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The Fixed-Point Index and the Fixed-Point Theorems of 1-Set-Contraction Mappings

Li Guozhen
Proceedings of the American Mathematical Society
Vol. 104, No. 4 (Dec., 1988), pp. 1163-1170
DOI: 10.2307/2047608
Stable URL: http://www.jstor.org/stable/2047608
Page Count: 8
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
The Fixed-Point Index and the Fixed-Point Theorems of 1-Set-Contraction Mappings
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Abstract

W. V. Petryshyn [1] studied the fixed-point theorem of 1-set-contraction mappings. This paper gives the definition of the fixed-point index of 1-set-contraction mappings and the concept of semiclosed 1-set-contraction mappings; then we obtain some fixed-point theorems about it.

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