A Generalization of Hoffman’s Lemma in Banach Spaces and Applications

A generalized version of an important theorem called Hoffman’s lemma in the book by Bonnans and Shapiro (Perturbation analysis of optimization problems, Springer, Berlin, 2000), which deals with generalized polyhedral convex multifunctions, is obtained in this paper. Under a mild assumption, the res...

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Bibliographic Details
Published in:	Applied mathematics & optimization Vol. 91; no. 2; p. 40
Main Authors:	Huy, Nguyen Quang, Tuan, Hoang Ngoc, Yen, Nguyen Dong
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.04.2025 Springer Nature B.V
Subjects:	Algorithms Applied mathematics Banach spaces Calculus of Variations and Optimal Control; Optimization Control Hilbert space Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Numerical and Computational Physics Optimization Perturbation methods Quadratic programming Simulation Systems Theory Theorems Theoretical Local error bound 90C20 Hoffman’s lemma in Banach spaces Generalized affine variational inequality 49J53 Feasible descent method 49J40 Lipschitz continuity of a multifunction Generalized polyhedral convex multifunction Generalized quadratic programming problem 49M99
ISSN:	0095-4616, 1432-0606
Online Access:	Get full text
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