A new fixed point theorem on demi-compact 1-set-contraction mappings. (English) Zbl 0592.47046

Li, Guozhen

Proc. Am. Math. Soc. 97, 277-280 (1986).

This paper gives a new fixed point theorem of demi-compact 1-set- contraction mappings in the norm form. This result is the best one of set-contraction mappings.

MSC:

47H07	Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces
47H10	Fixed-point theorems

Keywords:

fixed point theorem; demi-compact 1-set-contraction mappings in the norm form; set-contraction