Advertisement

Well-Posedness and Porosity

  • Alexander J. Zaslavski
Chapter
Part of the Springer Optimization and Its Applications book series (SOIA, volume 44)

Abstract

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 each \(r \in\) (0, r0] and each \(y \in Y\) there exists \(z \in Y\) for which \(B_d (z,\alpha r) \subset B_d (y,r)\ \backslash\ E.\)

Keywords

Banach Space Natural Number Minimization Problem Variational Principle Equilibrium Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of MathematicsTechnion - Israel Institute of TechnologyHaifaIsrael

Personalised recommendations