On Sum-Rules for Second-Order Contingent Derivatives

Mario Jelitte ()
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Mario Jelitte: Technische Universität Dresden

A chapter in Operations Research Proceedings 2024, 2025, pp 141-147 from Springer

Abstract: Abstract We are concerned with contingent derivatives and their second-order counterparts (introduced by Ngai et al.) of set-valued mappings. Special attention is given to the development of new sum-rules for second-order contingent derivatives. To be precise, we want to find conditions under which the second-order contingent derivative of the sum of a smooth and a set-valued mapping coincides with the sum of the derivatives. An application to the computation of tangents to the solution set of a generalized equation is also included.

Keywords: Second-Order Contingent Derivative; Generalized Equation; Error Bound; Tangent Cone (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnopch:978-3-031-92575-7_20

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DOI: 10.1007/978-3-031-92575-7_20

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