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	1. On the Coincidence ofCertain Approaches to Smoothness Spaces Related to Morrey Spaces
	Yuan Wen,WINFRIED SICKEL,Yang Dachun
	Mathematics 18 May 2013
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	Abstract:In this paper,we compare the recent approach of Hans Triebelto introduce smoothness spacesrelated to Morrey-Campanato spaceswith Besov type and Triebel-Lizorkin type spaces.These two scales have been introduced some years ago and representa further variant to measure smoothness by using Morrey spaces.
	TO cite this article:Yuan Wen,WINFRIED SICKEL,Yang Dachun. On the Coincidence ofCertain Approaches to Smoothness Spaces Related to Morrey Spaces[OL].[18 May 2013] http://en.paper.edu.cn/en_releasepaper/content/4544083


	2. Maximal regularity for second order degenerate differential equations in vector-valued functional spaces
	Shangquan Bu,Gang Cai
	Mathematics 09 April 2013
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	Abstract: The purpose of this paper is to study the existence and uniqueness of periodic solutions to the second order degenerate differential equation [(P_2): (Mu)''(t)=Au(t)+f(t), (0leq tleq 2pi)]with periodic boundary conditions $ Mu(0)=Mu(2pi),(Mu)'(0)=(Mu)'(2pi)$, in periodic Lebesgue-Bochner spaces $L^p(mathbb{T},X)$ , periodic Besov spaces $B_{p,q}^s(mathbb{T},X)$ and periodic Triebel-Lizorkin spaces $F_{p,q}^s(mathbb{T},X)$, where $A$ and $M$ are two closed linear operators in a Banach space satisfying $D(A)subset D(M)$. We use operator-valued Fourier multiplier techniques to obtain necessary and sufficient conditions to guarantee the existence and uniqueness of $(P_2)$.
	TO cite this article:Shangquan Bu,Gang Cai. Maximal regularity for second order degenerate differential equations in vector-valued functional spaces[OL].[ 9 April 2013] http://en.paper.edu.cn/en_releasepaper/content/4536926

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	3. Positive solution for a class of nonlinear fourth-order singular semipositone problem
	Zhaocai Hao, Shanbao Hu
	Mathematics 08 December 2012
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	Abstract:Reviews: We study the existence of positive solutions of a Sturm-Liouville boundary valueproblem for fourth-order nonlinear singular semipositone differential equations. By the fixed point theorem,the existence of the positive solutions is established. An example is given to demonstrate the application of our main results.This work extends and complements some results in the literature on this topic.
	TO cite this article:Zhaocai Hao, Shanbao Hu. Positive solution for a class of nonlinear fourth-order singular semipositone problem[OL].[ 8 December 2012] http://en.paper.edu.cn/en_releasepaper/content/4498574


	4. ξ-Lie derivable maps and generalized ξ-Lie derivable maps on standard operator algebras
	Liu Lei ,Ji Guoxing
	Mathematics 28 April 2012
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	Abstract:Let X be a Banach space over the real or complex field F and A⊆B(X) be a standard operator algebra.We prove that a ξ-Lie derivable map δ on A is the sum of an additive derivation and a map from A to F vanishing all commutators when ξ=1; is an additive derivationsatisfying δ(ξ A)=ξδ(A) when ξ≠1. Related results concerning generalized ξ-Lie derivablemaps are given.
	TO cite this article:Liu Lei ,Ji Guoxing . ξ-Lie derivable maps and generalized ξ-Lie derivable maps on standard operator algebras[OL].[28 April 2012] http://en.paper.edu.cn/en_releasepaper/content/4476863


	5. Strong convergence theorems by a new hybrid projection algorithm forequilibrium problems and fixed point problems of three relativelyweak quasi-nonexpansive mappings and a monotonemapping
	Bu Shangquan ,Cai Gang
	Mathematics 12 March 2012
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	Abstract:The purpose of this paper is to introduce a new hybrid projection algorithm for finding a common element of the set of common fixed points of three relatively weak quasi -nonexpansive mappings, the set of solutions of an equilibrium problem and a zero of solutions of $lpha-$inverse strongly monotone mapping in the framework of Banach spaces. Moreover, strong convergence theorems to a point which is common fixed point of three relatively weak quasi-nonexpansive mappings, a solution of an equilibrium problem and a solution of a certain variational problem are proved under appropriate conditions.Our results improve and extend the results announced by many others.
	TO cite this article:Bu Shangquan ,Cai Gang . Strong convergence theorems by a new hybrid projection algorithm forequilibrium problems and fixed point problems of three relativelyweak quasi-nonexpansive mappings and a monotonemapping[OL].[12 March 2012] http://en.paper.edu.cn/en_releasepaper/content/4470106


	6. The reverse order law for {1,2,3}-inverse of a two-operator product
	Haiyan Zhang,Ji Guoxing
	Mathematics 02 March 2012
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	Abstract:The reverse order law for {1,2,3}-inverse of a two-operator product is mainly investigated by making full use of block-operator matrix technique in this paper. The necessary and sufficient conditions for AB{1,2,3} includes B{1,2,3}A{1,2,3} and AB{1,2,4} includes B{1,2,4}A{1,2,4} are presented when all ranges R(A), R(B) and R(AB) are closed.
	TO cite this article:Haiyan Zhang,Ji Guoxing. The reverse order law for {1,2,3}-inverse of a two-operator product[OL].[ 2 March 2012] http://en.paper.edu.cn/en_releasepaper/content/4469607


	7. On uniformly convex subsets of Banach spaces
	Cheng Qingjin
	Mathematics 14 January 2012
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	Abstract:This paper introduces a notion ofuniform convex sets in Banach spaces, which is a localized settingof uniformly convex Banach spaces, and shows that every uniformlyconvex set has many nice properties, such as, every boundeduniformly convex set is weakly compact and admits the Radon-Rieszproperty. It also presents that the metric projection to everynonempty uniformly convex set is always continuous, every convexsubset in a uniformly convex space is uniformly convex and everycompact convex subset in a strictly convex space is also uniformlyconvex.
	TO cite this article:Cheng Qingjin. On uniformly convex subsets of Banach spaces[OL].[14 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4462246


	8. 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


	9. 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


	10. POSITIVE SOLUTIONS OF NONLINEAR SINGULAR THIRD-ORDER THREE-POINT BOUNDARY VALUE PROBLEM
	Hao Zhaocai ,Wen Yan
	Mathematics 17 June 2009
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	Abstract:This paper is concerned with the existence of positive solutions for the nonlinear singular third-order three-point boundary value problem $$ \\\\\\\\\\\\\\\\left\\\\\\\\\\\\\\\\{ \\\\\\\\\\\\\\\\aligned &u\\\\\\\\\\\\\\\
	TO cite this article:Hao Zhaocai ,Wen Yan. POSITIVE SOLUTIONS OF NONLINEAR SINGULAR THIRD-ORDER THREE-POINT BOUNDARY VALUE PROBLEM[J].

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