Displaying similar documents to “Regions of stability for ill-posed convex programs”

New regions of stability in input optimization

Sheng Huang, Sanjo Zlobec (1988)

Aplikace matematiky

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using point-to-set mappings we identify two new regions of stability in input optimization. Then we extend various results from the literature on optimality conditions, continuity of Lagrange multipliers, and the marginal value formula over the new and some old regions of stability.

Regions of stability for ill-posed convex programs: An addendum

Sanjo Zlobec (1986)

Aplikace matematiky

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The marginal value formula in convex optimization holds in a more restrictive region of stability than that recently claimed in the literature. This is due to the fact that there are regions of stability where the Lagrangian multiplier function is discontinuous even for linear models.

A stability theorem in nonlinear bilevel programming.

Shou-Yang Wang, Qian Wang, Luis Coladas Uría (1996)

Qüestiió

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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.