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	1. The system of variational inequalities with hierarchical fixed point problem constraint
	ZENG Liu-Chuan
	Mathematics 20 June 2016
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	Abstract:In this paper, we introduce a general composite implicit schemefor finding a common solution of a system of variational inequalities (SVI) anda generalized mixed equilibrium problem with the constraint of the hierarchicalfixed point problem (HFPP) for a strictly pseudocontractive mapping in a realHilbert space. The strong convergence theorem for such an implicit scheme isestablished under some suitable assumptions. The result is the extension andimprovement of some corresponding ones in the literature.
	TO cite this article:ZENG Liu-Chuan. The system of variational inequalities with hierarchical fixed point problem constraint[OL].[20 June 2016] http://en.paper.edu.cn/en_releasepaper/content/4698655


	2. The optimization conditions for generalized complementarity problems based on generalized Fisher-Burmeister functions
	Wei-Zhe Gu,Mohamed A.Tawhid
	Mathematics 17 June 2016
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	Abstract:In this article, we consider an unconstrained minimization reformulation of the generalized complementarity problem GCP(f, g) based on the generalized Fisher-Burmeister function. Starting with the continuously differentiable functions f and g, we show under certain conditions any stationary point of the unconstrained minimization problem is a solution to GCP .
	TO cite this article:Wei-Zhe Gu,Mohamed A.Tawhid. The optimization conditions for generalized complementarity problems based on generalized Fisher-Burmeister functions[OL].[17 June 2016] http://en.paper.edu.cn/en_releasepaper/content/4697419

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	3. Convergence Analysis on a Derivative-Free Descent Method for Nonlinear Complementarity Problems
	Wei-Zhe Gu,Li-Yong Lu
	Mathematics 17 June 2016
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	Abstract:Recently, Hu, Huang and Chen, in the paper[Properties of a family of generalized NCP-functions and a derivative free algorithm for complementarity problems] introduced a family of generalized NCP-functions, which include many existing NCP-functions as special cases. They obtained several favorite properties of the functions; and by which, they showed that a derivative-free descent method is globally convergent under suitable assumptions. However, no result on convergent rate of the method was reported. In this paper, we further investigate some properties of this family of generalized NCP-functions. In particular, we show that, under suitable assumptions, the iterative sequence generated by the descent method discussed in their paper converges globally at a linear rate to a solution of the nonlinear complementarity problem.
	TO cite this article:Wei-Zhe Gu,Li-Yong Lu. Convergence Analysis on a Derivative-Free Descent Method for Nonlinear Complementarity Problems[OL].[17 June 2016] http://en.paper.edu.cn/en_releasepaper/content/4697495


	4. Existence of strong solutions for generalized vector equilibrium problems in Banach spaces
	ZENG Liu-Chuan
	Mathematics 17 June 2016
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	Abstract:The purpose of this paper is to study the existence of strong solutions for the generalizedvector equilibrium problem (for short, GVEP) with a variable ordering relation in reflexive Banachspaces. The existence theorem of strong solutions of the GVEP for monotone multifunction isestablished by virtue of the KKM-Fan theorem. The result is the extension and improvement ofsome corresponding ones in the literature.
	TO cite this article:ZENG Liu-Chuan. Existence of strong solutions for generalized vector equilibrium problems in Banach spaces[OL].[17 June 2016] http://en.paper.edu.cn/en_releasepaper/content/4698299


	5. On distance signless Laplacian spectral radius of graphs
	KE Xiao-xia, ZHOU Bo
	Mathematics 21 May 2016
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	Abstract:We determine the unique graphs with minimum distance signless Laplacian spectral radius among bipartite graphs with given matching number, among graphs with given independent number and number of pendent vertices, among graphs with given number of odd vertices. We also determine the unique tree with second minimum distance signless Laplacian spectral radius among trees with all vertices being odd and the unique graph with minimum distance signless Laplacian spectral radius among unicyclic graphs with all vertices being odd.
	TO cite this article:KE Xiao-xia, ZHOU Bo. On distance signless Laplacian spectral radius of graphs[OL].[21 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4692306


