On the continuity of the minima for a family of constrained optimization problems∗

DOI10.1080/01630568508816198zbMath0574.49017OpenAlexW2063641556MaRDI QIDQ3694143

Roberto Lucchetti

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/01630568508816198

zbMATH Keywords

multifunctionconstrained minimum problemsTykhonov well posedness

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Set-valued maps in general topology (54C60) Programming in abstract spaces (90C48) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (7)

On variational stability in competitive economies ⋮ Well-set and well-posed minimization problems ⋮ On stability of approximate solutions of minimization problems ⋮ Characterization of semicontinuity of solutions to abstract optimization problems ⋮ Metrically well-set minimization problems ⋮ Stability in convex semi-infinite programming and rates of convergence of optimal solutions of discretized finite subproblems ⋮ On approximate minima of a convex functional and lower semicontinuity of metric projections

Cites Work

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• On upper semicontinuity of global minima in constrained optimization problems
• Hadamard and Tyhonov well-posedness of a certain class of convex functions
• A sufficient condition for continuity of optimal sets in mathematical programming
• On the continuity of the minimum set of a continuous function
• About well-posed optimization problems for functionals in metric spaces
• Lipschitz Continuity for Constrained Processes
• Mathematical methods of game and economic theory
• Stability Theory for Systems of Inequalities. Part I: Linear Systems
• Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
• STABILITY OF A MINIMIZATION PROBLEM UNDER PERTURBATION OF THE SET OF ADMISSIBLE ELEMENTS
• Point-to-Set Maps in Mathematical Programming

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