轨道压缩映射的不动点定理(Ⅲ)

In this paper, we obtain several fixed point theorems for orbitally contractions and quasicontractions in a space (X,d,ρ) with two metrics d and ρ, and extend some main results of [1-9].In the next place, we obtain a common fixed point theorem for commuting selfmappings of the space (X,d,ρ). It unify and generalize some main results of [12-15].     

关于压缩型映射对的公共不动点——某些尚待解决的问题

Let S and T be Self-mappings of a Complete metric space (X,d), Suppose ST= TS and for each x∈X, the diameter of the set {T^rS^r′x}_r,r′∈ω is finite. We proveseveral new common fixed point theorems under very general Contractive typecondition of S and r. These theorems improve and extend some main results in thereferences given by us and locally answer some open problem in [1].     

COINCIDENCE THEOREMS INVOKING COMPOSITES OF ACYCLIC MAPPINGS AND APPLICATIONS

1IntroductionRecentlytherehaveappearedanumberofnewfixedpointtheoremsandcoincidencetheorexnsinvolvingsthcalledKakutanifactorizablemultifunctionsorcompositesofacyclicset-valuedmappingsdefinedonconvexsubsetsoftopologicalvectorspaces;forexample,see[1-3].Intheseresults,authorsassumethateitherthedoesnOfmappingiscompact,orthemappillgiscompact.Inthispaper,wefirstprovesomeverygeneralcoincidencetheoremsinvolvingtheclassVJofset-valuedmappings"lidernoncompactsettingwhichgeneralizesTheoremIofPark,Singha…     

没有紧性, 连续性和凹性的多准则对策的帕雷多平衡*

在本文中利用作者得到的一极小极大不等式,对不具有紧性,连续性和四性的多准则对策在拓扑矢量空间和自反Banach空间内证明了某些帕雷多平衡存在定理。     

乘积空间中非线性算子的极大极小不动点定理及迭代法*

本文研究了乘积空间中非线性算子的极大极小不动点和迭代法.作为我们结果的推论,一些耦合不动点定理被获得、它们推广了由郭大钧和Lankshmikantham获得的耦合不动点定理.(见Nonlinear Anal、11(1986),623-632)和由兰在[4]、[6]中获得的结果.     

广义强非线性拟补问题*

利用本文中的算法,我们证明了广义强非线性拟补问题解的存在性及由算法产生的迭代序列的收敛性,改进和发展了Noor,Chang-Huang等人的结果.此外,也给出了求广义强非线性拟补问题的近似解的另一更一般的迭代算法并证明了由此迭代格式获得的近似解收敛于此补问题的精确解.     

Iterative process for lipschitz local strictly pseudocontractive mappings

ＩＴＥＲＡＴＩＶＥＰＲＯＣＥＳＳＦＯＲＬＩＰＳＣＨＩＴＺＬＯＣＡＬＳＴＲＩＣＴＬＹＰＳＥＵＤＯＣＯＮＴＲＡＣＴＩＶＥＭＡＰＰＩＮＧＳＤｅｎｇＬｅｉ（邓磊）（ＣｈｏｎｇｑｉｎｇＴｅａｃｈｅｒ＇ｓＣｏｌｌｅｇｅ,Ｙｏｎｇｃｈｕａｎ,Ｃｈｏｎｇｑｉｎｇ）Ｄ...     

Fixed point index of ultimately compact set-valued mappings in Hausdorff locally convex spaces and its applications

The author defines a concept of fixed point index of ultimately compact set-valued mappings in Hausdorff locally convex spaces. Using this concept, the author establishes several nonzero fixed point theorems of set-valued -condensing mappings. These theorems extend some known results in [1,2,7,8,9].Projects Supported by the Science Fund of the Chinese Academy of Sciences     

Some coincidence theorems of set-valued mappings

Browder^[1] obtained the sharpened forms of the Schauder fixed point theorem. Many authors generalized Browder’s results in several aspects. Recently, H.M. Ko and K.K. Tan^[2,3] generalized Browder’s theorems to the coincidence theorems of set-valued mappings. In this paper, we also show some coincidence theorems oj set-valued mappings. They improve and generalize the important results in [1,2,3].     

一般随机不动点定理及其应用

在本文中我们得到了一个一般的随机不动点定理,推广了Engl[4,7]和Bocsan[8]的主要结果.这一定理的有用性在于目前由许多作者用特殊方法得到的随机不动点定理[1,4,5-13]均能利用我们的一般定理(定理1和系1,2)得到,最后给出了我们的定理对随机积分和微分方程的应用.