Generic well-posedness in minimization problems.
Ioffe, A., Lucchetti, R.E. (2005)
Abstract and Applied Analysis
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Ioffe, A., Lucchetti, R.E. (2005)
Abstract and Applied Analysis
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Howlett, P.G., Zaslavski, A.J. (2005)
Abstract and Applied Analysis
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Julian Petrov Revalski (1987)
Acta Universitatis Carolinae. Mathematica et Physica
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Corvellec, J. (1996)
Serdica Mathematical Journal
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The first motivation for this note is to obtain a general version of the following result: let E be a Banach space and f : E → R be a differentiable function, bounded below and satisfying the Palais-Smale condition; then, f is coercive, i.e., f(x) goes to infinity as ||x|| goes to infinity. In recent years, many variants and extensions of this result appeared, see [3], [5], [6], [9], [14], [18], [19] and the references therein. A general result of this type was given in [3, Theorem 5.1]...
Alexander Zaslavski (2008)
Control and Cybernetics
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Zaslavski, Alexander J. (2008)
Journal of Inequalities and Applications [electronic only]
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Giovanni P. Crespi, Ivan Ginchev, Matteo Rocca (2005)
RAIRO - Operations Research - Recherche Opérationnelle
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The existence of solutions to a scalar Minty variational inequality of differential type is usually related to monotonicity property of the primitive function. On the other hand, solutions of the variational inequality are global minimizers for the primitive function. The present paper generalizes these results to vector variational inequalities putting the Increasing Along Rays (IAR) property into the center of the discussion. To achieve that infinite elements in the image space are...
H. Attouch, R. J.-B. Wets (1989)
Annales de l'I.H.P. Analyse non linéaire
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