arXiv:math/0510678 Abstract

arXiv:math/0510678 [math.FA]Abstract References Reviews Resources

Cone monotone mappings: continuity and differentiability

Published 2005-10-31, updated 2005-12-14Version 2

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.

Comments: 13 pages; updated version

Categories: math.FA

Subjects: 46T20, 26B25

Keywords: differentiability, ordered linear space, cone-to-cone monotone mappings, metric space, study continuity

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