DOI BibTeX RDF
23	Zhenhai Liu, Biao Zeng	Existence and controllability for fractional evolution inclusions of Clarke's subdifferential type.	Appl. Math. Comput.	2015	DBLP DOI BibTeX RDF
23	Satoshi Suzuki, Daishi Kuroiwa	Characterizations of the solution set for quasiconvex programming in terms of Greenberg-Pierskalla subdifferential.	J. Glob. Optim.	2015	DBLP DOI BibTeX RDF
23	César Gutiérrez, Lidia Huerga, Vicente Novo, Lionel Thibault	Chain Rules for a Proper ε-Subdifferential of Vector Mappings.	J. Optim. Theory Appl.	2015	DBLP DOI BibTeX RDF
23	Xiao-Le Guo, C. J. Zhao, Z. W. Li	On generalized ϵ-subdifferential and radial epiderivative of set-valued mappings.	Optim. Lett.	2014	DBLP DOI BibTeX RDF
23	Florence Jules, Marc Lassonde	Subdifferential test for optimality.	J. Glob. Optim.	2014	DBLP DOI BibTeX RDF
23	Robert Baier, Elza M. Farkhi, Vera Roshchina	Directed Subdifferentiable Functions and the Directed Subdifferential Without Delta-Convex Structure.	J. Optim. Theory Appl.	2014	DBLP DOI BibTeX RDF
23	Dmitriy Drusvyatskiy, Adrian S. Lewis	Tilt Stability, Uniform Quadratic Growth, and Strong Metric Regularity of the Subdifferential.	SIAM J. Optim.	2013	DBLP DOI BibTeX RDF
23	Boris S. Mordukhovich, R. Tyrrell Rockafellar	Second-Order Subdifferential Calculus with Applications to Tilt Stability in Optimization.	SIAM J. Optim.	2012	DBLP DOI BibTeX RDF
23	Mounir El Maghri	Pareto-Fenchel ε-subdifferential sum rule and ε-efficiency.	Optim. Lett.	2012	DBLP DOI BibTeX RDF
23	Sergiy Nesenenko, Patrizio Neff	Well-Posedness for Dislocation Based Gradient Viscoplasticity I: Subdifferential Case.	SIAM J. Math. Anal.	2012	DBLP DOI BibTeX RDF
23	Nooshin Movahedian	Extremal principle based on the linear subdifferential.	Appl. Math. Lett.	2012	DBLP DOI BibTeX RDF
23	Chong Li, Kung Fu Ng	Subdifferential Calculus Rules for Supremum Functions in Convex Analysis.	SIAM J. Optim.	2011	DBLP DOI BibTeX RDF
23	Sahlar F. Meherrem, Refet Polat	Weak Subdifferential in Nonsmooth Analysis and Optimization.	J. Appl. Math.	2011	DBLP DOI BibTeX RDF
23	Radu Ioan Bot, Alina-Ramona Fratean	Looking for appropriate qualification conditions for subdifferential formulae and dual representations for convex risk measures.	Math. Methods Oper. Res.	2011	DBLP DOI BibTeX RDF
23	Radu Ioan Bot, Delia-Maria Nechita	On the Dini-Hadamard subdifferential of the difference of two functions.	J. Glob. Optim.	2011	DBLP DOI BibTeX RDF
23	Yi Jiang, Yiran He, Jie Sun 0001	Subdifferential properties of the minimal time function of linear control systems.	J. Glob. Optim.	2011	DBLP DOI BibTeX RDF
23	Jean-Paul Penot	The directional subdifferential of the difference of two convex functions.	J. Glob. Optim.	2011	DBLP DOI BibTeX RDF
23	Radu Ioan Bot, Sorin-Mihai Grad	Lower semicontinuous type regularity conditions for subdifferential calculus.	Optim. Methods Softw.	2010	DBLP DOI BibTeX RDF
23	Vera Roshchina	Mordukhovich subdifferential of pointwise minimum of approximate convex functions.	Optim. Methods Softw.	2010	DBLP DOI BibTeX RDF
23	Lionel Thibault, Dariusz Zagrodny	Subdifferential Determination of Essentially Directionally Smooth Functions in Banach Space.	SIAM J. Optim.	2010	DBLP DOI BibTeX RDF
