The global weak sharp minima with explicit exponents in polynomial vector optimization problems

DOI10.1007/s11117-017-0509-6zbMath1400.49018OpenAlexW2726832051MaRDI QIDQ1746026

Xuân úc Hà Truong, Jen-Chih Yao, Tiên Sȯn Phạm

Publication date: 19 April 2018

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-017-0509-6

zbMATH Keywords

vector optimizationpolynomialsglobal weak sharp minima with explicit exponents

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Set-valued and variational analysis (49J53) Set-valued and function-space-valued mappings on manifolds (58C06)

Related Items (3)

A new scheme for approximating the weakly efficient solution set of vector rational optimization problems ⋮ Generic Properties for Semialgebraic Programs ⋮ Error bounds of regularized gap functions for polynomial variational inequalities

Cites Work

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• Conic positive definiteness and sharp minima of fractional orders in vector optimization problems
• An explicit bound for the Łojasiewicz exponent of real polynomials
• Structure and weak sharp minimum of the Pareto solution set for piecewise linear multiobjective optimization
• New fractional error bounds for polynomial systems with applications to Hölderian stability in optimization and spectral theory of tensors
• Weak sharp minima for piecewise linear multiobjective optimization in normed spaces
• Multiobjective optimization problems with equilibrium constraints
• Merit functions in vector optimization
• On the completeness and constructiveness of parametric characterizations to vector optimization problems
• Generalized semi-infinite optimization: A first order optimality condition and examples
• Nonlinear multiobjective optimization
• Error bounds for analytic systems and their applications
• Error bounds in mathematical programming
• Global Łojasiewicz-type inequality for non-degenerate polynomial maps
• Hölder-type global error bounds for non-degenerate polynomial systems
• Error bounds for parametric polynomial systems with applications to higher-order stability analysis and convergence rates
• Genericity in Polynomial Optimization
• Weak Sharp Minima in Mathematical Programming
• Separation of real algebraic sets and the Łojasiewicz exponent
• Optimization and nonsmooth analysis
• Nonconvex minimization problems
• Variational Analysis
• Global Weak Sharp Minima on Banach Spaces
• Weak sharp efficiency and growth condition for vector-valued functions with applications
• Variational Analysis and Generalized Differentiation I
• Optimality conditions for bilevel programming problems
• Weak Sharp Minima: Characterizations and Sufficient Conditions
• Metric Subregularity of Piecewise Linear Multifunctions and Applications to Piecewise Linear Multiobjective Optimization
• Multicriteria Optimization
• Weak Sharp Minima in Multicriteria Linear Programming
• ŁOJASIEWICZ INEQUALITY FOR POLYNOMIAL FUNCTIONS ON NON-COMPACT DOMAINS
• Explicit bounds for the Łojasiewicz exponent in the gradient inequality for polynomials

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