Covering properties at positive-order rates of multifunctions and some related topics

Authors: Nguyễn Đông Yên, Jen-Chih Yao, Bùi Trọng Kiên,

https://doi.org/10.1016/j.jmaa.2007.05.041

Publisher, magazine: ,

Publication year: 2008

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Abstract

Finally, the authors discuss some known necessary and sufficient conditions for the covering property at a positive-order rate of multifunctions and the Hölder-like continuity of inverse mappings, which are formulated in terms of positive-order variations, a concept introduced by \textit{H. Frankowska} in [J. Math. Anal. Appl. 127, 172–180 (1987; Zbl 0643.46034)].

Tags: variational analysis; multifunction; covering property at positive-order rates; metric regularity property of a positive order; Hölder-like continuity property; positive-order variational coderivative; positive-order variations