A porosity result in convex minimization.

Howlett, P.G.; Zaslavski, A.J.

Displaying similar documents to “A porosity result in convex minimization.”

Generic well-posedness in minimization problems.

Ioffe, A., Lucchetti, R.E. (2005)

Abstract and Applied Analysis

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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.