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Well-Posedness and Porosity

2010
We recall the concept of porosity [10, 26, 27, 84, 97, 98, 112]. Let (Y, d) be a complete metric space. We denote by Bd(y, r) the closed ball of center \(y\ \in\ Y,\) and radius r > 0. A subset \(E \subset Y\) is called porous with respect to d (or just porous if the metric is understood) if there exist \(\alpha \in\) (0, 1] and r0 > 0 such that for ...
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Well-posedness of Nonconvex Integral Functionals

Proceedings of the 44th IEEE Conference on Decision and Control, 2004
Multiple integrals of the calculus of variations with vector-valued unknown are considered. Strong Tikhonov well-posedness within \(W^{1,1}_0\) of the corresponding minimum problems is proved assuming strict convexity of the integrand at the gradient of the minimizer.
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Well-Posedness

1999
Donald A. Drew, Stephen L. Passman
openaire   +1 more source

Well-posedness for set optimization problems

Nonlinear Analysis: Theory, Methods & Applications, 2009
S J Li, K L Teo
exaly  

Well-posedness of mixed variational inequalities, inclusion problems and fixed point problems

Journal of Global Optimization, 2007
Jen-Chih Yao   +2 more
exaly  

Unified Approaches to Well-Posedness with Some Applications

Journal of Global Optimization, 2005
Hui Yang
exaly  

Well-posedness by perturbations of mixed variational inequalities in Banach spaces

European Journal of Operational Research, 2010
Jen-Chih Yao   +2 more
exaly  

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