J. Korean Math. Soc. 2008; 45(6): 1725-1740
Printed November 1, 2008
Copyright © The Korean Mathematical Society.
Huagui Duan, Shaoyuan Xu, and Guozhen Li
Nankai University,Hubei Normal University, and Jiangxi Normal University
In this paper, we introduce a fixed point index of weakly inward 1-set-contraction mappings. With the aid of the new index, we obtain some new fixed point theorems, nonzero fixed point theorems and multiple positive fixed points for this class of mappings. As an application of nonzero fixed point theorems, we discuss an eigenvalue problem.
Keywords: fixed point index, weakly inward 1-set-contraction mapping, fixed point
MSC numbers: 28A78, 28A80
2017; 54(1): 17-33
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