A mesh-independence principle for nonlinear operator equations and their discretizations under mild differentiability conditions

Computing ◽  
1990 ◽  
Vol 45 (3) ◽  
pp. 265-268 ◽  
Author(s):  
I. K. Argyros
Keyword(s):  
Nonlinear Operator ◽  
Operator Equations ◽  
Nonlinear Operator Equations ◽  
Independence Principle ◽  
Mesh Independence ◽  
Mesh Independence Principle

A Mesh-Independence Principle for Operator Equations and Their Discretizations

1986 ◽  
Vol 23 (1) ◽  
pp. 160-169 ◽  
Author(s):  
E. L. Allgower ◽  
K. Böhmer ◽  
F. A. Potra ◽  
W. C. Rheinboldt
Keyword(s):  
Operator Equations ◽  
Independence Principle ◽  
Mesh Independence ◽  
Mesh Independence Principle

scholarly journals Iterations converging to distinct solutions of some nonlinear operator equations in Banach space

1986 ◽  
Vol 9 (3) ◽  
pp. 583-587
Author(s):  
Ioannis K. Argyros
Keyword(s):  
Banach Space ◽  
Linear Operator ◽  
Nonlinear Operator ◽  
Operator Equations ◽  
Nonlinear Operator Equations

We examine the solvability of multilinear equations of the formMk(x,x,…,x)−k   times−=y,   k=2,3,…whereMkis ak-linear operator on a Banach spaceXandy∈Xis fixed.

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