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Fixed point of sum for concave and convex operators with applications

Published online by Cambridge University Press:  17 April 2009

Li Bingyou
Li Bingyou
Affiliation:
Department of Mathematics, Hebei Teacher's University, SHIJAIZHUANG, China
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Abstract

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In this paper we study fixed points of sums of α-concave and (−α)-convex operators in γ-complete partially ordered linear spaces. As an application we obtain existence and uniqueness theorems for solutions of a certain type of nonlinear integral equation.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 37 , Issue 1 , February 1988 , pp. 81 - 87
Copyright
Copyright © Australian Mathematical Society 1988

References

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