J. Korean Math. Soc. 1996; 33(3): 575-585
Printed September 1, 1996
Copyright © The Korean Mathematical Society.
S. S. Chang, Y. J. Cho, and N. J. Huang
Sichuan University, Gyeongsang National University, and Sichuan University
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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