共查询到20条相似文献,搜索用时 31 毫秒
1.
In this paper, the stability of the set of solutions for symmetric vector quasi-equilibrium problems is discussed. Then, we
prove a generic stability theorem and give an existence theorem for essentially connected components of the set of solutions
for symmetric vector quasi-equilibrium problems. Finally, we apply these results to vector weak saddle point problems with
constraints.
This research was partially supported by the Natural Science Foundation of China (Grant number: 10561007) and Natural Science
Foundation of Jiangxi Province, China. 相似文献
2.
Qamrul Hasan Ansari Siegfried Schaible Jen-Chih Yao 《Journal of Global Optimization》2002,22(1-4):3-16
In this paper, we introduce the system of generalized vector equilibrium problems which includes as special cases the system of generalized implicit vector variational inequality problems, the system of generalized vector variational and variational-like inequality problems and the system of vector equilibrium problems. By using a maximal element theorem, we establish existence results for a solution of these systems. As an application, we derive existence results for a solution of a more general Nash equilibrium problem for vector-valued functions. 相似文献
3.
Using a generalized Fan’s KKM theorem, some existence results for generalized vector variational-like inequalities in noncompact
settings are established. Some applications to vector optimization problems are given. The results presented in this paper
extend and unify corresponding results of other authors. 相似文献
4.
In this paper, we introduce and study a class of implicit vector equilibrium problems, which includes a number of (scalar) implicit equilibrium problems, implicit variational inequalities, and implicit complementarity problems as special cases. By using KKM-Fan theorem, we prove some new existence theorems of solutions for this kind of implicit vector equilibrium problems in Hausdorff topological vector spaces. Our results extend and unify some corresponding results of several authors. 相似文献
5.
In this paper, we apply a new version of the Brézis, Nirenberg, and Stampacchia theorem; we use pseudomonotonicity and some coercivity conditions to establish some existence result for a solution of generalized vector equilibrium problems for multivalued bifunctions. The proper quasiconvexity of multivalued bifunctions is introduced and existence theorems for generalized vector equilibrium problems related to multivalued mappings with the KKM property are obtained. The new results extend and modify various existence theorems for similar problems. 相似文献
6.
Qamrul Hasan Ansari 《Journal of Mathematical Analysis and Applications》2007,334(1):561-575
This paper introduces a vectorial form of equilibrium version of Ekeland-type variational principle. Some equivalent results to our variational principle are given. As applications, we derive the existence of solutions of a vector equilibrium problem in the setting of complete quasi-metric spaces with a W-distance. Caristi-Kirk fixed point theorem for multivalued maps is also established in a more general setting. 相似文献
7.
8.
集值映射下的向量均衡问题解的存在性 总被引:3,自引:0,他引:3
程永红 《应用泛函分析学报》2001,3(3):285-288
利用广义的截口定理,本讨论集值映射和变序下的向量均衡问题解的存在性。 相似文献
9.
研究了一类集值映象的广义向量变分不等式和相补问题 ,证明了解的一些存在性定理 .推广和改进了文 [1 ,4 6 ]的相关研究成果 . 相似文献
10.
利用标量化方法建立对称向量拟均衡问题有效解的存在性定理.作为标量化方法的应用,利用这一方法得到向量变分不等式和拟向量变分不等式有效解的存在性定理. 相似文献
11.
An existence result for the generalized vector equilibrium problem 总被引:16,自引:0,他引:16
Q. H. Ansari 《Applied Mathematics Letters》1999,12(8):865-56
In this paper, we prove an existence result for the generalized vector equilibrium problem by using Fan-Browder type fixed-point theorem due to [1]. 相似文献
12.
抽象经济均衡问题解的存在性及其算法 总被引:3,自引:0,他引:3
本文首先研究一类新的向量均衡问题,利用截口定理与KKM定理两种不同的工具证明此类均衡问题解的存在性,接着,把这类向量均衡问题推广到更为一般的情形,随后讨论了具有上下界的均衡问题,它是由Isac,Sehgal和Singh于1999年提出的一个公开问题,本文在一定条件下获得了一个新的解的存在性定理,并构造了一个迭代算法,讨论了算法的收敛性。 相似文献
13.
