Characterizations of Local and Global Error Bounds for Convex Inequalities in Banach Spaces

2007 ◽  
Vol 18 (1) ◽  
pp. 309-321 ◽  
Author(s):  
Hui Hu
Keyword(s):  
Banach Spaces ◽  
Error Bounds ◽  
Global Error ◽  
Convex Inequalities

GLOBAL ERROR BOUNDS WITH EXPONENTS FOR MULTIFUNCTIONS WITH SET CONSTRAINTS

2010 ◽  
Vol 12 (03) ◽  
pp. 417-435 ◽  
Author(s):  
HUI HUANG
Keyword(s):  
Banach Spaces ◽  
Error Bounds ◽  
Sufficient Conditions ◽  
Higher Order ◽  
Global Error ◽  
Normal Cones ◽  
Set Constraints ◽  
Strongly Convex

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.

scholarly journals General Norm Inequalities of Trapezoid Type for Fréchet Differentiable Functions in Banach Spaces

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1288
Author(s):  
Silvestru Sever Dragomir
Keyword(s):  
Banach Spaces ◽  
Error Bounds ◽  
Norm Inequalities ◽  
Differentiable Functions ◽  
Fréchet Differentiable ◽  
General Norm

In this paper we establish some error bounds in approximating the integral by general trapezoid type rules for Fréchet differentiable functions with values in Banach spaces.

Global error bounds for the extended vertical LCP of B-type matrices

2021 ◽  
Vol 40 (4) ◽  
Author(s):  
Hehui Wang ◽  
Haibin Zhang ◽  
Chaoqian Li
Keyword(s):  
Error Bounds ◽  
Global Error

scholarly journals Global Error Bounds for Convex Conic Problems

2000 ◽  
Vol 10 (3) ◽  
pp. 836-851 ◽  
Author(s):  
Shuzhong Zhang
Keyword(s):  
Error Bounds ◽  
Global Error
Sign in / Sign up

Export Citation Format

Share Document