scholarly journals On metric subregularity for convex constraint systems by primal equivalent conditions

2016 ◽  
Vol 11 (8) ◽  
pp. 1713-1728 ◽  
Author(s):  
Liyun Huang ◽  
Zhou Wei
Keyword(s):  
Metric Subregularity ◽  
Convex Constraint ◽  
Constraint Systems ◽  
Equivalent Conditions

scholarly journals Stability of Error Bounds for Semi-infinite Convex Constraint Systems

2010 ◽  
Vol 20 (4) ◽  
pp. 2080-2096 ◽  
Author(s):  
Huynh Van Ngai ◽  
Alexander Kruger ◽  
Michel Théra
Keyword(s):  
Error Bounds ◽  
Convex Constraint ◽  
Constraint Systems

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 Stability of Error Bounds for Convex Constraint Systems in Banach Spaces

2010 ◽  
Vol 20 (6) ◽  
pp. 3280-3296 ◽  
Author(s):  
Alexander Kruger ◽  
Huynh Van Ngai ◽  
Michel Théra
Keyword(s):  
Banach Spaces ◽  
Error Bounds ◽  
Convex Constraint ◽  
Constraint Systems

scholarly journals Affine Subspaces of Curvature Functions from Closed Planar Curves

2021 ◽  
Vol 76 (2) ◽  
Author(s):  
Leonardo Alese
Keyword(s):  
Arc Length ◽  
Planar Curves ◽  
Affine Subspaces ◽  
Planar Curve ◽  
Real Functions ◽  
Discrete Counterpart ◽  
Equivalent Conditions

AbstractGiven a pair of real functions (k, f), we study the conditions they must satisfy for $$k+\lambda f$$ k + λ f to be the curvature in the arc-length of a closed planar curve for all real $$\lambda $$ λ . Several equivalent conditions are pointed out, certain periodic behaviours are shown as essential and a family of such pairs is explicitely constructed. The discrete counterpart of the problem is also studied.

scholarly journals Analyzing fractional Horn constraint systems

2020 ◽  
Vol 844 ◽  
pp. 142-153
Author(s):  
Piotr Wojciechowski ◽  
R. Chandrasekaran ◽  
K. Subramani
Keyword(s):  
Constraint Systems

scholarly journals Quasi-ideal Ehresmann transversals: The spined product structure

2021 ◽  
Vol 19 (1) ◽  
pp. 77-86
Author(s):  
Xiangjun Kong ◽  
Pei Wang ◽  
Jian Tang
Keyword(s):  
Structure Theorem ◽  
Product Structure ◽  
Abundant Semigroup ◽  
Spined Product ◽  
Equivalent Conditions

Abstract In any U-abundant semigroup with an Ehresmann transversal, two significant components R and L are introduced in this paper and described by Green’s ∼ \sim -relations. Some interesting properties associated with R and L are explored and some equivalent conditions for the Ehresmann transversal to be a quasi-ideal are acquired. Finally, a spined product structure theorem is established for a U-abundant semigroup with a quasi-ideal Ehresmann transversal by means of R and L.

scholarly journals Some estimates for the commutators of multilinear maximal function on Morrey-type space

2021 ◽  
Vol 19 (1) ◽  
pp. 515-530
Author(s):  
Xiao Yu ◽  
Pu Zhang ◽  
Hongliang Li
Keyword(s):  
Maximal Function ◽  
Morrey Space ◽  
Morrey Spaces ◽  
Bounded Mean Oscillation ◽  
Generalized Morrey Spaces ◽  
Type Space ◽  
Bmo Function ◽  
Mean Oscillation ◽  
Multilinear Maximal Function ◽  
Equivalent Conditions

Abstract In this paper, we study the equivalent conditions for the boundedness of the commutators generated by the multilinear maximal function and the bounded mean oscillation (BMO) function on Morrey space. Moreover, the endpoint estimate for such operators on generalized Morrey spaces is also given.

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