Geodesic
The fixed point property in Musielak-Orlicz sequence spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 2, pp. 299-309

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In this paper, we give necessary and sufficient conditions for a point in a Musielak-Orlicz sequence space equipped with the Orlicz norm to be an {\bf H}-point. We give necessary and sufficient conditions for a Musielak-Orlicz sequence space equipped with the Orlicz norm to have the {\it Kadec-Klee} property, the uniform {\it Kadec-Klee} property and to be nearly uniformly convex. We show that a Musielak-Orlicz sequence space equipped with the Orlicz norm has the fixed point property if and only if it is reflexive.
Classification : 46B20, 46B45, 46E30, 47H10
Keywords: nearly uniformly convex; uniform Kadec-Klee property; Kadec-Klee property; Musielak-Orlicz sequence space; fixed point property 
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     title = {The fixed point property in {Musielak-Orlicz} sequence spaces},
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Thompson, H. Bevan; Cui, Yunan. The fixed point property in Musielak-Orlicz sequence spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 2, pp. 299-309. http://geodesic.mathdoc.fr/item/CMUC_2001__42_2_a6/