Geodesic
Porosity and Variational Principles
Serdica Mathematical Journal, Tome 28 (2002) no. 1, pp. 37-46

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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.
Keywords: Variational Principles, Well-posed Optimization Problems, Porous Sets, Porosity 
Marchini, Elsa. Porosity and Variational Principles. Serdica Mathematical Journal, Tome 28 (2002) no. 1, pp. 37-46. http://geodesic.mathdoc.fr/item/SMJ2_2002_28_1_a1/
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     title = {Porosity and {Variational} {Principles}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2002_28_1_a1/}
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