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http://dx.doi.org/10.4134/JKMS.2008.45.6.1725

FIXED POINTS OF WEAKLY INWARD 1-SET-CONTRACTION MAPPINGS  

Duan, Huagui (SCHOOL OF MATHEMATICAL SCIENCE AND LPMC NANKAI UNIVERSITY)
Xu, Shaoyuan (SCHOOL OF MATHEMATICS AND STATISTICS HUBEI NORMAL UNIVERSITY)
Li, Guozhen (SCHOOL OF MATHEMATICS AND INFORMATION SCIENCE JIANGXI NORMAL UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.45, no.6, 2008 , pp. 1725-1740 More about this Journal
Abstract
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
point index; weakly inward 1-set-contraction mapping; fixed point;
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