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Fixed point theorems of discontinuous increasing operators and applications to nonlinear integro-differential equations

Published online by Cambridge University Press:  22 January 2016

Jinqing Zhang
Jinqing Zhang*
Affiliation:
Department of Basic Courses, Shandong Finance Institute, Jinan, Shandong, 250014, China
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Abstract

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In this paper, we obtain some new existence theorems of the maximal and minimal fixed points for discontinuous increasing operators in C[I,E], where E is a Banach space. As applications, we consider the maximal and minimal solutions of nonlinear integro-differential equations with discontinuous terms in Banach spaces.

Keywords

47H10
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 158 , December 2000 , pp. 73 - 86
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2000

References

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