STUDIES ON GENERALISED UNSTABLE FUNCTIONS IN TOPOLOGICAL SPACES

Vijilius Helena Raj; G. Srinivasa

doi:10.29121/granthaalayah.v5.i4RAST.2017.3302

Authors

L. Vijilius Helena Raj New Horizon College of Engineering, Outer Ring Road,Marathahalli, Bangalore, 560 103, India
G. Srinivasa New Horizon College of Engineering, Outer Ring Road,Marathahalli, Bangalore, 560 103, India

DOI:

https://doi.org/10.29121/granthaalayah.v5.i4RAST.2017.3302

Keywords:

Irresolute Functions and Contra g, Irresolute Function

Abstract [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

Download data is not yet available.

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.