Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/15819
Title: Conic positive definiteness and sharp minima of fractional orders in vector optimization problems
Authors: Zheng, XY
Yang, XQ 
Keywords: Conic positive definiteness
Ideal solution
Pareto solution
Sharp minima
Weak Pareto solution
Issue Date: 2012
Publisher: Academic Press
Source: Journal of mathematical analysis and applications, 2012, v. 391, no. 2, p. 619-629 How to cite?
Journal: Journal of mathematical analysis and applications 
Abstract: Motivated by the fact that the usual positive definiteness does not work in an infinite space, we introduce the concept of S-positive definiteness with respect to an ordering cone in a general Banach space and show that the S-positive definiteness plays the same role as the usual positive definiteness in the finite dimensional case. As applications, we study sharp and weak sharp minima of fractional orders in vector optimization.
URI: http://hdl.handle.net/10397/15819
ISSN: 0022-247X
EISSN: 1096-0813
DOI: 10.1016/j.jmaa.2012.02.045
Appears in Collections:Journal/Magazine Article

Access
View full-text via PolyU eLinks SFX Query
Show full item record

SCOPUSTM   
Citations

1
Last Week
0
Last month
0
Citations as of Sep 11, 2017

WEB OF SCIENCETM
Citations

1
Last Week
0
Last month
0
Citations as of Sep 14, 2017

Page view(s)

37
Last Week
4
Last month
Checked on Sep 18, 2017

Google ScholarTM

Check

Altmetric



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.