Optimality Conditions in Directionally Differentiable Pareto Problems with a Set Constraint via Tangent Cones

DOI10.1081/NFA-120023868zbMath1097.90047MaRDI QIDQ4435185

Bienvenido Jiménez, Vicente Novo Sanjurjo

Publication date: 26 November 2003

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonsmooth analysis (49J52)

Related Items (15)

Necessary conditions for efficiency in terms of the Michel–Penot subdifferentials ⋮ On constraint qualifications in directionally differentiable multiobjective optimization problems ⋮ On Proper Efficiency in Multiobjective Semi-infinite Optimization ⋮ Dini and Hadamard directional derivatives in multiobjective optimization: an overview of some results ⋮ On second-order optimality conditions for vector optimization ⋮ Efficient solutions and optimality conditions for vector equilibrium problems ⋮ ϵ-Efficient solutions in semi-infinite multiobjective optimization ⋮ Studniarski's derivatives and efficiency conditions for constrained vector equilibrium problems with applications ⋮ On second-order optimality conditions for continuously Fréchet differentiable vector optimization problems ⋮ Higher-Order Efficiency Conditions Via Higher-Order Tangent Cones ⋮ Mixed Duality without Constraint Qualification for Nonsmooth Fractional Programming ⋮ On alternative theorems and necessary conditions for efficiency ⋮ Multiobjective Problems with Nonsmooth Equality Constraints ⋮ Karush-Kuhn-Tucker Optimality Conditions and Duality for Multiobjective Semi-Infinite Programming Via Tangential Subdifferentials ⋮ Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation

Cites Work

• Optimality conditions in multiobjective differentiable programming
• Foundations of optimization
• Contingent cone to a set defined by equality and inequality constraints at a Fréchet differentiable point
• Quasiconvex optimization and location theory
• A finite dimensional extension of Lyusternik theorem with applications to multiobjective optimization
• Strong conical hull intersection property, bounded linear regularity, Jameson's property \((G)\), and error bounds in convex optimization
• Optimality conditions in smooth nonlinear programming
• Optimization and nonsmooth analysis
• Necessary and Sufficient Conditions for Isolated Local Minima of Nonsmooth Functions
• Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
• Variational Analysis
• Best Approximation from the Intersection of a Closed Convex Set and a Polyhedron in Hilbert Space, Weak Slater Conditions, and the Strong Conical Hull Intersection Property
• Convex Analysis

This page was built for publication: Optimality Conditions in Directionally Differentiable Pareto Problems with a Set Constraint via Tangent Cones