Implicit Multifunction Theorems in Banach Spaces

This paper is mainly devoted to the study of implicit multifunction theorems in terms of Clarke coderivative in general Banach spaces. We present new sufficient conditions for the local metric regularity, metric regularity, Lipschitz-like property, nonemptiness, and lower semicontinuity of implicit...

Full description

Saved in:
Bibliographic Details
Published in:Journal of Applied Mathematics Vol. 2014; no. 2014; pp. 901 - 907-884
Main Authors: Yang, Ming-ge, Xu, Yi-fan
Format: Journal Article
Language:English
Published: Cairo, Egypt Hindawi Limiteds 01.01.2014
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Subjects:
Banach space
Banach spaces
Economic models
Error analysis
Functional equations
Functions
Mathematical analysis
Mathematical research
Regularity
Theorems
Variational principles
ISSN:1110-757X, 1687-0042
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper is mainly devoted to the study of implicit multifunction theorems in terms of Clarke coderivative in general Banach spaces. We present new sufficient conditions for the local metric regularity, metric regularity, Lipschitz-like property, nonemptiness, and lower semicontinuity of implicit multifunctions in general Banach spaces. The basic tools of our analysis involve the Ekeland variational principle, the Clarke subdifferential, and the Clarke coderivative.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ObjectType-Article-2
ObjectType-Feature-1
content type line 23
ISSN:1110-757X
1687-0042
DOI:10.1155/2014/892641