Bochner Integral in Quasilinear Metric Spaces.
Mohamad Muslikh

Universitas Brawijaya

Abstract

In this paper, we introduced the notion of Bochner integral in quasilinear metric spaces. This definition like the Bochner integral of Banach valued functions, but this definition more broadly covers integral of set-valued functions. Some results showed also in this paper such as linearity property of the Bochner integrable of functions and so on.

Keywords: Quasilinear, Hausdorff metric, measurable sets, Bochner Integral

Topic: Minisymposia Measure and Integration Theory