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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 ...
Unconditional integrability with application to ergodic theorem
(ScienceDomain International, http://www.sciencedomain.org/, 2017-08-07)
We present a straightforward introduction to the unconditional integrability in the extended sense. We
state and proof useful necessary and sufficient conditions for unconditional integrability of complex or
real valued ...
Fundamental Theorem of Calculus in Topological Vector Spaces
(Journal of Mathematics Extension, 2017-10)
We extend the notions of integration and differentiation to cover the class of functions taking values in topological vector spaces. We give versions of the Lebesgue-Nikodym Theorem and the Fundamental Theorem of Calculus ...