Search Results - "SUBDIFFERENTIALS"

NECESSARY CONDITIONS FOR THE OPTIMAL CONTROL OF A SHAPE OPTIMIZATION PROBLEM WITH NONSMOOTH PDE CONSTRAINTS.

Authors: BETZ, LIVIA¹ livia.betz@uni-wuerzburg.de

Source: SIAM Journal on Control & Optimization. 2025, Vol. 63 Issue 5, p3618-3643. 26p.

Subject Terms: *OPTIMAL control theory, SUBDIFFERENTIALS, VARIATIONAL approach (Mathematics), STRUCTURAL optimization, ADJOINT differential equations, PARTIAL differential equations

Subdifferentials and Penalty Approximations of the Obstacle Problem.

Authors: Alphonse, Amal Wachsmuth, Gerd

Source: SIAM Journal on Optimization. 2025, Vol. 35 Issue 3, p2017-2039. 23p.

Subject Terms: *OPTIMAL control theory, *FUNCTIONAL analysis, SUBDIFFERENTIALS, MATHEMATICAL regularization, NONLINEAR boundary value problems

On second-order optimality conditions for C^1,1 optimization problems via Lagrangian functions.

Authors: Thi Viet An, Duong Van Tuyen, Nguyen

Source: Applicable Analysis. Oct2025, Vol. 104 Issue 15, p3024-3040. 17p.

Subject Terms: *LAGRANGIAN functions, *SUBDIFFERENTIALS, *NONSMOOTH optimization, *MATHEMATICAL bounds, *CONSTRAINTS (Physics), *MULTI-objective optimization

Analysis of Subdifferentials of Marginal and Performance Functions: Analysis of Subdifferentials of Marginal and Performance...: D.T.V. An, J.-P. Penot.

Authors: An, Duong Thi Viet Penot, Jean-Paul

Source: Applied Mathematics & Optimization. Jun2025, Vol. 91 Issue 3, p1-28. 28p.

Subject Terms: SUBDIFFERENTIALS

BEYOND THE FERMAT OPTIMALITY RULES.

Authors: ABBASI, MALEK GRAD, SORIN-MIHAI THÉRAS, MICHEL A.

Source: SIAM Journal on Optimization. 2025, Vol. 35 Issue 2, p818-841. 24p.

Subject Terms: *MATHEMATICAL optimization, *MATHEMATICAL analysis, SUBDIFFERENTIALS, NONCONVEX programming, REAL variables, DIRECTIONAL derivatives, VARIATIONAL principles, CALCULUS

Optimality Conditions for Nondifferentiable Interval-Valued Bilevel Optimization Problems via Tangential Subdifferentials.

Authors: Antczak, Tadeusz Pandey, Rishabh Singh, Vinay

Source: Bulletin of the Malaysian Mathematical Sciences Society. Feb2026, Vol. 49 Issue 1, p1-26. 26p.

Subject Terms: *BILEVEL programming, *SUBDIFFERENTIALS, *DISCONTINUOUS functions, *VARIATIONAL principles, *NONSMOOTH optimization, *SET-valued maps

Conic cancellation laws and some applications in set optimization.

Authors: Durea, Marius Florea, Elena-Andreea

Source: Optimization. Sep2025, Vol. 74 Issue 11, p2657-2675. 19p.

Subject Terms: *SUBDIFFERENTIALS, *SET-valued maps, *NORMED rings, *CONSTRAINED optimization, *MATHEMATICS theorems, *MULTI-objective optimization

Strict Efficiency in Set Optimization Studied with the Set Approach.

Authors: Ha, Truong Xuan Duc¹ (AUTHOR) hatxd@thanglong.edu.vn

Source: Journal of Optimization Theory & Applications. May2025, Vol. 205 Issue 2, p1-20. 20p.

Subject Terms: *DIRECTIONAL derivatives, *SUBDIFFERENTIALS, *SET-valued maps

A subgradient projection method for quasiconvex minimization.

Authors: Choque, Juan Lara, Felipe Marcavillaca, Raúl T.

Source: Positivity. Nov2024, Vol. 28 Issue 5, p1-18. 18p.

Subject Terms: *MATHEMATICS, *ALGORITHMS, SUBGRADIENT methods, SUBDIFFERENTIALS

Second-Order Subdifferential Optimality Conditions in Nonsmooth Optimization: Second-order subdifferential optimality conditions in nonsmooth optimization

Authors: Khanh, P. D. Khoa, V. V. H. Mordukhovich, B. S. et al.

Source: SIAM Journal on Optimization. 35:678-711

Subject Terms: variational analysis and nonsmooth optimization, variational convexity, Nonlinear programming, Optimization and Control (math.OC), second-order subdifferentials, Nonsmooth analysis, nonlinear programming, FOS: Mathematics, Mathematics - Optimization and Control, Set-valued and variational analysis, second-order optimality conditions

File Description: application/xml

Access URL: http://arxiv.org/abs/2312.16277
https://zbmath.org/8029925
https://doi.org/10.1137/23m1627237

Existence Results and Gap Functions for Nonsmooth Weak Vector Variational-Hemivariational Inequality Problems on Hadamard Manifolds.

