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A certain fixed point theorem and its applications to integral-functional equations

Published online by Cambridge University Press:  17 April 2009

M. Zima
M. Zima
Affiliation:
Department of Mathematics Pedagogical, University of Rzeszów, Rzeszów, Poland
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Abstract

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In this paper a variant of Banach's contraction principle is established. By using the properties of the spectral radius of a bounded linear operator A defined in a suitable Banach space, we conclude that another operator A has exactly one fixed point in this space. In the second part of this paper some applications are given.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 46 , Issue 2 , October 1992 , pp. 179 - 186
Copyright
Copyright © Australian Mathematical Society 1992

References

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