Theta - ω - Mappings in Topological Spaces

Author:

Latif Raja Mohammad1

Affiliation:

1. Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664 Al Khobar, KINGDOM OF SAUDI ARABIA

Abstract

In 2017 S. Ghour and B. Irshedat defined the θω - closure operator as a new topological operator and introduced θω - open sets as a new class of sets and proved that this class of sets is strictly between the class of open sets and the class of θ - open sets. In this paper we introduce θω - continuous, θω - irresolute, θω - open, θω - closed, pre - θω - open, θω - pre closed, contra θω - continuous and almost contra θω - continuous mappings and investigate properties and characterizations of these new types of mappings in topological spaces.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

Reference39 articles.

1. Samer Al-Ghour, Bayan Irshedat, The Topology of Θω-open Sets, Filomat (Faculty of Sciencees and Mathematics, University of Nis, Serbia) 31:16 (2017), 5369 – 5377.

2. H.H. Aljarrah, M.S. Noorani and T. Noiri, Contra ωβ-continuity, Bol. Soc. Paran. Mat,,Volume 32 No.2 (2014), 9 – 22.

3. K. Al-Zoubi, K. Al-Nashef, The topology of ω-open subsets, Al- Al-Manarah Journal 9 (2003) 169 – 179.

4. S.P. Arya and M. Deb, On θ-continuous mappings, Math. Student 42(1974), 81-89.

5. C.W. Baker, On θ-C open sets, Int. J. Math. Math. Sci. 15(1992), no. 2, 255-259.

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