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Measures of semi-noncompactness and $$AM$$-mappings. (English) Zbl 0743.47040
Miniconference on operators in analysis, Proc. Miniconf., Sydney/Australia 1989, Proc. Cent. Math. Anal. Aust. Natl. Univ. 24, 38-46 (1990).
Summary: [For the entire collection see Zbl 0699.00025.]
We define measures of semi-noncompactness in a locally convex topological linear space with respect to a given seminorm, and give some simple properties, including a fixed point theorem for a certain class of condensing mappings.
##### MSC:
 47H09 Contraction-type mappings, nonexpansive mappings, $$A$$-proper mappings, etc. 47H10 Fixed-point theorems 46A40 Ordered topological linear spaces, vector lattices 47B65 Positive linear operators and order-bounded operators