2019•OptimizationOpen access

On Lipschitz-like continuity of a class of set-valued mappings

Ewa M. Bednarczuk, Leonid I. Minchenko, Krzysztof E. Rutkowski

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Abstract

We study set-valued mappings defined by solution sets of parametric systems of equalities and inequalities. We prove Lipschitz-like continuity of these mappings under relaxed constant rank constraint qualification.

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We study set-valued mappings defined by solution sets of parametric systems of equalities and inequalities. We prove Lipschitz-like continuity of these mappings under relaxed constant rank constraint qualification.

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Available abstract

We study set-valued mappings defined by solution sets of parametric systems of equalities and inequalities. We prove Lipschitz-like continuity of these mappings under relaxed constant rank constraint qualification.

Key concepts: Lipschitz continuity, Class (philosophy), Set (abstract data type), Lipschitz domain, Mathematics, Mathematical economics, Pure mathematics, Discrete mathematics

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