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The power quantum calculus and variational problems
Quantum variational problems n q-power difference operator generalized Norlund sum
2011/8/23
Abstract: We introduce the power difference calculus based on the operator $D_{n,q} f(t) = \frac{f(qt^n)-f(t)}{qt^n -t}$, where $n$ is an odd positive integer and $0
Calculus of Tangent Sets and Derivatives of Set Valued Maps under Metric Subregularity Conditions
Bouligand tangent sets Ursescu tangent sets metric regularity set-valued derivatives
2011/8/23
Abstract: In this paper we intend to give some calculus rules for tangent sets in the sense of Bouligand and Ursescu, as well as for corresponding derivatives of set-valued maps. Both first and second...