This is an announcement for the paper "Cone monotone mappings: continuity and differentiability" by Jakub Duda.
Abstract: We generalize some results of Borwein, Burke, Lewis, and Wang to mappings with values in metric (resp. ordered normed linear) spaces. We define two classes of monotone mappings between an ordered linear space and a metric space (resp. ordered linear space): $K$-monotone dominated and cone-to-cone monotone mappings. First we show some relationships between these classes. Then, we study continuity and differentiability (also in the metric and $w^*$ senses) of mappings in these classes.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46T20; 26B25
Remarks: 13 page; better abstract
The source file(s), domdif_prep.tex: 55009 bytes, is(are) stored in gzipped form as 0510678.gz with size 16kb. The corresponding postcript file has gzipped size 56kb.
Submitted from: jakub.duda@weizmann.ac.il
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