On Certain Types of Functions via Generalized Open Sets

Bishwambhar Roy

doi:10.1515/tmmp-2016-0011

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On Certain Types of Functions via Generalized Open Sets

Tatra Mountains Mathematical Publications

Volume 65 (2016): Issue 1 (March 2016)

By: Bishwambhar Roy

Open Access

|Aug 2016

Abstract

The aim of this paper is to introduce some new classes of functions termed as somewhat (μ, λ)-continuous functions, somewhat (μ, λ)-open functions and hardly (μ, λ)-open functions. Some properties of these newly defined functions are discussed in this paper. Relationships among these functions are also being studied.

References

[1] BAYHAN, S.-KANIBIR, A.-REILLY, I. L.: On decompositions of generalized continuity, Tatra Mt. Math. Publ. 58 (2014), 37-45.
Search in Google Scholar
[2] BORSÍK, J.: Generalized oscillations for generalized continuities, Tatra Mt. Math. Publ. 49 (2011), 119-125.
Search in Google Scholar
[3] CSÁSZÁR, Á.: Generalized topology, generalized continuity, Acta Math. Hungar. 96 (2002), 351-357.10.1023/A:1019713018007
Search in Google Scholar
[4] CSÁSZÁR, Á.: Generalized open sets in generalized topologies, Acta Math. Hungar. 106 (2005), 53-66.10.1007/s10474-005-0005-5
Search in Google Scholar
[5] CSÁSZÁR, Á.: δ- and θ-modifications of generalized topologies, Acta Math. Hungar. 120 (2008), 275-279.10.1007/s10474-007-7136-9
Search in Google Scholar
[6] EKICI, E.: Generalized hyperconnectedness, Acta Math. Hungar. 133 (2011), 140-147.10.1007/s10474-011-0086-2
Search in Google Scholar
[7] GENTRY, K. R.-HOYLE, H. B.: Somewhat continuous functions, Czechoslovak Math. J. 21 (1971), 5-12.10.21136/CMJ.1971.100999
Search in Google Scholar
[8] MIN, W. K.: Some results on generalized topological spaces and generalized systems, Acta Math. Hungar. 108 (2005), 171-181.10.1007/s10474-005-0218-7
Search in Google Scholar
[9] PAVLOVIĆ, V.-CVETKOVIĆ, A. S.: On generalized topologies arising from mappings, Bull. Iranian Math. Soc. 38 (2012), 553-565.
Search in Google Scholar
[10] ROY, B.: On a type of generalized open sets, Appl. Gen. Topol. 12 (2011), 163-173.
Search in Google Scholar
[11] ROY, B.: On weakly (μ, λ)-open functions, Ukrainian Math. J. 66 (2015), 1595-1602.10.1007/s11253-015-1035-y
Search in Google Scholar
[12] SHEN, R. X.: A note on generalized connectedness, Acta Math. Hungar. 122 (2009), 231-235.10.1007/s10474-008-8009-6
Search in Google Scholar

Articles in this issue

DOI: https://doi.org/10.1515/tmmp-2016-0011 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 135 - 142

Submitted on: Nov 11, 2015

Published on: Aug 4, 2016

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

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© 2016 Bishwambhar Roy, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 65 (2016): Issue 1 (March 2016)