Hölder metric subregularity for multifunctions in type Banach spaces

Optimization ◽  
2016 ◽  
Vol 65 (11) ◽  
pp. 1963-1982 ◽  
Author(s):  
Binbin Zhang ◽  
Kung-Fu Ng ◽  
Xi Yin Zheng ◽  
Qinghai He
Keyword(s):  
Banach Spaces ◽  
Metric Subregularity ◽  
Hölder Metric ◽  
Hölder Metric Subregularity

scholarly journals Local convergence of the Levenberg–Marquardt method under Hölder metric subregularity

2019 ◽  
Vol 45 (5-6) ◽  
pp. 2771-2806 ◽  
Author(s):  
Masoud Ahookhosh ◽  
Francisco J. Aragón Artacho ◽  
Ronan M. T. Fleming ◽  
Phan T. Vuong
Keyword(s):  
Local Convergence ◽  
Metric Subregularity ◽  
Marquardt Method ◽  
Hölder Metric ◽  
Levenberg Marquardt ◽  
Hölder Metric Subregularity

Hölder metric subregularity for constraint systems in Asplund spaces

Positivity ◽  
2018 ◽  
Vol 23 (1) ◽  
pp. 161-175 ◽  
Author(s):  
Wei Ouyang ◽  
Binbin Zhang ◽  
Jiangxing Zhu
Keyword(s):  
Metric Subregularity ◽  
Constraint Systems ◽  
Asplund Spaces ◽  
Hölder Metric ◽  
Hölder Metric Subregularity

scholarly journals Metric Subregularity for Subsmooth Generalized Constraint Equations in Banach Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-16
Author(s):  
He Qinghai ◽  
Yang Ji ◽  
Zhang Binbin
Keyword(s):  
Banach Spaces ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Normal Cones ◽  
Metric Subregularity ◽  
Constraint Equations ◽  
Asplund Spaces ◽  
Necessary And Sufficient ◽  
Generalized Constraint

This paper is devoted to metric subregularity of a kind of generalized constraint equations. In particular, in terms of coderivatives and normal cones, we provide some necessary and sufficient conditions for subsmooth generalized constraint equations to be metrically subregular and strongly metrically subregular in general Banach spaces and Asplund spaces, respectively.

Sign in / Sign up

Export Citation Format

Share Document