Name
Title | ||
|---|---|---|
Metric Subregularity and Calmness for Nonconvex Generalized Equations in Banach Spaces |
Abstract | ||
|---|---|---|
This paper concerns a generalized equation defined by a closed multifunction between Banach spaces, and we employ variational analysis techniques to provide sufficient and/or necessary conditions for a generalized equation to have the metric subregularity (i.e., local error bounds for the concerned multifunction) in general Banach spaces. Following the approach of Ioffe [Trans. Amer. Math. Soc., 251 (1979), pp. 61-69] who studied the numerical function case, our conditions are described in terms of coderivatives of the concerned multifunction at points outside the solution set. Motivated by the existing modulus representation and point-based criteria for the metric regularity, we establish the corresponding results for the metric subregularity. In the Asplund space case, sharper results are obtained. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1137/090772174 | SIAM Journal on Optimization |
Keywords | Field | DocType |
nonconvex generalized equations,metric subregularity,calmness,asplund space case,generalized equation,coderivative,banach spaces,corresponding result,general banach space,normal cone,concerned multifunction,banach space,metric regularity,numerical function case,normal dual mapping,closed multifunction,variational analysis | Variational analysis,Mathematical optimization,Convex metric space,Asplund space,Banach space,Solution set,Calmness,Injective metric space,Mathematics,Convex cone | Journal |
Volume | Issue | ISSN |
20 | 5 | 1052-6234 |
Citations | PageRank | References |
21 | 1.15 | 15 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xi Yin Zheng | 1 | 236 | 24.17 |
| Kung Fu Ng | 2 | 311 | 27.85 |