Weakly (σH, λ)-continuity in Generalized Topologies
Keywords:
Generalized topology, hereditary class, α-H-open, β-H-open, σ-H-open and (σH, λ)-continuity
Abstract
In this paper, we introduce and study the notions of weakly σ-H-open sets and weakly (σH, λ)-continuity in a hereditary generalized topological space. Also we prove that a function f : (X, µ, H) → (Y, λ) is (µ, λ)-continuous if and only if f is weakly (σH, λ)-continuous and strong (SH, λ)-continuous.
References
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A.Cs´asz´ar, Generalized open sets in generalized topologies, Acta Math. Hungar., 106(1-2)(2005), 53-66.
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A.Cs´asz´ar, Remarks on quasi topologies, Acta Math. Hungar., 119(1-2)(2008), 197-200.
R.Ramesh and R. Mariappan, Generalized open sets in hereditary generalized topological spaces, International Journal of Mathematical and computational Science, 5(2)(2015), 149-159.
M.Murugalingam, R.Ramesh and R.Mariappan, b-H-open sets and continuity via hereditary classes, International Journal of Mathematical Archive.
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R.Jamunarani and P. Jeyanthi, Regular sets in generalized topological spaces, Acta Math. Hungar., DOI:10.1007/s10474- 011-0179-7.
A.Cs´asz´ar, Modification of generalized topologies via hereditary classes, Acta Math. Hungar., 115(2007), 29-36.
A.Cs´asz´ar, Generalized open sets in generalized topologies, Acta Math. Hungar., 106(1-2)(2005), 53-66.
A.Cs´asz´ar, Weak structures, Acta Math. Hungar., (2010), 1-3.
D.Jankovic and T.R.Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97(1990), 295-310.
A.Cs´asz´ar, Remarks on quasi topologies, Acta Math. Hungar., 119(1-2)(2008), 197-200.
R.Ramesh and R. Mariappan, Generalized open sets in hereditary generalized topological spaces, International Journal of Mathematical and computational Science, 5(2)(2015), 149-159.
M.Murugalingam, R.Ramesh and R.Mariappan, b-H-open sets and continuity via hereditary classes, International Journal of Mathematical Archive.
Y.K.Kim and W.K.Kim, On operations Induced by Hereditary Classes on Generalized Topological Spaces, Acta Math. Hungar., 137(1-2)(2012), 130-138.
R.Jamunarani and P. Jeyanthi, Regular sets in generalized topological spaces, Acta Math. Hungar., DOI:10.1007/s10474- 011-0179-7.
How to Cite
R.Mariappan, & M.Murugalingam. (2016). Weakly (σH, λ)-continuity in Generalized Topologies. International Journal of Current Research in Science and Technology, 2(2), 1-8. Retrieved from https://crst.gfer.org/index.php/crst/article/view/64
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