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2000 Fixed point theorems of discontinuous increasing operators and applications to nonlinear integro-differential equations
Jinqing Zhang
Nagoya Math. J. 158: 73-86 (2000).

Abstract

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.

Citation

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Jinqing Zhang. "Fixed point theorems of discontinuous increasing operators and applications to nonlinear integro-differential equations." Nagoya Math. J. 158 73 - 86, 2000.

Information

Published: 2000
First available in Project Euclid: 27 April 2005

zbMATH: 0964.47031
MathSciNet: MR1766574

Subjects:
Primary: 47H10
Secondary: 45G05, 45J05, 47N20

Rights: Copyright © 2000 Editorial Board, Nagoya Mathematical Journal

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Vol.158 • 2000
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