Kurzweil-Henstock Integral in Riesz spaces

Integration in Metric Semigroups

Author(s): Antonio Boccuto, Beloslav Riecan and Marta Vrabelova

Pp: 198-212 (15)

Doi: 10.2174/978160805003110901010198

* (Excluding Mailing and Handling)

Abstract

In this chapter we present a Kurzweil-Henstock-type integral for metric semigroup-valued functions, defined on (possibly unbounded) subintervals of the extended real line. An example of a metric semigroup which is not a group is the set of all fuzzy numbers.

Besides the elementary properties we prove a version of the Henstock lemma and some convergence theorems in this setting.

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