On upper semicontinuity of global minima in constrained optimization problems

DOI10.1016/0022-247X(82)90225-6zbMath0482.90080MaRDI QIDQ1162933

Ewa M. Bednarczuk

Publication date: 1982

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

constrained optimizationupper semicontinuitycomplete metric spacestability propertiessolution multifunctionperturbations in constraints

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Set-valued maps in general topology (54C60) Weak and generalized continuity (54C08) Programming in abstract spaces (90C48)

Related Items

A note on the solution set in optimization with respect to cones ⋮ Stability of majorly efficient points and solutions in multiobjective programming ⋮ Characterization of semicontinuity of solutions to abstract optimization problems ⋮ Existence theorems of equilibrium points in stackelberg ⋮ Metrically well-set minimization problems ⋮ Sufficient conditions for the stability of the karush- kuhn - tucker point set in quadratic programming ⋮ Perturbed convex programming in reflexive Banach spaces ⋮ Parametrized multicriteria optimization: Continuity and closedness of optimal multifunctions ⋮ Convergence of minima in convergence spaces¹ ⋮ Stable extensions of constrained optimization problems ⋮ Best approximation and optimization ⋮ On the continuity of the minima for a family of constrained optimization problems^∗

Cites Work

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• Lipschitz Continuity for Constrained Processes
• Mathematical methods of game and economic theory
• Rates of Stability in Nonlinear Programming
• A note on the continuity of the solution set of special dual optimization problems
• On the lower semicontinuity of optimal sets in convex parametric optimization
• Stability in Nonlinear Programming
• Point-to-Set Maps in Mathematical Programming

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