A finite dimensional extension of Lyusternik theorem with applications to multiobjective optimization
type: Item
instance of: scholarly article
title: A finite dimensional extension of Lyusternik theorem with applications to multiobjective optimization
zbMATH Open document ID: 1008.90051
DOI: 10.1016/S0022-247X(02)00064-1
author: B. Jiménez
author: V. Novo
published in: Journal of Mathematical Analysis and Applications
publication date: 2002-09-08T00:00:00Z
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C46
Mathematics Subject Classification ID: 49J52
zbMATH DE Number: 1797512
zbMATH Keywords: multiobjective optimization
zbMATH Keywords: nonsmooth analysis
zbMATH Keywords: tangent cone
zbMATH Keywords: Clarke derivative
zbMATH Keywords: necessary optimality conditions
zbMATH Keywords: Lagrange multipliers
MaRDI profile type: Publication
cites work: Foundations of optimization
cites work: Optimality conditions in multiobjective differentiable programming
cites work: Classical Optimality Conditions under Weaker Assumptions
cites work: Q4000274
cites work: A New Approach to Lagrange Multipliers
cites work: On optimality conditions in nondifferentiable programming
cites work: Refinements of necessary optimality conditions in nondifferentiable programming. I
cites work: Weak Pareto-optimal necessary conditions in a nondifferentiable multiobjective program on a Banach space
cites work: Necessary and sufficient conditions for the efficient solutions of nondifferentiable multiobjective problems
cites work: Nondifferentiable optimization by smooth approximations
cites work: Nonsmooth multiobjective programming
cites work: Q4866631
cites work: Constraint qualifications and Lagrange multipliers in nondifferentiable programming problems
cites work: Q4321823
cites work: Q4296836
cites work: Q4893881
cites work: Q4715202
cites work: Q5599348
cites work: Lagrange Multipliers and Optimality
cites work: Q4296835
cites work: Q3884418
cites work: Q4296834
cites work: Small convex-valued subdifferentials in mathematical programming
cites work: Qualification conditions for multivalued functions in Banach spaces with applications to nonsmooth vector optimization problems
cites work: Lagrange Multipliers for Nonconvex Generalized Gradients with Equality, Inequality, and Set Constraints
full work available at URL: s0022-247x(02)00064-1
OpenAlex ID: W1969779877
Recommended article: An Extended Extremal Principle with Applications to Multiobjective Optimization
Recommended article: Q4306188
Recommended article: A generalization of multiplier rules for infinite-dimensional optimization problems
Recommended article: Optimality and Duality for Non-Lipschitz Multiobjective Optimization Problems
Recommended article: The infinite dimensional Lagrange multiplier rule for convex optimization problems
Recommended article: Bounded sets of Lagrange multipliers for vector optimization problems in infinite dimension
Recommended article: Optimality and duality theorems in nonsmooth multiobjective optimization
Recommended article: On Multi-objective Optimization Problems and Vector Variational-Like Inequalities
Recommended article: Optimality in continuous-time multiobjective optimization and vector variational-like inequalities
Recommended article: Levitin-Polyak well-posedness for generalized semi-infinite multiobjective programming problems
description: scientific article; zbMATH DE number 1797512