Subdifferential Stability Analysis for Convex Optimization Problems via Multiplier Sets

This paper discusses differential stability of convex programming problems in Hausdorff locally convex topological vector spaces. Among other things, we obtain formulas for computing or estimating the subdifferential and the singular subdifferential of the optimal value function via suitable multipl...

Full description

Saved in:
Bibliographic Details
Published in:Vietnam journal of mathematics Vol. 46; no. 2; pp. 365 - 379
Main Authors: An, Duong Thi Viet, Yen, Nguyen Dong
Format: Journal Article
Language:English
Published: Singapore Springer Singapore 01.06.2018
Springer Nature B.V
Subjects:
Computational geometry
Convexity
Mathematical programming
Mathematics
Mathematics and Statistics
Optimization
Stability analysis
Vector spaces
90C31
Optimal value function
Hausdorff locally convex topological vector space
90C30
Multiplier set
90C46
49K40
90C25
Subdifferential
Convex programming
49J27
ISSN:2305-221X, 2305-2228
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper discusses differential stability of convex programming problems in Hausdorff locally convex topological vector spaces. Among other things, we obtain formulas for computing or estimating the subdifferential and the singular subdifferential of the optimal value function via suitable multiplier sets.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2305-221X
2305-2228
DOI:10.1007/s10013-018-0287-x