You are here

Beta-Closed Spaces and (Beta-Theta) Subclosed graphs

Journal Name:

Publication Year:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
The purpose of this paper is to achieve various characterizations of -closed spaces [2], specially, in terms of new types of graphs under the terminology --subclosed graphs of functions and in terms of a generalized complete accumulation point. Apart from several properties, a sufficient condition for common fixed points of a family of functions having --subclosed graphs is also given.
40-50

REFERENCES

References: 

[1] M. E. Abd. El. Monsef, S. N. El-Deeb and R. A. Mahmoud, -open sets and -contnuous mappings,
Bull. Fac. Sci. Assiut Univ., 12(1) (1983), 77-90.
[2] M. E. Abd. El. Monsef, A. M. Kozae, Some generalized forms of compactness and closedness,
Delta J. Sci. 9(2), 1985, 257-269.
[3] T. Aho and T. Nieminen, Spaces in which preopen subsets are semiopen, Ricerche Mat., 43
(1994), 45-59.
[4] D. Andrijevi´c, Semi-preopen sets, Math. Vesnik, 38 (1986), 24-32.
[5] D. Andrijevi´c, On b-open sets, Math. Vesnik, 48 (1996), 59-64.
[6] Y. Beceren and T. Noiri, Some functions defined by semi-open and -open sets, Chaos Solitons
and Fractals, 36 (2008), 1225-1231.
[7] N. Bourbaki, Elements of Mathemtics, General Topology Reading, MA, Paris: Hermann,
Addition-Wesley Publishing Co., 1961, Part-I.
[8] J. Dontchev, M. Ganster and T. Noiri, On P-closed spaces, Internat. Jour. Math. Math. Sci. 24
(2000), 203-212.
[9] Z. Duszynski, On some concepts of weak connectedness of topological spaces, Acta. Math. Hungar.,
110(1-2), 2006, 81-90.
[10] S. Jafari and T. Noiri, Properties of -connected spaces, Acta Math. Hungar., 101 (3)(2003),
227-236.
[11] J. E. Joseph and M. H. Kwack, On S-closed spaces, Proc. Amer. Math. Soc. , 80 (1980), 341-348.
[12] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70
(1963), 36-41.
[13] G. DI Maio and T. Noiri, On s-closed spaces, Ind. J. Pure Appl. Math. 18 (3) (1987), 226-233.
[14] A. S. Mashhour, M. E. Abd El-Monsef and S. N. El-Deeb, On precontinuous and weak precontinuous
mappings, Proc. Math. Phys. Soc. Egypt, 53 (1982), 47-53.
[15] O. Njastad, On some classes of nearly open sets, Pacific Jour. Math., 15 (1965), 961-970.
[16] T. Noiri, Weak and strong forms of -irresolute functions, Acta Math. Hungar., 99, No. 4, 315-
328 (2003).
[17] T. Thompson, S-closed spaces, Proc. Amer. Math. Soc., 60 (1976), 335-338.

Thank you for copying data from http://www.arastirmax.com