Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

Journal of Convex Analysis 27 (2020), No. 1, 381--388
Copyright Heldermann Verlag 2020

On Characterizations of Metric Regularity of Multi-Valued Maps

Milen Ivanov
Radiant Life Technologies, Nicosia, Ciprus

Nadia Zlateva
Faculty of Mathematics and Informatics, Sofia University, 1164 Sofia, Bulgaria

We provide a new proof along the lines of the recent book of A. Ioffe [Variational Analysis of Regular Mappings: Theory and Applications, Springer Monographs in Mathematics (2017)] of a result of H. Frankowska [Some inverse mapping theorems, Ann. Inst. H. Poincaré, Anal. Non Linéaire 7 (1990) 183--234] showing that metric regularity of a multi-valued map can be characterized by regularity of its contingent variation -- a notion extending contingent derivative.

Keywords: Surjectivity, metric regularity, multi-valued map.

MSC: 49J53, 47H04, 54H25.

[ Fulltext-pdf  (92  KB)] for subscribers only.