简介:Iteratedfunctionsystems(IFS)wereintroducedbyHutchinsonin1981asanaturalgeneralizationofthewell-knownBanachcontractionprinciple.In2010,D.R.SahuandA.ChakrabortyintroducedK-IteratedFunctionSystemusingKannanmappingwhichwouldcoveralargerrangeofmappings.Inthispaper,followingHutchinson,D.R.SahuandA.Chakraborty,wepresentsomenewiteratedfunctionsystemsbyusingtheso-calledgeneralizedcontractivemappings,whichwillalsocoveralargerangeofmappings.OurpurposeistoprovetheexistenceanduniquenessofattractorsforsuchclassofiteratedfunctionsystemsbyvirtueofaBanach-likefixedpointtheoremconcerninggeneralizedcontractivemappings.
简介:Inthispaper,usingthecontextofcompletepartialmetricspaces,somecommonfixedpointresultsofmapsthatsatisfythegeneralized(φ,ψ)-weakcontractiveconditionsareobtained.Ourresultsgeneralize,extend,unify,enrichandcomplementmanyexistingresultsintheliterature.Examplearegivenshowingthevalidatyofourresults.
简介:这份报纸的主要目的是为所谓的1集合为非线性的操作符方程F(x)=x(1)证明许多新固定的点定理和存在定理弱有收缩力的在Banach空格的无界的域上的操作符。我们也在起源介绍弱关上半的操作员的概念并且为操作员的如此的班为非线性的操作员方程F(x)=x(1)获得一系列新固定的点定理和存在定理。作为后果,主要结果概括并且改进相关结果,它被ORegan和A·本·阿马和M获得。在1998和2009的Mnif分别地。另外,我们得到Leray-Schauder,Altman,Petryshyn和Rothe的定理在情况中打的著名的固定的点弱顺序连续,1集合弱有收缩力(????湡捡???????????猠'T灳捡??ü
简介:AclassΦof5-dimensionalfunctionswasintroducedandanexistenceanduniquenessofcommonfixedpointsforafamilyofnon-selfmappingssatisfyingaφiquasi-contractiveconditionandacertainboundaryconditionwasgivenoncompletemetricallyconvexmetricspaces,andfromwhich,moregeneraluniquecommonfixedpointtheoremswereobtained.Ourmainresultsgeneralizeandimprovemanysametypecommonfixedpointtheoremsinreferences.