Almost strongly \(\theta\)-e-continuous functions

Volume 9, Issue 4, pp 1619--1635 http://dx.doi.org/10.22436/jnsa.009.04.19

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Authors

Murad Özkoç - Department of Mathematics, Faculty of Science, Muğla Sıtkı Koçman University, 48000 Menteşe-Muğla, Turkey. Burcu Sünbül Ayhan - Department of Mathematics, Faculty of Science, Muğla Sıtkı Koçman University, 48000 Menteşe-Muğla, Turkey.

Abstract

We introduce and investigate a new class of functions called almost strongly \(\theta\)-e-continuous functions, containing the classes of almost strongly \(\theta\)-precontinuous [J. H. Park, S. W. Bae, Y. B. Park, Chaos Solitons Fractals, 28 (2006), 32-41], almost strongly \(\theta\)-semicontinuous [Y. Beceren, S. Yüksel, E. Hatir, Bull. Calcutta Math. Soc., 87 (1995), 329-334] and strongly \(\theta\)-e-continuous functions [M. Özkoç, G. Aslım, Bull. Korean Math. Soc., 47 (2010), 1025-1036]. Several characterizations concerning almost strongly \(\theta\)-e-continuous functions are obtained. Also we investigate the relationships between almost strongly \(\theta\)-e- continuous functions and separation axioms and almost strongly e-closedness of graphs of functions.

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Keywords

• Almost strong \(\theta\)-e-continuity
• e-open
• e-\(\theta\)-open
• almost e-regular
• almost strongly e-closed.

MSC

•  54C08
•  54C10

References

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