STUDIES ON GENERALISED UNSTABLE FUNCTIONS IN TOPOLOGICAL SPACES
DOI:
https://doi.org/10.29121/granthaalayah.v5.i4RAST.2017.3302Keywords:
Irresolute Functions and Contra g, Irresolute FunctionAbstract [English]
In this paper we bring in a new class of functions called g*Λ irresolute function and contra g*Λ irresolute function, where g*Λ irresolute function is a weaker form of g*Λ continuous function and contra g*Λ irresolute function is a weaker form of contra g*Λ continuous function.
Downloads
References
Arockiarani, K. Balachandranand J. Dontchev Some Characterizations of gp-irresolute and gp-continuous maps between topological spaces,Mem.Fac.Sci.Kochi Univ.(Math)20(1999),93-104.
J.Dontchev, contra-continuous functions and S-closed spaces, Int.J.Math.Math.Sci 19 (1996), 303-310. DOI: https://doi.org/10.1155/S0161171296000427
Francisco G Arenas, Julian Dontchev and MaxmillianGanster, On λ-sets and the dual of generalized continuity,Question answers GEN.Topology 15(1997)3-13
Jin Han Park,YongBeom Park and Bu Young Lee, On gp closed sets and pre gp continuous functions, Indian. J. pure appl. Math vol 3(1) :3-12, January 2002.
J.Dontchev and T. Noiri, contra-semicontinuous functions, Math Pan-nonica 10 (1999), 159-168.
H.Maki ,Generalised Λ-sets and the associated closure operator, The spe- cial issue in Commemoration Of Prof.Kazusada IKEDS Retirement,1 oct (1986),139-146.
Miguel Calda Cueva, S.Jafari and T.Noiri ,Weak and strong forms of irresolute maps,Internat.J.Math.and Math. Sci.,Vol.23,No.4,(2000),253-259. DOI: https://doi.org/10.1155/S0161171200001502
M.Caldas, S.Jafari andT.Noiri ,On Λ-generalised closed sets in topo- logical spaces,Acta Math. Hungar,118(4)(2008),337-34. DOI: https://doi.org/10.1007/s10474-007-6224-1
M.Caldas,andJafari, S,On some low separation axioms via λ open andλ closure operator.Rend.Circ.Mat.Di.Palermo 54,2 (2005),195-208. DOI: https://doi.org/10.1007/BF02874634
M.Caldas,S.Jafari and T.Navalgi,More on λ-closed sets in topological spaces, RevistaColombina de Mathematics,Vol 41 (2007) 2,355-369.
M.Caldas,Ekici,S.Jafari and Noiri,S,On the class of contra λ contin- uousfunctions.Ann.Univ.Sci.Budapest Sec Math 49(2006),75-86.
M.K.R.S.VeeraKumar,g*- Closed Sets in topological space, Mem. Fac, Sci.Kohi Univ.(Math),21(2000), 1-19.
M.K.R.S Veera Kumar, On gˆ closed sets in topological spaces, Bull Ala- habad.Soc18(2003)99-112.
N.Levine,Semi-open sets ans semi continuity in topological spaces,Amer.Math.Monthly,70(1963),36-41. DOI: https://doi.org/10.1080/00029890.1963.11990039
N.Levine, Generalized closed sets in topology,Rend.Circ.Mat.Palermo,19(1970),89-96. DOI: https://doi.org/10.1007/BF02843888
ParithoshBhattacharyya ANDB.K.Lahiri On semi generalized closed sets in topology, Indian Journal of Mathematics, Vol 29(1987)375-382.
P.Sundaram,H.Maki and K.Balachandran Semi-GeneralisedContin- uous Maps and Semi-T1/2 spaces,Bulletine of Fukuoka University of Educa- tion,vol,40,part III, 33-40(1991).
R Devi, H. Maki And K. Balachandran, Semi Gener-Alizedclosed Maps And Generalized semi Closed Maps, Mem.fac.kochi.univ.ser.a(math),14(1993).
SaeidJafari and Takashi Noiri,On contra-Precontinuous functions, Bull.MalaysianMath.Sc.Soc (second series)25(2002),115-128.
S.S.Benchalli g?-Pre Regular and g?-pre Normal spaces,internationalMathamatical Forum,4,2009,no.48,2399-2408.
S.P.Missier,Vijilius H Raj g*Λ closed sets in topological spaces Inter- national journal of General Topology Vol. 5,Nos 1-2 January-December 2012, pp. 33-44,0973-6471.
Downloads
Published
How to Cite
Issue
Section
License
With the licence CC-BY, authors retain the copyright, allowing anyone to download, reuse, re-print, modify, distribute, and/or copy their contribution. The work must be properly attributed to its author.
It is not necessary to ask for further permission from the author or journal board.
This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge.