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	1. On the strong convergence of an algorithm about firmly pseudo-demicontractive mappings for the split common fixed-point problem
	Chen Rudong,Sheng Delei
	Mathematics 14 April 2011
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	Abstract:Based on the very recent work by A Moudafi (2010 Inverse Problems 26), Censor and Segal (2009 J. Convex Anal.16) and our later results. We generalize the algorithm proposed by Moudafi to the class of firmly pseudo-demicontractive operators for the split common fixed-point problem in a Hilbert space and give the strong convergence theorem under approciate conditions. Our work improve and/or develop Moudafi, Censor and our recent results.
	TO cite this article:Chen Rudong,Sheng Delei. On the strong convergence of an algorithm about firmly pseudo-demicontractive mappings for the split common fixed-point problem[J].


	2. On super weakly compact convex sets and representation of ${m swcc}(X)^*$
	Cheng Lixin,Luo Zhenghua,Zhou Yu
	Mathematics 30 March 2011
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	Abstract:In this note, we give first that a characterization of super weakly compact convex sets of a Banach space $X$, namely, a sufficient and necessary condition for a closed bounded convex set $Ksubset X$ to be super weakly compact is that there exists a $w^$ lower semicontinuous seminorm $p$ with $pgeqsigma_Kequivsup_{xin K}langlecdot,x angle$ such that $p^2$ is uniformly Fr'echet differentiable on each bounded set of $X^$; and show then a representation theorem for the dual of the semigroup ${ m swcc}(X)$ consisting of all the nonempty super weakly compact convex sets of the space $X$.
	TO cite this article:Cheng Lixin,Luo Zhenghua,Zhou Yu. On super weakly compact convex sets and representation of ${m swcc}(X)^*$[OL].[30 March 2011] http://en.paper.edu.cn/en_releasepaper/content/4419358

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	3. On approximation by ∆- convex polyhedron support functions
	Cheng LiXin,Zhou Yu
	Mathematics 30 March 2011
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	Abstract:The classical Weierstrass theorem states that every continuous function f defined ona compact set K⊂Rn can be uniformly approximated by polynomials. In this paper we show firstthat it is again valid if K is a compact Housdorff metric space. We prove also that for any weak(w, resp.) continuous positively homogenous function f defined on a (dual, resp.) Banach space X (X, resp.) then for all ε>0 and for every weakly compact set K⊂X( w* compact set K⊂X), there exist ϕi ∈X ( X, resp.) for i=1,2,..., m,and ψj ∈ X* (X, resp.) for j=1,2,...,n such that\|f(x)−[(ϕ1∨ϕ2∨···∨ϕm)(x)−(ψ1∨ψ2∨···∨ψn)(x)]\|<ϵ uniformly for x∈K. Let cc(X) (wcc(X), reps.) be the norm semigroup consisting of all nonempty (weakly, resp.) compact convex sets of the space X. As its application, we give two representation theorems of the duals of cc(X) and wcc(X).
	TO cite this article:Cheng LiXin,Zhou Yu. On approximation by ∆- convex polyhedron support functions[OL].[30 March 2011] http://en.paper.edu.cn/en_releasepaper/content/4419355


	4. On the strong convergence of an algorithm about pseudo-demicontractive mappings for the split common fixed-point problem
	Sheng Delei,Chen Rudong
	Mathematics 28 March 2011
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	Abstract:Based on the very recent work by A Moudafi (2010 Inverse Problems 26 055007 (6pp)), Censor and Segal (2009 J. Convex Anal.16 587-600) and Xu's results. We extend their algorithms of demicontractive operators to the class of pseudo-demicontractive operators for the split common fixed-point problem in a Hilbert space and give the strong convergence theorem. Our results improve and/or develop Moudafi and Censor's results.
	TO cite this article:Sheng Delei,Chen Rudong. On the strong convergence of an algorithm about pseudo-demicontractive mappings for the split common fixed-point problem[J].