Authors: Upadhyay, Balendu Bhooshan Sain, Shivani Mishra, Priyanka et al.

Source: Mathematics (2227-7390). Mar2025, Vol. 13 Issue 6, p995. 34p.

Subject Terms: *VECTOR valued functions, *SUBDIFFERENTIALS, *GEODESICS

THE WEAK SUBDIFFERENTIAL, AUGMENTED NORMAL CONES AND DUALITY IN NONCONVEX OPTIMIZATION.

Authors: BILA, Samet KASIMBEYLI, Refail

Source: Eskişehir Technical University Journal of Science & Technology B - Theoretical Sciences. Feb2025, Vol. 13 Issue 1, p67-76. 10p.

Subject Terms: *SUBDIFFERENTIALS, *NONSMOOTH optimization, *PERTURBATION theory, *DUALITY theory (Mathematics)

ON SOME CLASSES OF WEAKLY SUBDIFFERENTIABLE FUNCTIONS.

Authors: BILA, Samet KASIMBEYLI, Refail

Source: Eskişehir Technical University Journal of Science & Technology B - Theoretical Sciences. Feb2025, Vol. 13 Issue 1, p24-34. 11p.

Subject Terms: *LIPSCHITZ continuity, *SUBDIFFERENTIALS, *SUBGRADIENT methods

Optimality conditions for Bolza type problems with maximal monotone operators.

Authors: Bourega, Abdeldjabar

Source: Numerical Algebra, Control & Optimization; Dec2025, Vol. 15 Issue 4, p1-12, 12p

Subject Terms: MONOTONE operators, SUBDIFFERENTIALS, NUMERICAL analysis, TRAJECTORIES (Mechanics), CALCULUS of variations, NONSMOOTH optimization, ASYMPTOTIC expansions, VARIATIONAL principles

Optimal feedback control for a class of partial differential inclusions with memory.

Authors: Dads, El Hadi Ait Matloub, Jaouad El Ezzinbi, Khalil

Source: Evolution Equations & Control Theory; Dec2025, Vol. 14 Issue 6, p1-19, 19p

Subject Terms: OPTIMAL control theory, DIFFERENTIAL inclusions, SUBDIFFERENTIALS, SET-valued maps, OPERATOR functions

Regional fractional enlarged controllability of Riemann–Liouville fractional time linear systems.

Authors: Benoudi, Mustapha Larhrissi, Rachid

Source: Asian Journal of Control; Nov2025, Vol. 27 Issue 6, p3142-3150, 9p

Subject Terms: CONTROLLABILITY in systems engineering, FRACTIONAL calculus, LINEAR control systems, SUBDIFFERENTIALS, SUBGRADIENT methods, VARIATIONAL approach (Mathematics), OPTIMAL control theory

New calculus rules of relative subdifferentials and applications to constrained optimization problems.

Authors: Tinh, Cao Thanh Qin, Xiaolong Chuong, Thai Doan et al.

Source: Journal of Global Optimization; Nov2025, Vol. 93 Issue 3, p897-922, 26p

Subject Terms: SUBDIFFERENTIALS, CONSTRAINED optimization, DISCONTINUOUS functions, CALCULUS, CONSTRAINT satisfaction

On the approximate controllability of second-order stochastic differential systems with hemivariational inequalities with damping.

Authors: Shanmugapriya, R. S. Vijayakumar, V.

Source: Optimization; Oct2025, Vol. 74 Issue 14, p3659-3686, 28p

Subject Terms: STOCHASTIC differential equations, CONTROLLABILITY in systems engineering, DAMPING (Mechanics), MATHEMATICAL analysis, VARIATIONAL inequalities (Mathematics), SUBDIFFERENTIALS, FIXED point theory

People: CLARKE, Michael John, 1981-

On second-order optimality conditions for C^1,1 optimization problems via Lagrangian functions.

Authors: Thi Viet An, Duong Van Tuyen, Nguyen

Source: Applicable Analysis; Oct2025, Vol. 104 Issue 15, p3024-3040, 17p

Subject Terms: LAGRANGIAN functions, SUBDIFFERENTIALS, NONSMOOTH optimization, MATHEMATICAL bounds, CONSTRAINTS (Physics), MULTI-objective optimization

Topological properties of solution sets for control problems driven by fractional delay differential quasi-hemivariational inequalities and applications.

Authors: Jiang, Yirong Qin, Xiaoling Tang, Guoji

Source: Fractional Calculus & Applied Analysis; Oct2025, Vol. 28 Issue 5, p2447-2483, 37p

Subject Terms: TOPOLOGICAL property, OPTIMAL control theory, SUBDIFFERENTIALS, CONTROLLABILITY in systems engineering, DELAY differential equations, DIFFERENTIAL inequalities, AUTOMATIC control systems