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There are 49 papers published in subject: > since this site started.

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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. 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

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	3. 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


	4. 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


	5. 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


	6. Mean Value Inequalities with respect to Intuitionistic Fuzzy Calculus
	Ai Zhenghai
	Mathematics 25 August 2015
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	Abstract:Atanassov introduced intuitionistic fuzzy set (A-IFS), whose basic elements are intuitionistic fuzzy numbers (IFNs). The IFN is an ordered pair, which is described by a membership degree, a non-membership degree, based on which the intuitionistic fuzzy calculus (IFC) has been put forward recently. To further develop the theory of IFCs, in this paper, we first review the basic concepts and properties, then we present the mean value inequalities which are similar to the ones in the classical calculus and offer the proofs in detail, finally, we simplify integrand function under intuitionistic fuzzy environment.
	TO cite this article:Ai Zhenghai. Mean Value Inequalities with respect to Intuitionistic Fuzzy Calculus[OL].[25 August 2015] http://en.paper.edu.cn/en_releasepaper/content/4653129


	7. Mathematical model researches for Ebola virus transmission problem
	HAN Xinjie,LI Shanshan,LIU Changliang
	Mathematics 13 August 2015
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	Abstract:In this paper in order to exterminate Ebola virus epidemic in West Africa, we establish four models. In model 1, we collect the number of total cases and deaths of Ebola in Guinea, Liberia and Sierra Leone from WHO's website. There is no vaccine or medication which can protect people from the disease in this period, so in order to describe the spread of Ebola virus accurately, we build improved SI epidemic model to estimate how many cases of Ebola will exist in these countries when the epidemic has been controlled. In model 2, the medication is widely used to fight against Ebola, and we take patients in the incubation period into consideration. So we build improved SEIR epidemic model to estimate how many people will be cured and the quantity of the medicine needed. We use the iterative method to obtain the numerical solution for its nonlinearity. For example, we estimate that 11271 people in Guinea will suffer from the disease, 6071 of them will be cured. It means those 11271 people need medicine (it can be equivalent to 8904 adults). In model 3, we build a PSO optimization model. At first we find there are 10 Ebola treatment centers (ETC) in Guinea and get the coordinates of them from Global Ebola Response Monitoring and Mapping System. Then we investigate the traffic conditions and epidemic situation around them.Finally we use PSO algorithm based on the goal to minimize the time to determine the optimal location of the delivery center. Its coordinate is (-10.599,9.043). In model 4, we develop a mixed model by combining the previous three models. We build a complete system in the axle of time to estimate speed of manufacturing of the medicine, which we can use to forecast, estimate and delivery. For instance, we estimate that we need 356 days to control the epidemic via using improved SI epidemic model. Then we do a sensitivity analysis and find that the model is sensitive to recovery rate, but it isn't sensitive to morbidity.
	TO cite this article:HAN Xinjie,LI Shanshan,LIU Changliang. Mathematical model researches for Ebola virus transmission problem[OL].[13 August 2015] http://en.paper.edu.cn/en_releasepaper/content/4652249


	8. Gap Functions and Error Bounds for VectorEquilibrium Problems
	LI Geng-Hua,CHEN Xiao-Biao ,LIU Jin-Kui
	Mathematics 19 December 2014
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	Abstract:In this paper, we intend to study VectorEquilibrium problems. Without any scalarization approach, the gapfunctions and their regularized versions for vector equilibriumproblems are obtained. Under mild conditions, we develop an errorbounds for vector equilibrium problems with strongly monotone data. As an application, we also get the gap functions and error bounds for the vector variational inequalities.
	TO cite this article:LI Geng-Hua,CHEN Xiao-Biao ,LIU Jin-Kui. Gap Functions and Error Bounds for VectorEquilibrium Problems[OL].[19 December 2014] http://en.paper.edu.cn/en_releasepaper/content/4623559


	9. Newton-like Methods for Vector-valued Optimization Problems
	LIANG Shuang,CHEN Chun-Rong
	Mathematics 20 October 2014
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	Abstract:In this paper, we propose a unify Newton-like method and its variant for vector-valued optimization in the context of Euclidean spaces, with respect to the partial orders induced by a pointed, closed and convex cone with a nonempty interior. Under suitable hypotheses, both partial and full convergence results are established.
	TO cite this article:LIANG Shuang,CHEN Chun-Rong. Newton-like Methods for Vector-valued Optimization Problems[OL].[20 October 2014] http://en.paper.edu.cn/en_releasepaper/content/4614477


	10. Subdifferential properties of the minimal time function for the differential inclusion in Hilbert spaces
	JIANG Yi
	Mathematics 04 May 2014
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	Abstract:In Hilbert spaces, the minimal time function of the differential inclusion isconsidered. For both the initial data belonging tothe target set and outside of the target set, the proximal subdifferential and the Fr'echetsubdifferential properties of the minimal time function are derived and the subdifferentials are represented by the normal cones of the target set andthe Hamilton function in the level or sublevel sense.
	TO cite this article:JIANG Yi. Subdifferential properties of the minimal time function for the differential inclusion in Hilbert spaces[OL].[ 4 May 2014] http://en.paper.edu.cn/en_releasepaper/content/4595775

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