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New regions of stability in input optimization

Sheng Huang, Sanjo Zlobec (1988)

Aplikace matematiky

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.

Note on the selection properties of set-valued semimartingales

Mariusz Michta (1996)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

Set-valued semimartingales are introduced as an extension of the notion of single-valued semimartingales. For such multivalued processes their semimartingale selection properties are investigated.

Notes on approximation in the Musielak-Orlicz sequence spaces of multifunctions

Andrzej Kasperski (1995)

Commentationes Mathematicae Universitatis Carolinae

We introduced the notion of ( 𝐗 , dist , 𝒱 ) -boundedness of a filtered family of operators in the Musielak-Orlicz sequence space X ϕ of multifunctions. This notion is used to get the convergence theorems for the families of 𝐗 -linear operators, 𝐗 -dist-sublinear operators and 𝐗 -dist-convex operators. Also, we prove that X ϕ is complete.

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