The fixed-point index and the fixed-point theorems of 1-set-contraction mappings

Li, Guozhen

doi:10.1090/S0002-9939-1988-0969052-9

The fixed-point index and the fixed-point theorems of $1$-set-contraction mappings
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Proc. Amer. Math. Soc. 104 (1988), 1163-1170 Request permission

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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