Mean value in invexity analysis

In this paper, a generalization of the mean value theorem is considered in the case of functions defined on an invex set with respect to η (which is not necessarily connected).

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Bibliographic Details
Published in:Nonlinear analysis 2005-03, Vol.60 (8), p.1473-1484
Main Author: Antczak, Tadeusz
Format: Article
Language:English
Subjects:
[formula omitted]-path
Exact sciences and technology
Invex function with respect to [formula omitted]
Invex set with respect to [formula omitted]
Mathematical analysis
Mathematics
Mean-value inequality
Mean-value theorem
Real functions
Sciences and techniques of general use
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Description
Summary:In this paper, a generalization of the mean value theorem is considered in the case of functions defined on an invex set with respect to η (which is not necessarily connected).
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2004.11.005