Title: Local Monotonicity and Full Stability for Parametric Variational Systems
Abstract: This paper introduces and characterizes new notions of Lipschitzian and Hölderian full stability of solutions to general parametric variational systems defined via partial subdifferential of prox-regular functions acting in finite-dimensional and Hilbert spaces. These notions, which postulate certain quantitative properties of single-valued localizations of solution maps, are closely related to local strong maximal monotonicity of associated set-valued mappings. Based on advanced tools of variational analysis and generalized differentiation, we derive verifiable characterizations of the local strong maximal monotonicity and full stability notions under consideration via some positive-definiteness conditions involving second-order constructions of variational analysis.
Publication Year: 2016
Publication Date: 2016-01-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 30
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