A New Constraint Qualification and Sharp Optimality Conditions for Nonsmooth Mathematical Programming Problems in Terms of Quasidifferentials
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Publication:4971017
DOI10.1137/19M1293478zbMath1493.90219arXiv1910.06050OpenAlexW3021186089MaRDI QIDQ4971017
Publication date: 8 October 2020
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.06050
Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52)
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Cites Work
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- Quaisidifferentials in Kantorovich spaces
- Optimality conditions in quasidifferentiable vector optimization
- Constraint qualifications in quasidifferentiable optimization
- Convex difference criteria for the quantitative stability of parametric quasidifferentiable systems
- On Shapiro's results in quasidifferential calculus
- Quasidifferentiability of real-valued functions and local extremum conditions
- A Farkas lemma for difference sublinear systems and quasidifferentiable programming
- Contingent cone to a set defined by equality and inequality constraints at a Fréchet differentiable point
- Directional Kuhn--Tucker condition and duality for quasidifferentiable programs
- Demyanov difference of two sets and optimality conditions of Lagrange multiplier type for constrained quasidifferential optimization.
- Quasidifferentiability and related topics. Dedicated to Prof. Franco Giannessi on his 65th birthday and to Prof. Diethard Pallaschke on his 60th birthday
- A Lagrange multiplier rule with small convex-valued subdifferentials for nonsmooth problems of mathematical programming involving equality and nonfunctional constraints
- New Lagrange multipliers rules for constrained quasidifferentiable optimization
- Quasidifferentiability and nonsmooth modelling in mechanics, engineering and economics
- Metric regularity of quasidifferentiable mappings and optimality conditions for nonsmooth mathematical programming problems
- On optimality conditions and duality results in a class of nonconvex quasidifferentiable optimization problems
- Abstract convex approximations of nonsmooth functions
- On the theory of subdifferentials
- Calculus Without Derivatives
- Approximate Subdifferentials and Applications. I: The Finite Dimensional Theory
- Classical Optimality Conditions under Weaker Assumptions
- Three criteria of minimality for pairs of compact convex sets
- On the reduction of pairs of bounded closed convex sets
- On the amount of minimal pairs of convex sets
- On quasidifferentiable mappings
- Optimization and nonsmooth analysis
- On locally-Lipschitz quasi-differentiate functions in Banach-spaces
- On the minimization of a quasidifferentiable function subject to equality-type quasidifferentiable constraints
- ε-Quasidifferentiability of real-valued functions and optimality conditions in extremal problems
- Quasidifferential calculus and first-order optimality conditions in nonsmooth optimization
- Optimality Conditions for Quasi-Differentiable Programs with Application to Two-Level Optimization
- Minimization of a quasi-differentiable function in a quasi-differentiable set
- On necessary minimum conditions in quasidifferential calculus: independence of the specific choice of quasidifferentials
- A constraint qualification in quasidifferentiable programming
- Minimal pairs of convex bodies in two dimensions
- On Quasidifferentiable Functions and Non-Differentiable Programming
- A Sharp Lagrange Multiplier Rule for Nonsmooth Mathematical Programming Problems Involving Equality Constraints
- On equivalent quasidifferentials in the two dimensional case
- Necessary minimum conditions and steepest descent directions in quasi-differential calculus: independence of the specific forms of quasidifferentials
- Quasi-Multiplier Rules for Quasidifferentiable Extremum Problems
- Fixed point theorem in nonsmooth analysis and its applications
- On Optimality Conditions in Quasidifferentiable Optimization
- Some criteria for the minimality of pairs of compact convex sets
- Optimality conditions in quasidifferentiable mathematical programming
- Fréchet quasidifferential calculus with applications to metric regularity of continuous maps