23	Sitian Qin, Xiaoping Xue 0001	Evolution inclusions with Clarke subdifferential type in Hilbert space.	Math. Comput. Model.	2010	DBLP DOI BibTeX RDF
23	Majid Soleimani-Damaneh	Nonsmooth Optimization Using Mordukhovich's Subdifferential.	SIAM J. Control. Optim.	2010	DBLP DOI BibTeX RDF
23	Mounir El Maghri, Mohamed Laghdir	Pareto Subdifferential Calculus for Convex Vector Mappings and Applications to Vector Optimization.	SIAM J. Optim.	2009	DBLP DOI BibTeX RDF
23	Abderrahim Hantoute, Marco A. López 0001, Constantin Zalinescu	Subdifferential Calculus Rules in Convex Analysis: A Unifying Approach Via Pointwise Supremum Functions.	SIAM J. Optim.	2008	DBLP DOI BibTeX RDF
23	Rong An, Kaitai Li	Variational inequality for the rotating Navier-Stokes equations with subdifferential boundary conditions.	Comput. Math. Appl.	2008	DBLP DOI BibTeX RDF
23	Shirin Hejazian, Asadollah Niknam, Sedigheh Shadkam Torbati	Farthest Points and Subdifferential in p-Normed Spaces.	Int. J. Math. Math. Sci.	2008	DBLP DOI BibTeX RDF
23	Yan Gao	Calculating the proximal subdifferential via the quasidifferential.	Appl. Math. Lett.	2008	DBLP DOI BibTeX RDF
23	Georg Ch. Pflug	Subdifferential representations of risk measures.	Math. Program.	2006	DBLP DOI BibTeX RDF	Mathematics Subject Classification (2000) 91B82, 90C46, 91B28
23	Bilal Lassami, Stéphane Font	Backstepping Controller Retuning using ε Subdifferential Optimization.	CDC/ECC	2005	DBLP DOI BibTeX RDF
23	Guixiang Wang, Congxin Wu	Directional derivatives and subdifferential of convex fuzzy mappings and application in convex fuzzy programming.	Fuzzy Sets Syst.	2003	DBLP DOI BibTeX RDF
23	René Henrion, Abderrahim Jourani	Subdifferential Conditions for Calmness of Convex Constraints.	SIAM J. Optim.	2002	DBLP DOI BibTeX RDF
23	Aris Daniilidis, Nicolas Hadjisavvas, Juan Enrique Martínez-Legaz	An Appropriate Subdifferential for Quasiconvex Functions.	SIAM J. Optim.	2002	DBLP DOI BibTeX RDF
23	Q. J. Zhu	Lower semicontinuous Lyapunov functions and subdifferential calculus.	CDC	2002	DBLP DOI BibTeX RDF
23	Giovanni Colombo, Peter R. Wolenski	Subdifferential and regularity properties of the minimum time function: an analysis for a constant dynamics.	CDC	2002	DBLP DOI BibTeX RDF
23	Yan Gao	Newton methods for solving nonsmooth equations via a new subdifferential.	Math. Methods Oper. Res.	2001	DBLP DOI BibTeX RDF
23	Ines Campa, Marco Degiovanni	Subdifferential Calculus and Nonsmooth Critical Point Theory.	SIAM J. Optim.	2000	DBLP DOI BibTeX RDF
23	Philip J. Neame, Natashia Boland, Daniel Ralph	An outer approximate subdifferential method for piecewise affine optimization.	Math. Program.	2000	DBLP DOI BibTeX RDF
23	Vladimir F. Demyanov, Vaithilingam Jeyakumar	Hunting for a Smaller Convex Subdifferential.	J. Glob. Optim.	1997	DBLP DOI BibTeX RDF
23	John R. Birge, Liqun Qi 0001	Subdifferential Convergence in Stochastic Programs.	SIAM J. Optim.	1995	DBLP DOI BibTeX RDF
23	René Henrion	Topological characterization of the approximate subdifferential in the finite-dimensional case.	Math. Methods Oper. Res.	1995	DBLP DOI BibTeX RDF