Strong Insertion of a Contra-Continuous Function between Two Comparable Contra-α−Continuous (Contra-C−Continuous) Functions
DOI:
https://doi.org/10.5281/zenodo.10441177Keywords:
Insertion, Strong binary relation, C−open set, Semi-preopen set, α−open set, Contra-continuous function, Lower cut setAbstract
Necessary and sufficient conditions in terms of lower cut sets are given for the strong insertion of a contra-continuous function between two comparable real-valued functions on such topological spaces that the kernel of sets are open.
References
Al-Omari, A. and Noorani, M. M. (2009). Some properties of contrabcontinuous and almost contra-b-continuous functions. European J. Pure. Appl. Math 2, 213–230.
Brooks, F. (1971). Indefinite cut sets for real functions. Amer. Math. Monthly 78, 1007–1010.
Caldas, M. and Jafari, S. (2001). Some properties of contra - β - continuous functions. Mem. Fac. Sci. Kochi. Univ. 22, 19–28.
Dontchev, J. (1995). The characterization of some peculiar topological space via α - and β-sets. Acta Math. Hungar 69, 1–2.
Dontchev, J. (1996). Contra-continuous functions and strongly S-closed space. Intrnat. J. Math. Math. Sci., 19, 303–310.
Dontchev, J. (1998). Between α - and β-sets. Math. Balkanica (N.S) 12, 295–302.
Dontchev, J. and Maki, H. (1997). On sg-closed sets and semi-λ x-closed sets. Questions Answers Gen. Topology 15, 259–266.
Ekici, E. (2004). On contra-continuity. Annales Univ. Sci. Bodapest 47, 127–137.
Ekici, E. (2008). New forms of contra-continuity. Carpathian J. Math., 24, 37–45.
El-Magbrabi, A. (2010). Some properties of contra-continuous mappings. Int. J. General Topol., 3, 55–64.
Ganster, M. and Reilly, I. (1990). A decomposition of continuity. Acta Math. Hungar., 56, 299–301.
Hatir, E., Noiri, T. and Yksel, S. (1996). A decomposition of continuity. Acta Math. Hungar., 70, 145–150.
Jafari, S. and Noiri, T. (2001). Contra-continuous function between topological spaces. Iranian Int. J. Sci., 2, 153–167.
Jafari, S. and NoiriT. (2002). On contra-precontinuous functions. Bull. Malaysian Math. Sc. Soc., 25, 115–128.
Katetov, M. (1951). On real-valued functions in topological spaces. Fund. Math., 38, 85–91.
Katetov, M. (1953). Correction to, ”On real-valued functions in topological spaces. Fund. Math., 40, 203–205.
Lane, E. (1976). Insertion of a continuous function. Pacific J. Math., 66, 181–190.
Maheshwari, S. and Prasad, R. (1975). On ROs-spaces. Portugal. Math., 34, 213–217.
Downloads
Published
License
Copyright (c) 2023 Forefront Journal of Engineering & Technology
This work is licensed under a Creative Commons Attribution 4.0 International License.