A new classes of open mappings

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DOI:

https://doi.org/10.26637/mjm102/003

Abstract

The aim of this paper is to introduce new classes of mappings namely \(\hat{\Omega}\)-open mappings, somewhat \(\hat{\Omega}\) open functions and hardly \(\hat{\Omega}\)-open mappings by utilizing \(\hat{\Omega}\)-closed sets. Also investigate some of their properties.

Keywords:

\(\hat{\Omega}\)-closed sets, \(\hat{\Omega}\) dense set, \(\hat{\Omega}\)-open mappings

Mathematics Subject Classification:

57C05
  • M. Lellis Thivagar School of Mathematics, Madurai Kamaraj University, Madurai-625021, Tamil Nadu, India.
  • M. Anbuchelvi Department of Mathematics, V.V. Vannniaperumal College for Women, Virudhunagar-626001, Tamil Nadu, India.
  • Pages: 18-28
  • Date Published: 01-04-2013
  • Vol. 1 No. 02 (2013): Malaya Journal of Matematik (MJM)

S. P. Arya and R. Gupta, On Strongly Continuous Mappings, Kyungpook Math. J., 14(1974), 131-143.

S. Balasubramanian, et al, Slightly Continuous;Somewhat sg-continuous and Somewhat sg-open Functions, Int. Journal of Mathematical Archive, 3(6)(2012), 2194-2203.

S. S. Benchalli and Priyanka M. Bansali, Somewhat b-continuous and Somewhat b-open Functions in Topological Spaces, Int. Journal of Math. Analysis, 4(46)(2010), 2287-2296.

J. Dontchev and M. Ganster, On δ-generalized closed sets and T 3 4 -spaces, Mem. Fac. Sci. Kochi Univ.(Math.), 17(1996), 15-31.

E. Ekici, On δ-semiopen sets and a generalizations of functions, Bol. Soc. Paran. Mat., 23(1-2)(2005), 73-84. DOI: https://doi.org/10.5269/bspm.v23i1-2.7462

Karl R. Gentry and Hughes B. Hoyle,III., Somewhat continuous Functions, Czechoslovar Mathematical Journal, 21(1)(1971), 5-12. DOI: https://doi.org/10.21136/CMJ.1971.100999

Lellis M. Thivagar and M. Anbuchelvi, Note on Ω-closed sets in topological spaces, Mathematical Theory and Modelling, 2(9)(2012), 50-58. DOI: https://doi.org/10.9790/5728-0240915

Lellis M. Thivagar and M. Anbuchelvi, New spaces and Continuity via Ω-closed sets, (Submitted).

B. M. Munshi and D. S. Bassan, Super continuous function, Indian J.Pure. Appl. Math., 13(1982), 229-36.

T. Noiri, Super-continuity and some strong forms of continuity , Indian J. Pure. Appl. Math., 15(1984), 241-150.

A. L. Yougslova, Weakly Equivalent Topologies, Master’s Thesis, University of Georgia, Georgia, 1965.

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Published

01-04-2013

How to Cite

M. Lellis Thivagar, and M. Anbuchelvi. “A New Classes of Open Mappings”. Malaya Journal of Matematik, vol. 1, no. 02, Apr. 2013, pp. 18-28, doi:10.26637/mjm102/003.