Openness results for parametric set-valued mappings in Asplund spaces

Yang, Ming-ge; Xu, Yifan

doi:10.1007/s11590-014-0730-1

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2017

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The results in [17] extended the corresponding results in [6,8]. It is worth mentioning that implicit multifunction theorems in [17] are required the assumption on inner semicompactness of the metric projection mapping, while implicit multifunction theorems in [2,3,5,18] are not required the assumption. So it is natural for us to discuss random implicit multifunction theorems without the assumption on inner semicompactness of the metric projection mapping in terms of Fréchet coderivatives.…”

Section: Introductionmentioning

confidence: 77%

Stability of random implicit multifunctions in separable Asplund spaces

Yang¹,

Xu²

2017

J. Nonlinear Sci. Appl.

Self Cite

View full text Add to dashboard Cite

This paper is mainly devoted to present new sufficient conditions in terms of Fréchet coderivatives for the local metric regularity, the metric regularity, the Lipschitz-like property, the nonemptiness and the lower semicontinuity of random implicit multifunctions in separable Asplund spaces. An example is given to illustrate the above random implicit multifunction results. Some applications to stability analysis of solution maps for random parametric generalized equations are also given.

show abstract