A stability theorem in nonlinear bilevel programming

In this short paper, we are concerned with the stability of nonlinear bilevel programs. A stability problem is proven and an example is given to illustrate this theorem.

Bibliographic Details
Authors: Wang, Shouyang, Wang, Qian, Coladas Uria, Luis
Format: article
Publication Date:1996
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2099/4065
Online Access:https://hdl.handle.net/2099/4065
Access Level:Open access
Keyword:Mathematical programming
Optimization (Mathematics)
Bilevel programming
Stability
Programació (Matemàtica)
Optimització
Classificació AMS::49 Calculus of variations and optimal control
optimization::49K Necessary conditions and sufficient conditions for optimality
Classificació AMS::90 Operations research, mathematical programming::90C Mathematical programming
Description
Summary:In this short paper, we are concerned with the stability of nonlinear bilevel programs. A stability problem is proven and an example is given to illustrate this theorem.