 |
|||||||||
| Volume 5, Number 1, January 2009, pp. 75-86 | |||||||||
| Jean-Noël Corvellec and Viorica V. Motreanu | |||||||||
| Key words: | |||||||||
| variational principle, slopes, global minima, stability | |||||||||
| Mathematices Subject Classification: 58E30, 49J52, 49K40 | |||||||||
|
|||||||||
| Volume 5, Number 1, January 2009, pp. 75-86 | |||||||||
| Jean-Noël Corvellec and Viorica V. Motreanu | |||||||||
| Key words: | |||||||||
| variational principle, slopes, global minima, stability | |||||||||
| Mathematices Subject Classification: 58E30, 49J52, 49K40 | |||||||||
|
||||||||||||||||||||||||||||||||||||||||
| Abstract: | |||
| We provide an extension of a result by Ioffe and Schwartzman [15], on the homotopical stability of global minimum points of continuous functions defined on complete metric spaces. Our approach is based on Ekeland's variational principle, rather than on the deformation techniques of nonsmooth (metric) critical point theory used in [15]. | |||
| Stability of global minimum points of lower semicontinuous functions | ||