Stability of metric regularity with set-valued perturbations and application to Newton’s method for solving generalized equations
Sign Up to like & getrecommendations! Published in 2017 at "Set-Valued and Variational Analysis"
DOI: 10.1007/s11228-017-0438-3
Abstract: In this paper, we deal firstly with the question of the stability of the metric regularity under set-valued perturbation. By adopting the measure of closeness between two multifunctions, we establish some stability results on the… read more here.
Keywords: stability metric; regularity set; metric regularity; set valued ... See more keywords
Metric Regularity of Quasidifferentiable Mappings and Optimality Conditions for Nonsmooth Mathematical Programming Problems
Sign Up to like & getrecommendations! Published in 2019 at "Set-Valued and Variational Analysis"
DOI: 10.1007/s11228-019-00521-4
Abstract: This article is devoted to the analysis of necessary and/or sufficient conditions for metric regularity in terms of Demyanov-Rubinov-Polyakova quasidifferentials. We obtain new necessary and sufficient conditions for the local metric regularity of a multifunction… read more here.
Keywords: optimality conditions; optimality; programming problems; metric regularity ... See more keywords