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Ordered vector valued double sequence spaces

Dey R., Das N. R., Tripathy B. C.

Fasciculi Mathematici

2015

Nr 55

29--34

In this paper we have introduced an order relation on convergent double sequences and have constructed an ordered vector space, Riesz space, order complete vector space in case of double sequences. We have verified the Archimedean property.

On connected functions in ordered spaces

Jędrzejewski J.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2010

Vol. 15

51--58

We consider some properties of functions defined in a topological space X with values in a topological space Y. The definitions 1, 2 and 3 define the same class of functions when X and Y are equal to R with natural topology. In this article we discuss some properties of those classes and give some sufficient conditions for the space X in which real functions defined in X form the same class.