We study some characterizations and properties of almost (μ, λ)-open functions. Some conditions are presented under which an almost (μ, λ)-open function is equivalent to a (μ, λ)-open function.
References
A. Al-Omari and T. Noiri, “A unified theory for contra-(μ, λ)-continuous functions in generalized topological spaces,” Acta Math. Hung., 135, 31–41 (2012).
M. Caldas, E. Ekici, S. Jafari, and R. M. Latif, “On weak BR-open functions and their characterizations in topological spaces,” Demonstr. Math., 44, No. 1, 159–168 (2011).
Á . Császár, “Generalized topology, generalized continuity,” Acta Math. Hung., 96, 351–357 (2002).
Á . Császár, “γ-connected sets,” Acta Math. Hung., 101, 273–279 (2003).
Á . Császár, “Separation axioms for generalized topologies,” Acta Math. Hung., 104, 63–69 (2004).
Á . Császár, “Generalized open sets in generalized topologies,” Acta Math. Hung., 106, 53–66 (2005).
Á . Császár, “δ- and θ-modifications of generalized topologies,” Acta Math. Hung., 120, 275–279 (2008).
Á . Császár, “On generalized neighborhood systems,” Acta Math. Hung., 121, 359–400 (2008).
Á . Császár, “Remarks on quasitopologies,” Acta Math. Hung., 119, 197–200 (2008).
Á . Császár, “Extremally disconnected generalized topologies,” Ann. Univ. Sci. Budapest, 47, 91–96 (2004).
E. Ekici, “Generalized hyperconnectedness,” Acta Math. Hung., 133, 140–147 (2011).
E. Ekici, “Generalization of weakly clopen and strongly θ-b-continuous functions,” Chaos, Solitons and Fractals, 38, 79–88 (2008).
Y. K. Kim and W. K. Min, “Remarks on enlargements of generalized topologies,” Acta Math. Hung., 130, 390–395 (2011).
W. K. Min, “Some results on generalized topological spaces and generalized systems,” Acta Math. Hung., 108, 171–181 (2005).
W. K. Min, “A note on θ(g, g′)-continuity in generalized topological spaces,” Acta Math. Hung., 125, 387–393 (2009).
B. Roy, “On a type of generalized open sets,” Appl. Gen. Topol., 12, 163–173 (2011).
B. Roy, “On faintly continuous functions via generalized topology,” Chinese J. Math., Article ID 412391, 6 p. (2013).
M. S. Sarsak, “Weakly μ-compact spaces,” Demonstr. Math., 45, No. 4, 929–938 (2012).
R.-X. Shen, “A note on generalized connectedness,” Acta Math. Hung., 122, 231–235 (2009).
Author information
Authors and Affiliations
Additional information
Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 10, pp. 1425–1430, October, 2014.
Rights and permissions
About this article
Cite this article
Roy, B. On Weakly (μ, λ)-Open Functions. Ukr Math J 66, 1595–1602 (2015). https://doi.org/10.1007/s11253-015-1035-y
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11253-015-1035-y