K.P.R. RAO, K.Bhanu LAKSHMİ, N. Srinivasa RAO

Common ﬁxed and coincidence point theorems for maps in Menger space with Hadzic type t-norm

Inthispaper,weobtainauniquecommonﬁxedpointtheoremfortwoweaklycompatiblemappingsinaMengerspaceandalsoobtainacommoncoincidencepointtheoremfortwohybridpairsofmappings.

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[1]Choudhury,B.S.andDas,Krishnapada.AnewcontractionprincipleinMengerspaces, ActaMathematicaSinica,EnglishSeries,24(8),(2008),1379-1386.
[2]Choudhury,B.S.,Das,K.andDutta,P.N.,AﬁxedpointresultinMengerspacesusingareal function,ActaMath.Hungarica,122(3),(2009),203-216.
[3]Dutta,P.N.,Choudhury,B.S.andDas,K.,SomeﬁxedpointresultsinMengerspacesusinga controlfunction,SurveysinMathematicsanditsapplications,4,(2009),41-52.
[4]Hadzic,O.On ( ? − λ) -topologyinprobabilisticlocallyconvexspaces,GlasnikMatem13 (33),(1978),193-297. [5]Jungck,GandRhoades,B.E.,Fixedpointsforsetvaluedfunctionswithoutcontinuitycon- dition,Indian.J.Pure.Appl.Math.,29(3),(1998),227-238.
[6]Menger,K.Statisticalmetrics,Proc.oftheNationalAcademyofSciencesoftheUnited StatesofAmerica,28,(1942),535-537.
[7]Mihet,D,AlteringdistancesinprobabilisticMengerspaces,NonlinearAnal.,71,(2009),2734- 2738.
[8]Sastry,K.P.R.,Babu,G.V.R.andSandhya,M.L.FixedpointtheoremsinMenger spacesforacontractivemapundertheinﬂuenceofanalteringdistacefunctionof type(S)(Communicated). [9]Schweizer,B.andSklar,A.Statisticalmetricspaces,PaciﬁcJ.Math.,10(1960),313-334.
[10]Sehgal,V.M.andBharucha-Reid,A.T.Fixedpointsofcontractionmappingsonproba- bilisticmetricspaces,Math.Systemstheory,6(1972),97-102.

Hacettepe Journal of Mathematics and Statistics-Cover

Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

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