Search Results - "derivatives and coderivatives"

Calculating Covering Constants for Mappings in Euclidean Spaces Using Mordukhovich Coderivatives with Applications

Authors: Li, Jinlu

Subject Terms: Functional Analysis, 49J52, 49J53, 47H10, 90C31

Relation: http://arxiv.org/abs/2510.27093

Availability: http://arxiv.org/abs/2510.27093

Generalized Newton’s method based on graphical derivatives

Authors: Hoheisel, T. Kanzow, C. Mordukhovich, B.S. et al.

Source: Nonlinear Analysis. Feb2012, Vol. 75 Issue 3, p1324-1340. 17p.

Subject Terms: *NEWTON-Raphson method, *GENERALIZATION, *NUMERICAL analysis, *NONLINEAR evolution equations, *NONSMOOTH optimization, *SMOOTHNESS of functions, *CONTINUOUS functions, *ALGORITHMS, *STOCHASTIC convergence

Sensitivity analysis of parametric vector equilibrium problems on Fréchet coderivative.

Authors: Deng, Xicai Liu, Yibo Zhong, Chongyi

Source: Journal of Inequalities & Applications; 11/17/2025, Vol. 2025 Issue 1, p1-12, 12p

SECOND-ORDER VARIATIONAL ANALYSIS IN CONIC PROGRAMMING WITH APPLICATIONS TO OPTIMALITY AND STABILITY.

Authors: MORDUKHOVICH, BORIS S. OUTRATA, JIŘÍ V. HÉCTOR, RAMÍREZ C.

Source: SIAM Journal on Optimization; 2015, Vol. 25 Issue 1, p76-101, 26p

Subject Terms: STABILITY theory, MATHEMATICAL programming, DERIVATIVES (Mathematics), PERTURBATION theory, JACOBIAN matrices, SEMIDEFINITE programming

Some Applications of Arutyunov Mordukhovich Zhukovskiy Theorem to Stochastic Integral Equations

Authors: Li, Jinlu

Subject Terms: Functional Analysis, 49J52, 49J53, 47H10, 90C31

Relation: http://arxiv.org/abs/2511.03623

Availability: http://arxiv.org/abs/2511.03623

Mordukhovich Derivatives of the Metric Projection Operator in Uniformly Convex and Uniformly Smooth Banach Spaces.

Authors: Li, Jinlu

Source: Set-Valued & Variational Analysis; Dec2024, Vol. 32 Issue 4, p1-47, 47p

Primal–Dual Stability in Local Optimality.

Authors: Benko, Matúš Rockafellar, R. Tyrrell

Source: Journal of Optimization Theory & Applications; Nov2024, Vol. 203 Issue 2, p1325-1354, 30p

Subject Terms: NONLINEAR programming, EQUATIONS

Higher-order set-valued Hadamard directional derivatives: calculus rules and sensitivity analysis of equilibrium problems and generalized equations.

Authors: Tung, Nguyen Minh Bao, Nguyen Xuan Duy

Source: Journal of Global Optimization; Jun2022, Vol. 83 Issue 2, p377-402, 26p

Subject Terms: DIRECTIONAL derivatives, SENSITIVITY analysis, CALCULUS, SET-valued maps, PARAMETRIC equations

On tangential approximations of the solution set of set-valued inclusions.

Authors: Uderzo, Amos

Source: Journal of Applied Analysis; Jun2022, Vol. 28 Issue 1, p11-33, 23p

Subject Terms: SET-valued maps, CONES

Calmness and Calculus: Two Basic Patterns.

Authors: Benko, Matúš Mehlitz, Patrick

Source: Set-Valued & Variational Analysis; Mar2022, Vol. 30 Issue 1, p81-117, 37p

Wave operators, torsion, and Weitzenböck identities.

Authors: Barrientos, José Izaurieta, Fernando Rodríguez, Eduardo et al.

Source: General Relativity & Gravitation; Mar2022, Vol. 54 Issue 3, p1-33, 33p

Subject Terms: TORSION, GRAVITATIONAL waves, PLANE wavefronts, LIE superalgebras, DARK matter, THEORY of wave motion

Global inversion for metrically regular mappings between Banach spaces.

Authors: Gutú, Olivia

Source: Revista Matematica Complutense; Jan2022, Vol. 35 Issue 1, p25-51, 27p

S-derivative of perturbed mapping and solution mapping for parametric vector equilibrium problems.

Authors: Deng, Xicai Zhao, Wei

Source: Journal of Inequalities & Applications; 7/26/2021, Vol. 2021 Issue 1, p1-16, 16p

Subject Terms: SET-valued maps, VECTOR valued functions, VECTOR analysis, SENSITIVITY analysis

On the Quantitative Solution Stability of Parameterized Set-Valued Inclusions.

Authors: Uderzo, A.

Source: Set-Valued & Variational Analysis; Jun2021, Vol. 29 Issue 2, p425-451, 27p

Active‐Set Newton Methods and Partial Smoothness.

Authors: Lewis, Adrian S. Wylie, Calvin

Source: Mathematics of Operations Research; May2021, Vol. 46 Issue 2, p712-725, 14p

Subject Terms: NEWTON-Raphson method, NONLINEAR programming, MATHEMATICAL optimization, ALGORITHMS

Optimality Conditions for Approximate Pareto Minimality.

Authors: Durea, Marius^1,2 (AUTHOR) durea@uaic.ro

Source: Numerical Functional Analysis & Optimization. 2020, Vol. 41 Issue 8, p883-900. 18p.

Subject Terms: *SET-valued maps, *MAXIMA & minima

Scaled constraint qualifications for generalized equation constrained problems and application to nonsmooth mathematical programs with equilibrium constraints.

Authors: Movahedian, Nooshin

Source: Positivity; Apr2020, Vol. 24 Issue 2, p253-285, 33p

Subject Terms: COMPLEMENTARITY constraints (Mathematics), EQUILIBRIUM, EQUATIONS, NONSMOOTH optimization

Calculus rules of the generalized contingent derivative and applications to set-valued optimization.

Authors: Anh, Nguyen Le Hoang Thoa, Nguyen Thanh

Source: Positivity; Feb2020, Vol. 24 Issue 1, p81-94, 14p

Subject Terms: FRACTIONAL calculus, SUBDIFFERENTIALS, SET-valued maps, SENSITIVITY analysis

Generalized Gaffney inequality and discrete compactness for discrete differential forms.

Authors: He, Juncai Hu, Kaibo Xu, Jinchao

Source: Numerische Mathematik; Dec2019, Vol. 143 Issue 4, p781-795, 15p

Subject Terms: DIFFERENTIAL forms, NONLINEAR equations, MATHEMATICAL equivalence, ELECTROMAGNETISM

QUANTITATIVE ANALYSIS FOR PERTURBED ABSTRACT INEQUALITY SYSTEMS IN BANACH SPACES.

Authors: CHONG LI NG, K. F.

Source: SIAM Journal on Optimization; 2018, Vol. 28 Issue 4, p2872-2901, 30p

Subject Terms: BANACH spaces, QUANTITATIVE research, MATHEMATICAL equivalence, DIFFERENTIABLE functions, PERTURBATION theory