	5. Distortion of wreath product in Thompson's group F
	Wu Yan,Chen Xiaoman
	Mathematics 22 March 2011
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	Abstract:Distortion of subgroups in finitely generated groups is a topical subject in geometric group theory.Thompson's group F has important tools of reduced tree diagrams and reduced forest diagrams. Using the relationship between the word-metric with respect to the finite generating set {x0, x1}and the number of carets in thereduced tree diagram, the paper proves that the restricted wreath product F\|Zis a quasi-isometrically embedded subgroup of Thompson's group F.
	TO cite this article:Wu Yan,Chen Xiaoman. Distortion of wreath product in Thompson's group F[OL].[22 March 2011] http://en.paper.edu.cn/en_releasepaper/content/4416691


	6. On finite decomposition complexity of Thompson's group $F$
	Wu Yan,Chen Xiaoman
	Mathematics 23 February 2011
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	Abstract:Finite decomposition complexity m(FDC) is a large scale property of a metricspace. It generalizes finite asymptoticdimension and applies to a wide class of groups. To make the property quantitative, a countable ordinal "the complexity" can be defined for a metric spacewith FDC. This paper proves that the subgroup Z≀Z of Thompson's group F belongs to Dω exactly, where ω is the smallest infinite ordinal number. And it shows that F equipped with theword-metric with respect to the infinite generating set{x0,x1,...xn,...} does not have finitedecomposition complexity.
	TO cite this article:Wu Yan,Chen Xiaoman. On finite decomposition complexity of Thompson's group $F$[OL].[23 February 2011] http://en.paper.edu.cn/en_releasepaper/content/4411005


	7. Thompson's group $F$ and Linear group $GL_{infty}(ZZ)$
	Wu Yan,Chen Xiaoman
	Mathematics 21 February 2011
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	Abstract:Thepaper proves that there is an injective Lipschitz map $arphi:(F, d_{S})longrightarrow(H,d)$,where $F$ is the Thompson's group, $d_{S}$ is the word-metric of $F$ with respect to the finite generating set $S={x_{0}, x_{1}}$, $H$ is a subgroup of the linear group $GL_{infty}(ZZ)$ and $d$ is a metric of $H$.
	TO cite this article:Wu Yan,Chen Xiaoman. Thompson's group $F$ and Linear group $GL_{infty}(ZZ)$[OL].[21 February 2011] http://en.paper.edu.cn/en_releasepaper/content/4410900


	8. Common fixed points theorem for two multivalued mappings in cone metric spaces
	ZHOU Le,DENG Lei,SHEN Licheng
	Mathematics 11 December 2010
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	Abstract:In this paper, a new generalized contractive condition is introduced in metric space. By the condition and without the normality of the cone, the existence of common fixed points of multivalued mappings satisfying generalized contractive conditions in cone metric spaces is proved. These results extend some of the most general common fixed point theorems for two multivalued maps in cone metric spaces.
	TO cite this article:ZHOU Le,DENG Lei,SHEN Licheng. Common fixed points theorem for two multivalued mappings in cone metric spaces[OL].[11 December 2010] http://en.paper.edu.cn/en_releasepaper/content/4397038


	9. Entire Functions of Exponential-Type with Given Zeros
	Deng Guantie,Li Zhen
	Mathematics 17 September 2010
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	Abstract:In this paper, we consider some entire functions of exponential-type with given zeros, a kind of sequences of complex numbers in the right half-plane, and discuss the growth of the functions on the imaginary axis.
	TO cite this article:Deng Guantie,Li Zhen. Entire Functions of Exponential-Type with Given Zeros[OL].[17 September 2010] http://en.paper.edu.cn/en_releasepaper/content/4385977


	10. Variational Minimizing Parabolic Orbits for the Restricted 3-Body Problems
	Zhang,Shiqing
	Mathematics 01 April 2010
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	Abstract:The Least Action Principle is the simplest and the most nature rule in the world. Using variational minimizing methods and the implicit symmetries, we prove the existence of the odd symmetric parabolic orbit for the restricted 3-body problems with weak forces.
	TO cite this article:Zhang,Shiqing. Variational Minimizing Parabolic Orbits for the Restricted 3-Body Problems[OL].[ 1 April 2010] http://en.paper.edu.cn/en_releasepaper/content/41418

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