Parametric problem of completely generalized quasi-variational inequalities.
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Perturbation theory of duality in vector optimization via the abstract duality scheme
Tran Quoc Chien (1987)
Kybernetika
Porosity and models with discrete innovations.
Zaslavski, Alexander J. (2005)
Abstract and Applied Analysis
Porosity and Variational Principles
Marchini, Elsa (2002)
Serdica Mathematical Journal
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.
Positivity and contractivity in the dynamics of clusters’ splitting with derivative of fractional order
Emile Franc Doungmo Goufo, Stella Mugisha (2015)
Open Mathematics
Classical models of clusters’ fission have failed to fully explain strange phenomenons like the phenomenon of shattering (Ziff et al., 1987) and the sudden appearance of infinitely many particles in some systems with initial finite particles number. Furthermore, the bounded perturbation theorem presented in (Pazy, 1983) is not in general true in solution operators theory for models of fractional order γ (with 0 < γ ≤ 1). In this article, we introduce and study a model that can be understood as...
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