GLOBAL ERROR BOUNDS WITH EXPONENTS FOR MULTIFUNCTIONS WITH SET CONSTRAINTS-Reference-Cited by-同舟云学术

GLOBAL ERROR BOUNDS WITH EXPONENTS FOR MULTIFUNCTIONS WITH SET CONSTRAINTS

Published:2010-06 Issue:03 Volume:12 Page:417-435
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

HUANG HUI¹

Affiliation:

1. Department of Mathematics, Yunnan University, Kunming, 650091, P. R. China

Abstract

In this paper, higher order strongly convex-graph multifunctions are introduced. Using the normal cones, we give some characterizations for higher order strongly convex-graph multifunctions. Moreover, in terms of the coderivatives, we present some sufficient conditions for multifunctions with set constraints to have global error bounds with exponents in Banach spaces.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199710003865

Reference22 articles.

1. Strong CHIP, normality, and linear regularity of convex sets

2. Optimality and mixed saddle point criteria in multiobjective optimization

3. On the Clarke subdifferential of the distance function of a closed set

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