L. C. Ceng G. Mastroeni J. C. Yao 《Journal of Optimization Theory and Applications》2008,137(3):485-495
By means of generalized KKM theory, we prove a result on the existence of solutions and we establish general variational principles,
that is, vector optimization formulations of set-valued maps for vector generalized systems. A perturbation function is involved
in general variational principles. We extend the theory of gap functions for vector variational inequalities to vector generalized
systems and we prove that the solution sets of the related vector optimization problems of set-valued maps contain the solution
sets of vector generalized systems. A further vector optimization problem is defined in such a way that its solution set coincides
with the solution set of a weak vector generalized system.
Research carried on within the agreement between National Sun Yat-Sen University of Kaohsiung, Taiwan and Pisa University,
Pisa, Italy, 2007.
L.C. Ceng research was partially supported by the National Science Foundation of China (10771141), Ph.D. Program Foundation
of Ministry of Education of China (20070270004), and Science and Technology Commission of Shanghai Municipality grant (075105118).
J.C. Yao research was partially supported by the National Science Center for Theoretical Sciences at Tainan. 相似文献
14.
The purpose of this paper is to study systems of vector equilibrium problems. We establish some existence theorems for systems
of vector equilibrium problems by using (S)+-conditions and Kakutani–Fan–Glicksberg fixed point theorem
*This work was supported by the Kyungnam University Research Fund 2004 相似文献
15.
Xiang Yu ZHOU Institute of Mathematics Academy of Mathematics System Sciences Chinese Academy of Sciences Beijing P.R.China Department of Mathematics Zhejiang University Hangzhou P.R.China Wei Ming LIU Institute of Mathematics Academy of Mathematics System Sciences Chinese Academy of Sciences Beijing P.R.China 《应用数学学报(英文版)》2004,(4)
Let X be a Hopf manifolds with an Abelian fundamental group.E is a holomorphic vectorbundle of rank r with trivial pull-back to W=C~n-{0}.We prove the existence of a non-vanishingsection of L(?)E for some line bundle on X and study the vector bundles filtration structure of E.These generalize the results of D.Mall about structure theorem of such a vector bundle E. 相似文献
16.
向量拟平衡问题的本质解及解集的本质连通区 总被引:9,自引:1,他引:8
本文研究向量拟平衡问题,得到了向量拟平衡问题解的一个存在性结果,证明了在满足一定的连续性和凸性条件的问题构成的空间Y中,大多数(在Baire分类意义下)问题的解集是稳定的,并证明Y的某子集中,每个向量拟平衡问题的解集中至少存在一个本质连通区。作为应用,我们导出了多目标广义对策弱Pareto-Nash平衡点的存在性,证明了在满足一定的连续性和凸性条件的多目标广义对策构成的空间P中,大多数对策的弱Pareto-Nash平衡点是稳定的,并证明了P中的每个对策的弱Pareto-Nash平衡点集中至少有一个本质连通区。 相似文献
17.
On Nondifferentiable and Nonconvex Vector Optimization Problems 总被引:5,自引:0,他引:5
In this paper, we prove the equivalence among the Minty vector variational-like inequality, Stampacchia vector variational-like inequality, and a nondifferentiable and nonconvex vector optimization problem. By using a fixed-point theorem, we establish also an existence theorem for generalized weakly efficient solutions to the vector optimization problem for nondifferentiable and nonconvex functions. 相似文献
18.
N. X. Tan 《Journal of Optimization Theory and Applications》2004,123(3):619-638
Quasivariational inclusion problems are formulated and sufficient conditions on the existence of solutions are shown. As special cases, we obtain several results on the existence of solutions of general vector ideal, proper, Pareto, weak quasioptimization problems, quasivariational inequalities, and vector quasiequilibrium problems. Further, we prove theorems on the existence for solutions of systems of these inclusions. As a corollary, we obtain an ideal minimax theorem concerning vector functions. 相似文献
19.
Zhi Lin 《Journal of Global Optimization》2006,36(4):627-635
In this paper, we study the system of generalized vector quasi-equilibrium problems, which includes as special cases the system of vector quasi-equilibrium problems and the system of generalized vector equilibrium problems, and establish the existence and essential components of the solution set under perturbations of its best-reply map. Moreover, we also derive a new existence theorem of Ky Fan’s points for a set-valued map. 相似文献
20.
Some Remarks On Vector Optimization Problems 总被引:6,自引:0,他引:6
K. R. Kazmi 《Journal of Optimization Theory and Applications》1998,96(1):133-138
We prove the existence of a weak minimum for vector optimization problems by means of a vector variational-like inequality and preinvex mappings. 相似文献