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Now showing items 11-15 of 15

#### Extensions of the Lusin's Theorem, the Severini-Egorov's Theorem and the Riesz Subsequence Theorems

(ScienceDomain International; www.sciencedomain.org, 2016-10-14)

We give extensions of the Lusin’s Theorem, the Severini-Egorov’s Theorem, and the Riesz Subsequence Theorems to the setting of a non-additive vector valued set functions and sequences of functions taking values in general ...

#### On size function topology and fixed point theorems

(International Scientific Publications and Consulting Services, http://www.ispacs.com/about.php, 2017-06)

In this paper, we introduce and study a metric-like (non-necessarily metric) topology that is weaker than the original topology of a given topological space. The results are used to provide more useful and more general ...

#### On cartesian nets and fubini-tonelli type theorem

(International Journal of Applied Physics and Mathematics, http://www.ijapm.org/, 2017-04)

The notion of Cartesian net is introduced in order to provide an appropriate setting for the notion of double limit for directed functions defined on Cartesian products of spaces. As an application, we obtain extensions ...

#### On the Riesz representation theorem and integral operators

(NISC (Pty) Ltd, http://www.nisc.co.za/, 2015-12-14)

We present a Riesz representation theorem in the setting of extended integration theory as introduced in [6]. The result is used to obtain boundedness theorems for integral operators in the more general setting of spaces ...

#### A unified approach to integration theory

(International Journal of Applied Physics and Mathematics, www.ijapm.org/, 2019-01)

We investigate the common features and the resemblance of the central parts of the different existing integration theories to obtain a more unified approach to the notion of integral. Our approach gives a presentation of ...