一类递推数列的单调性与极限摘要:本文讨论了一类递推数列x二f(x)的单调性与收敛性问题,同时也n+1n推广与包含了近期一些文献中的结果.关键词:递推数列;单调性;不动点;收敛TheLimitsandMonotonicityofaRecursiveSequenceXIAYu-cheng(DepartmentofMathematicsandStatistics,Xiaoganuniversity,Xiaogan,Hubei432000,China)Abstract:Inthispaper,theresultsonthemonotonicityandconvergenceoftherecursivesequencex=f(x)insomeresentdocumentsaregiven,andthen,then+1nresultsaregeneralized.Keywords:recursivesequence;monotonicity;fixedpoint;convergence.1 引言及定义在近期的一些文献中,讨论了形如ax+b