Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 1996; 33(3): 575-585

Printed September 1, 1996

Copyright © The Korean Mathematical Society.

Coupled fixed point theorems with applications

S. S. Chang, Y. J. Cho, and N. J. Huang

Sichuan University, Gyeongsang National University, and Sichuan University

Abstract

In this paper, some existence theorems of coupled fixed points for mixed monotone operators are proved. As an application, we utilize our main results to show the existence of coupled fixed points for a class of non-linear integral operators.

Keywords: Coupled fixed point, demi-compact mapping, $k$-$\alpha$-set contraction, upper semi-closed set, generalized condensing mixed monotone operator

MSC numbers: 47H10, 54H25

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