Generalized differentiation and fixed points sets behaviors with respect to Fisher convergence

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:387

Article

Geoffroy, Michel H.¹  Pascaline, Geraldine¹ 

[1] Univ Antilles Guyane, Dept Math, LAMIA, Pointe A Pitre, Guadeloupe, France

关键词: Set-valued mappings;    Positively homogeneous mappings;    Outer norm;    Variational convergence;    Stability of generalized differentiation;    Stability of fixed points sets;   

DOI  :  10.1016/j.jmaa.2011.09.009

来源: Elsevier

【 摘 要 】

We study the stability of a new concept of generalized differentiation for set-valued mappings involving positively homogeneous maps with respect to a variational convergence deriving from the proximal topology. This notion of convergence, well-suited for set-valued mappings, allows us as well to establish the continuous dependence of fixed points sets of set-valued contractions. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free