prox-regular functionpara-colivexity para-concavityC-1.1 propertyA short proof of the fact that the infimal convolution of a prox-regular function possesses the C 1,1 property is provided. The approach here is based on techniques from generalised convexity and thus avoids the use of maximal ...
Prox-regular functionsFast trackPartly smoothTilt stabilityWhen restricted to a subspace, a nonsmooth function can be differentiable. It is known that for a nonsmooth convex function and a point, the Euclidean space can be decomposed into two subspaces: \\(\\mathcal {U}\\), over which a ...
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The U$mathcal {U}$-Lagrangian, Fast Track, and Partial Smoothness of a Prox-regular Functiondoi:10.1007/s11228-019-00518-zShuai LiuAndrew EberhardYousong LuoSpringer Science and Business Media LLC
We show that the complement of a prox-regular set is nothing but the union of closed balls with common radius. We derive from this that the prox-regularity of a given closed set is equivalent to the semiconvexity property of its distance function. Various estimates involving the metric ...
W. L. Hare, R. A. Poliquin: The quadratic sub-Lagrangian of a prox-regular function, Non- linear Anal. 47(2) (2001) 1117-1128.W. L. Hare and R. A. Poliquin. The quadratic sub-Lagrangian of a prox-regular function. In Proceedings of the Third World Congress of Nonlinear Analysts...
US7725592 * Feb 19, 2004 May 25, 2010 National Institute Of Information And Communication Technology Communication system having service hand-off function, user terminal device, transmission destination terminal device, and proxy server deviceUS7725592 Feb 19, 2004 May 25, 2010 National Institute Of ...
I005: Defective dopamine receptor G-protein function contributes to reduced dopamine-mediated inhibition of Na,K-ATPase in proximal tubules of obese zucker ratsdoi:10.1016/S0895-7061(99)80222-2Hussain, TahirBeheray, Sucheta A.Lokhandwala*, Mustafa F....
Kidney functionTubular marker proteinsDespite detailed evaluation of binding sites of ANP in the human kidney [1], the renal mechanism of action of ANP remains unclear [3]. Obviously, under the influence of ANP, various parts of the nephron exhibit different metabolic responses and hormone ...
Prox-regular functionsFast trackPartly smoothTilt stabilityWhen restricted to a subspace, a nonsmooth function can be differentiable. It is known that for a nonsmooth convex function and a point, the Euclidean space can be decomposed into two subspaces: U, over which a special Lagrangian can be ...