共查询到20条相似文献,搜索用时 15 毫秒
1.
Generalized vector quasi-equilibrium problems 总被引:3,自引:0,他引:3
2.
In this paper, the solvability of Stampacchia generalized vector quasi-equilibrium problem (in short, GVQEP) with set-valued
mapping is studied. By using continuous selection theorem and fixed point theorems, some existence theorems for (GVQEP) are
obtained without any monotonicity assumption. These theorems unify and improve some results in the recent references. 相似文献
3.
丁协平 《数学物理学报(B辑英文版)》2007,27(3):522-534
By applying a maximal element theorem on product FC-space due to author, some new equilibrium existence theorems for generalized games with fuzzy constraint corre- spondences are proved in FC-spaces.By using these equilibrium existence theorems,some new existence theorems of solutions for the system of generalized vector quasi-equilibrium problems are established in noncompact product FC-spaces.These results improve and generalize some recent results in literature to product FC-spaces without any convexity structure. 相似文献
4.
In this paper, we study generalized minimax inequalities in a Hausdorff topological vector space, in which the minimization and the maximization of a two-variable set-valued mapping are alternatively taken in the sense of vector optimization. We establish two types of minimax inequalities by employing a nonlinear scalarization function and its strict monotonicity property. Our results are obtained under weaker convexity assumptions than those existing in the literature. Several examples are given to illustrate our results. 相似文献
5.
Xie-Ping Ding Jen-Chih Yao Lai-Jiu Lin 《Journal of Mathematical Analysis and Applications》2004,298(2):398-410
In this paper we establish a collectively fixed point theorem and an equilibrium existence theorem for generalized games in product locally G-convex uniform spaces. As applications, some new existence theorems of solutions for the system of generalized vector quasi-equilibrium problems are derived in product locally G-convex uniform spaces. These theorems are new and generalize some known results in the literature. 相似文献
6.
In this article, we study the parametric vector quasi-equilibrium problem (PVQEP). We investigate existence of solution for
PVQEP and continuities of the solution mappings of PVQEP. In particular, results concerning the lower semicontinuity of the
solution mapping of PVQEP are presented.
相似文献
7.
In this article, gap functions for a generalized vector equilibrium problem (GVEP) with explicit constraints are investigated. Under a concept of supremum/infimum of a set, defined in terms of a closure of the set, three kinds of conjugate dual problems are investigated by considering the different perturbations to GVEP. Then, gap functions for GVEP are established by using the weak and strong duality results. As application, the proposed approach is applied to construct gap functions for a vector optimization problem and a generalized vector variational inequality problem. 相似文献
8.
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
9.
Symmetric strong vector quasi-equilibrium problems 总被引:2,自引:0,他引:2
X. H. Gong 《Mathematical Methods of Operations Research》2007,65(2):305-314
In this paper, we introduce the symmetric strong vector quasi-equilibrium problem. We then demonstrate that the symmetric
strong vector quasi-equilibrium problem is solvable under the suitable assumptions. As an application, we get an existence
theorem of the strong saddle points of vector-valued functions. In addition, we give a characterization of vector-valued properly
quasi-convex functions.
This work was supported by the Natural Science Foundation of China and the Natural Science Foundation of Jiangxi Province,
China 相似文献
10.
In the paper, existence theorems for two classes of generalized vector quasi-equilibrium problems are established by using
a fixed point theorem and some examples are given to illustrate them. An application to vector quasi-optimization problems
is shown.
This research was partially supported by the National Natural Science Foundation of China (Grant numbers: 60574073 and 10471142). 相似文献
11.
Generalized vector equilibrium problems with set-valued mappings 总被引:15,自引:0,他引:15
12.
This paper deals with generalized vector quasi-equilibrium problems. By virtue of a nonlinear scalarization function, the
gap functions for two classes of generalized vector quasi-equilibrium problems are obtained. Then, from an existence theorem
for a generalized quasi-equilibrium problem and a minimax inequality, existence theorems for two classes of generalized vector
quasi-equilibrium problems are established.
This research is partially supported by the Postdoctoral Fellowship Scheme of The Hong Kong Polytechnic University and the
National Natural Science Foundation of China. 相似文献
13.
Lai-Jiu Lin Qamrul Hasan Ansari Yu-Jen Huang 《Mathematical Methods of Operations Research》2007,65(1):85-98
In this paper, we consider more general forms of generalized vector quasi-equilibrium problems for multivalued maps which
include many known vector quasi-equilibrium problems and generalized vector quasi-variational inequality problems as special
cases. We establish some existence results for solutions of these problems under pseudomonotonicity and u-hemicontinuity/ℓ-hemicontinuity assumptions.
相似文献
14.
In this paper, we discuss properties, such as monotonicity and continuity, of the Gerstewitz's nonconvex separation functional. With the aid of this functional, necessary and sufficient optimality conditions for nonconvex optimization problems of set-valued mappings are obtained in topological vector spaces. 相似文献
15.
In this paper, a system of generalized symmetric vector quasi-equilibrium problems for set-valued mappings is introduced. By using a scalarization method and a fixed-point theorem, the existence result for its solution is established. The main result extends the corresponding results in Fu (J. Math. Anal. Appl. 285, 708-713, 2003) and Zhang, Chen and Li (OR Transactions 10, 24-32, 2006). 相似文献
16.
The purpose of this paper is to generalize and improve some topological properties of solutions set to the set-valued vector equilibrium problems by using the scalar characterization method. Moreover, the Lipschitz continuity of an approximate solution mapping for the parametric set-valued vector equilibrium problems is studied. 相似文献
17.
The set-valued variational inequality problem is very useful in economics theory and nonsmooth optimization. In this paper, we introduce some gap functions for set-valued variational inequality problems under suitable assumptions. By using these gap functions we derive global error bounds for the solution of the set-valued variational inequality problems. Our results not only generalize the previously known results for classical variational inequalities from single-valued case to set-valued, but also present a way to construct gap functions and derive global error bounds for set-valued variational inequality problems. 相似文献
18.
In this paper, the lower semicontinuity of solution mapping to parametric generalized strong vector equilibrium problems without the assumptions of monotonicity and compactness is established by using a new proof method which is different from the ones used in the literature. 相似文献
19.
Xie Ping Ding Zhong Bao Wang 《Journal of Computational and Applied Mathematics》2010,233(11):2876-3514
In this paper, we introduce and study a new system of generalized set-valued mixed variational-like inequality problems (SGSMVLIP) and its related auxiliary problems in reflexive Banach spaces. The auxiliary principle technique is applied to study the existence and an iterative algorithm of solutions for the system of generalized set-valued mixed variational-like inequality problems. At first, the existence and uniqueness of solutions of the auxiliary problems for (SGSMVLIP) is shown. Next, an iterative algorithm for solving (SGSMVLIP) is constructed by using the existence and uniqueness result. Finally, we prove the existence of solutions of (SGSMVLIP) and discuss the convergence analysis of the algorithm. These results improve, unify and generalize many corresponding known results given in the literature. 相似文献
20.
Qamrul Hasan Ansari Fabián Flores-Bazán 《Journal of Mathematical Analysis and Applications》2003,277(1):246-256
In this paper, we consider the generalized vector quasi-equilibrium problem with or without involving Φ-condensing maps and prove the existence of its solution by using known fixed point and maximal element theorems. As applications of our results, we derive some existence results for a solution to the vector quasi-optimization problem for nondifferentiable functions and vector quasi-saddle point problem. 相似文献