Generic well-posedness in minimization problems.
Ioffe, A., Lucchetti, R.E. (2005)
Abstract and Applied Analysis
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Displaying similar documents to “A porosity result in convex minimization.”
Generic well-posedness in minimization problems.
Porosity and Variational Principles
Marchini, Elsa (2002)
Serdica Mathematical Journal
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We prove that in some classes of optimization problems, like lower semicontinuous functions which are bounded from below, lower semi-continuous or continuous functions which are bounded below by a coercive function and quasi-convex continuous functions with the topology of the uniform convergence, the complement of the set of well-posed problems is σ-porous. These results are obtained as realization of a theorem extending a variational principle of Ioffe-Zaslavski.
Porosity of convex nowhere dense subsets of normed linear spaces.
Strobin, Filip (2009)
Abstract and Applied Analysis
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On -porous sets in abstract spaces.
Zajíček, L. (2005)
Abstract and Applied Analysis
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Generic well-posedness in some classes of optimization problems
Julian Petrov Revalski (1987)
Acta Universitatis Carolinae. Mathematica et Physica
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Properties of typical bounded closed convex sets in Hilbert space.
de Blasi, F.S., Zhivkov, N.V. (2005)
Abstract and Applied Analysis
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Porosity and compacta with dense ambiguous loci of metric projections
Jan Kolář (1998)
Acta Universitatis Carolinae. Mathematica et Physica
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-porosity in monotonic analysis with applications to optimization.
Rubinov, A.M. (2005)
Abstract and Applied Analysis
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