Some properties of efficient solutions for vector optimization

DOI10.1007/BF00939284zbMath0548.90063OpenAlexW1991187548MaRDI QIDQ799482

N. E. Zubov

Publication date: 1985

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00939284

zbMATH Keywords

vector optimizationoptimality conditionsLebesgue measureweakly efficient solutionsBrouwer and Leray-Schauder degreescontinuously nested approximationsFréchet and Gateaux differentiabilitytheory of degree

Mathematics Subject Classification ID

Nonlinear programming (90C30) Fréchet and Gateaux differentiability in optimization (49J50) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items (1)

A survey of vector optimization in infinite-dimensional spaces. II

Cites Work

• Weak Pareto optimality of multiobjective problems in a locally convex linear topological space
• A descent method for Pareto optimization
• Maximal vectors and multi-objective optimization
• A unified theory of first and second order conditions for extremum problems in topological vector spaces
• On optimality in abstract convex programming
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