On approximate solution of nonlinear operator equations

1998 ◽  
Vol 39 (5) ◽  
pp. 1017-1025
Author(s):  
V. P. Tanana
Keyword(s):  
Approximate Solution ◽  
Nonlinear Operator ◽  
Operator Equations ◽  
Nonlinear Operator Equations

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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