A Characterization of S_beta-continuous Fixed Point Property
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Abstract
In this paper, we define and investigate the continuous retraction and the
continuous fixed point property which apply the
continuity in (6). The study shown that, for the regular and locally indiscrete topological space
with the
continuous fixed point property, if a topology
for
is stronger than
and for every open subset
in
with the closure of
in
and the closure of
in
are equal, then
has the fixed point property.
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References
Adams CC, Franzosa RD. Introduction to topology pure and applied. New Jersey: Upper saddle river; 2008.
Cammarolo F, Noiri T. On the delta-continuous fixed point property. Int. J. Math. Math. Sci. 1990;13(1):45-50.
Connell EH. Property of fixed point spaces. Proc. Am. Math. Soc. 1959;10(3):974-979.
Dugundji J. Topology. Boston: Allyn and Bacon; 1966.
Jongrak A. Some properties of S_beta-open Mappings. The proceedings of annual meeting in mathematics. 2017;22:TPO031-035.
Khalaf AB, Ahmed NK. S_beta-open sets and S_beta-continuity in topological spaces. Thai J. Math. 2013;11(2):319-335.
Levine N. Semi-open sets and semi-continuity in topological spaces. Am. Math. Mon. 1963;29(70):36-4.
Monsef ME, Deeb SN, Mahmooud RA. beta-open sets and beta-continuous mappings. Bullentin of the Faculty of Science, Assiut University. 1983;12(1):77-90.
Puturong N. On strongly theta-semi- continuous functions. Thai J. Math. 2007;5(3):11-23.