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On the solvability of nonlinear noncompact operator equations

Part of: Nonlinear operators and their properties

Published online by Cambridge University Press:  09 April 2009

E. U. Tarafdar ,
H. B. Thompson  and
R. O. Vyborny
E. U. Tarafdar
Affiliation:
Department of Mathematics, University of Queensland, St. Lucia, Queensland, Australia 4067
H. B. Thompson
Affiliation:
Department of Mathematics, University of Queensland, St. Lucia, Queensland, Australia 4067
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Abstract

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The notion of (p, k)-epi mappings is introduced. The properties of such mappings are studied and the results obtained are applied to some differential equations.

Keywords

admissible mappingp-epi(p, k)-epik-set contractionmeasure of unsolvability

MSC classification

Secondary: 47H10: Fixed-point theorems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 43 , Issue 1 , August 1987 , pp. 103 - 126
Copyright
Copyright © Australian Mathematical Society 1987

References

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