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Quasi δ-β-continuous functions

Rajesh N., Caldas M., Jafari S., Moshokoa S. P.

Fasciculi Mathematici

2011

Nr 46

105--113

The aim of this paper is to introduce and characterize a new class of functions called quasi-δ-β-continuous functions in ideal topological spaces by using δ-β-open sets.

More on almost contra λ-continuous functions

Baker C. W., Caldas M., Jafari S., Moshokoa S. P.

Fasciculi Mathematici

2009

Nr 42

17-28

In 1996, Dontchev [14] introduced and investigated a new notion of non-continuity called contra-continuity. Recently, Baker et al. [6] offered a new generalization of contra-continuous functions via λ-closed sets, called almost contra λ-continuous functions. It is the objective of this paper to further study some more properties of such functions.

The Hausdorff metric and its extensions

Moshokoa S. P.

Demonstratio Mathematica

2002

Vol. 35, nr 2

233-241

We consider a complete metric space (X,p) such that closed balls are compact. The paper is devoted to the Hausdorff distance d denned on 5R, the space of all nonempty compact subsets of X.