ISSN:
1573-2878
Keywords:
Polynomial operators
;
nonlinear equations
;
fixed points
;
contraction mapping principle
;
successive approximation
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract A concept of generalized polynomial operators is considered, and a fixed-point problem with these operators is posed. The existence of a fixed point, with a minimum norm property, is stated and a power series representation is obtained. Problems of this kind appear, for instance, in some two-point boundary-value problems in optimal control.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00935534
Permalink