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Characterization of the Cone and Applications in Banach Spaces

Authors :
Yonghong Wu
Dezhou Kong
Lishan Liu
Source :
Numerical Functional Analysis and Optimization. 40:1703-1719
Publication Year :
2019
Publisher :
Informa UK Limited, 2019.

Abstract

In this article, we first discuss the subduality and orthogonality of the cones and the dual cones when the norm is monotone in Banach spaces. Then, under different assumptions, the necessary and s...

Subjects

Subjects :
Pure mathematics
Control and Optimization
010102 general mathematics
Banach space
Characterization (mathematics)
01 natural sciences
Computer Science Applications
Dual (category theory)
010101 applied mathematics
Monotone polygon
Orthogonality
Cone (topology)
Complementarity theory
Signal Processing
Variational inequality
0101 mathematics
Analysis
Mathematics

Details

ISSN :
15322467 and 01630563
Volume :
40
Database :
OpenAIRE
Journal :
Numerical Functional Analysis and Optimization
Accession number :
edsair.doi...........eda0fbe318a32a2077f2436b587c22e1
Full Text :
https://doi.org/10.1080/01630563.2019.1641115
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