SOME CHARACTERIZATIONS OF P-CONTINUITY AND NEW DECOMPOSITIONS

Document Type : Research and Reference

Author

Department of physics and Engineering Mathematics, Faculty of Engineering; Kafr Elsheikh University, Kafr Elsheikh, Egypt.

Abstract

The aim of this paper is to present the notion of relatively almost p-continuity and p*-continuity and we obtain some decomposition theorems of p-continuity by proving that,

A function ƒ: X→Y is p-continuous if and only if it is almost p-continuous and relatively almost p-continuous,
A function ƒ: X→Y is p-continuous if and only if it is almost p-continuous and relatively almost p-continuous p*-continuous.

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