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Keywords:
nearly uniformly convex; uniform Kadec-Klee property; Kadec-Klee property; Musielak-Orlicz sequence space; fixed point property
nearly uniformly convex; uniform Kadec-Klee property; Kadec-Klee property; Musielak-Orlicz sequence space; fixed point property
Summary:
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.
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