On stability of approximate solutions of minimization problems

DOI10.1080/01630569108816454zbMath0772.49011OpenAlexW2097465003MaRDI QIDQ4009954

P. Shunmugaraj, Devidas Pai

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1080/01630569108816454

zbMATH Keywords

normed linear spaceapproximate minimaoptimal valuescontinuity resultsstrongly well-posedhyperspace topologiesbounded proximal convergenceconstrained level setssequence of nonempty closed subsets

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Hyperspaces in general topology (54B20) Existence of solutions for minimax problems (49J35) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (10)

Well-posed optimization problems and a new topology for the closed subsets of a metric space ⋮ Set convergences: A survey and a classification ⋮ On Hypertopologies ⋮ Stability of constrained optimization problems ⋮ More on the behaviors of fixed points sets of multifunctions and applications ⋮ Well-set and well-posed minimization problems ⋮ Stability results of a class of well-posed optimization problems ⋮ Weak Topologies for the Closed Subsets of a Metrizable Space ⋮ Well-Posedness, Regularization, and Viscosity Solutions of Minimization Problems ⋮ Quantitative stability of variational systems. III: \(\varepsilon\)- approximate solutions

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