First and second order sufficient conditions for strict minimality in nonsmooth vector optimization.
type: Item
instance of: scholarly article
title: First and second order sufficient conditions for strict minimality in nonsmooth vector optimization.
zbMATH Open document ID: 1033.90120
DOI: 10.1016/S0022-247X(03)00337-8
author: B. Jiménez
author: V. Novo
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-09-07T00:00:00Z
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C46
zbMATH DE Number: 1976007
zbMATH Keywords: Vector optimization
zbMATH Keywords: Strict local minimum
zbMATH Keywords: First and second order sufficient optimality conditions
zbMATH Keywords: Support function
MaRDI profile type: Publication
cites work: A unified theory of first and second order conditions for extremum problems in topological vector spaces
cites work: Technical note: Directional derivatives in nonsmooth optimization
cites work: Second order optimality conditions for differentiable multiobjective problems
cites work: Stability and regular points of inequality systems
cites work: Metric regularity, tangent sets, and second-order optimality conditions
cites work: On optimality conditions for maximizations with respect to cones
cites work: Q4875353
cites work: Q3884418
cites work: Calculus rules on a new set—valued second order derivative for convex functions
cites work: Higher order necessary conditions in abstract mathematical programming
cites work: Strict efficiency in vector optimization
cites work: Strict minimality conditions in nondifferentiable multiobjective programming
cites work: A notion of local proper efficiency in the Borwein sense in vector optimisation
cites work: FIRST AND SECOND ORDER SUFFICIENT CONDITIONS FOR STRICT MINIMALITY IN MULTIOBJECTIVE PROGRAMMING
cites work: Higher-order necessary conditions for infinite and semi-infinite optimization
cites work: Q4324471
cites work: Necessary and Sufficient Conditions for Isolated Local Minima of Nonsmooth Functions
cites work: Conditions for constrained efficient solutions of multiobjective problems in Banach spaces
cites work: Characterizations of strict local minima and necessary conditions for weak sharp minima
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description: scientific article; zbMATH DE number 1976007