Error bounds for convex differentiable inequality systems in Banach spaces

2005 ◽  
Vol 104 (2-3) ◽  
pp. 465-482 ◽  
Author(s):  
Huynh van Ngai ◽  
Michel Théra
Keyword(s):  
Banach Spaces ◽  
Error Bounds ◽  
Inequality Systems

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.

Nonlinear error bounds for quasiconvex inequality systems

2015 ◽  
Vol 11 (1) ◽  
pp. 107-120 ◽  
Author(s):  
Satoshi Suzuki ◽  
Daishi Kuroiwa
Keyword(s):  
Error Bounds ◽  
Nonlinear Error ◽  
Inequality Systems ◽  
Nonlinear Error Bounds

scholarly journals Semi-Iterative Method for Computing the Generalized InverseAT,S(2)

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Xiaoji Liu ◽  
Caijing Jiang
Keyword(s):  
Iterative Method ◽  
Banach Spaces ◽  
Error Bounds ◽  
Generalized Inverse

The main aim of this paper is to compute the generalized inverseAT,S(2)over Banach spaces by using semi-iterative method and to present the error bounds of the semi-iterative method for approximatingAT,S(2).

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