	6. Nonlinear Separation and Optimality Conditions for Vector Quasi-equilibrium Problem
	LI Geng-Hua,LI Sheng-Jie
	Mathematics 10 May 2016
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	Abstract: In this paper, we employ the image space analysis method to investigate vector quasi-equilibrium problems (for short, VQEP) with constrains. By using two weak separation functions and strong separation functions, we obtain some optimality conditions for weakly efficient solution and globally efficient solution to VQEP with constraints in the sense of image space analysis.
	TO cite this article:LI Geng-Hua,LI Sheng-Jie. Nonlinear Separation and Optimality Conditions for Vector Quasi-equilibrium Problem[OL].[10 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4687749


	7. Lagrange Type Optimality Conditions of Constrained Multi-Objective Optimization Problems
	YOU Man-Xue,LI Sheng-Jie
	Mathematics 10 May 2016
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	Abstract:This paper aims at investigating Lagrangian type optimality conditions in the context of constrained multi-objective optimization problems via Image Space Analysis. The equivalence between the existence of a regular (linear) separation in the Image Space and the existence of a saddle point for Lagrangian function is derived. Furthermore, we give some examples of regular separation functions, especially we use Gerstewitz function and augmented Lagrangian function to construct nonlinear separation functions.
	TO cite this article:YOU Man-Xue,LI Sheng-Jie. Lagrange Type Optimality Conditions of Constrained Multi-Objective Optimization Problems[OL].[10 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4687572


	8. Quasi-Newton method for computing the US-eigenpairs of a complex symmetric tensor
	MinRu BAI, Jing ZHAO, ZhangHui ZHANG
	Mathematics 06 April 2016
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	Abstract:US-eigenpairs of complex symmetric tensor has received much attention because of its background of quantum entanglement. The problem of finding US-eigenpairs can be regard as an unconstraint nonlinear optimization problem in complex number field. Optimization methods of this kind of problem often need a first- or second-order derivative of the objective function. However, such methods cannot be applied to real valued functions of complex variables because they are not necessarily analytic in their argument. In this paper, we present a quasi-Newton method for computing US-eigenpairs of a complex symmetric tensor, where we take advantage of Wirtinger Calculus to get the gradient of a real valued function defined on complex domain. The global and super-linear convergence of the method is verified. The numerical examples show the feasibility of the proposed method.
	TO cite this article:MinRu BAI, Jing ZHAO, ZhangHui ZHANG. Quasi-Newton method for computing the US-eigenpairs of a complex symmetric tensor[OL].[ 6 April 2016] http://en.paper.edu.cn/en_releasepaper/content/4682932


	9. On Envelop Epiderivatives of Set-Valued Mappings
	FENG Min,LIU Jinkui
	Mathematics 17 March 2016
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	Abstract:In this paper, we first present a new generalization concept of epiderivative for a set-valued mapping called envelope epiderivative. Subsequently, we study some of its properties. As an application, an unified necessary and sufficient optimality conditions for a set-valued optimization problem is derived in terms of the envelope epiderivative.
	TO cite this article:FENG Min,LIU Jinkui. On Envelop Epiderivatives of Set-Valued Mappings[OL].[17 March 2016] http://en.paper.edu.cn/en_releasepaper/content/4680932


	10. Characterization of dominant strategy equilibrium for non-cooperative games without convexity
	Hou Ji-Cheng
	Mathematics 21 January 2016
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	Abstract:This paper introduces the notion of generalized uniformly quasi-concavity which is a nature extension of the uniformly transfer quasi-concavity introduced by Bay, Tian and Zhou in [Bay M.R., Tian G., and Zhou J., Characterizations of the Existence of Equilibria in Games with Discontinuous and Non-Quasi-concave Payoffs. Review of Economic Studies 60, 935-948(1993)] to topological spaces, and give a characterization of dominant strategy equilibrium for non-cooperative games without any convexity (geometrical or abstract).
	TO cite this article:Hou Ji-Cheng. Characterization of dominant strategy equilibrium for non-cooperative games without convexity[OL].[21 January 2016] http://en.paper.edu.cn/en_releasepaper/content/4677005

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