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A class of majorant functions for contractors and equations

Published online by Cambridge University Press:  17 April 2009

Mieczyslaw Altman
Mieczyslaw Altman
Affiliation:
Department of Mathematics, University of Newcastle, Newcastle, New South Wales and Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana, USA.
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Majorant functions for contractors can be defined in a natural war. Such a case is considered here in order to find iterative solutions of general equations in Banach spaces by means of contractors. A class of majorant functions is defined which contains in particular the linear majorant ones. Local and global existence and convergence theorems are proved.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 10 , Issue 1 , February 1974 , pp. 51 - 58
Copyright
Copyright © Australian Mathematical Society 1974

References

[1]Altman, M., “Inverse differentiability contractors and equations in Banach spaces”, Studia Math. 46 (1973), 1–15.Google Scholar
[2]Altman, Mieczyslaw, “Contractors with nonlinear majorant functions and equations in Banach spaces”, Bull. Un. Mat. Ital. (to appear).Google Scholar