共查询到20条相似文献,搜索用时 15 毫秒
1.
We establish sufficient conditions for the local uniqueness of solutions to Ky Fan vector strong and weak inequalities. By using approximations as generalized derivatives, our results are valid even in cases where the maps involved in the problems suffer infinite discontinuity at the considered point. Corollaries and examples show that the results extend and improve existing ones in the literature. 相似文献
2.
In this paper, we obtain some new results for the dual invex Ky Fan inequalities in topological vector spaces. These results can be viewed as an extension and refinement of the previously known results of Noor and others. 相似文献
3.
广义Ky Fan点的通有稳定性 总被引:1,自引:0,他引:1
得到一个广义的Ky Fan不等式,它以通常的Ky Fan不等式为特例.我们讨论了在一致度量诱导的拓扑结构和二元泛函上方图形的拓扑结构下广义Ky Fan不等式问题构成的空间M中,大多数(在Baire分类意义下)广义Ky Fan不等式问题的所有广义Ky Fan点都是稳定的. 相似文献
4.
P. N. Anh 《Journal of Optimization Theory and Applications》2012,154(1):303-320
We introduce a new iteration method and prove strong convergence theorems for finding a common element of the set of fixed points of a nonexpansive mapping and the solution set of monotone and Lipschitz-type continuous Ky Fan inequality. Under certain conditions on parameters, we show that the iteration sequences generated by this method converge strongly to the common element in a real Hilbert space. Some preliminary computational experiences are reported. 相似文献
5.
本文中,我们首先给出了一类混合似变分不等式问题.接着,在Banach空间中研究了它的解的存在性和唯一性.最后,讨论了混合似变分不等式问题的扰动问题,并证明了扰动问题的解的存在唯一性定理. 相似文献
6.
G. H. Li 《Numerical Functional Analysis & Optimization》2018,39(7):763-783
In this paper, we study a weak generalized Ky Fan inequality with cone constraints through image space analysis. First, we characterize the separation for the weak generalized Ky Fan inequality with cone constraints using the saddle points of generalized Lagrangian function. Then, we use regular weak separation functions to construct gap functions and regularized gap functions for the weak generalized Ky Fan inequality with cone constraints in a general way, and establish its error bounds in terms of these gap functions. 相似文献
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8.
In this paper, a Ky Fan inequality without compactness and semicontinuity assumptions is proved. The inequality is next applied in order to obtain existence results for Nash equilibrium points for two-person games in topological vector spaces and in reflexive Banach spaces. 相似文献
9.
Massimiliano Giuli 《Journal of Optimization Theory and Applications》2013,158(1):130-144
This paper is mainly concerned with the stability analysis of the set-valued solution mapping for a parametric quasivariational inequality of Ky Fan type. Perturbations are here considered both on the bifunction and on the constraint map which define the problem. The bifunction is assumed to be either pseudomonotone or quasimonotone. This fact leads to the definition of four different types of solution: two when the bifunction is pseudomonotone, and two for the quasimonotone case. These solution sets are connected each other through two Minty-type Lemmas, where a very weak form of continuity for the bifunction is employed. Using these results, we are able to establish some sufficient conditions, which ensure the closedness and the upper semicontinuity of the maps corresponding to the four solution sets. 相似文献
10.
Phan Tu Vuong Jean Jacques Strodiot Van Hien Nguyen 《Journal of Optimization Theory and Applications》2012,155(2):605-627
In this paper, we introduce some new iterative methods for finding a common element of the set of points satisfying a Ky Fan inequality, and the set of fixed points of a contraction mapping in a Hilbert space. The strong convergence of the iterates generated by each method is obtained thanks to a hybrid projection method, under the assumptions that the fixed-point mapping is a ??-strict pseudocontraction, and the function associated with the Ky Fan inequality is pseudomonotone and weakly continuous. A?Lipschitz-type condition is assumed to hold on this function when the basic iteration comes from the extragradient method. This assumption is unnecessary when an Armijo backtracking linesearch is incorporated in the extragradient method. The particular case of variational inequality problems is examined in a last section. 相似文献
11.
We use the concept of Fréchet approximate Jacobian matrices to establish the local uniqueness of solutions to general variational inequalities which involve continuous, not necessarily locally Lipschitz continuous data. 相似文献
12.
L. C. Ceng S. Schaible J. C. Yao 《Journal of Optimization Theory and Applications》2008,137(1):121-133
In this paper, we consider a generalized vector variational-like inequality problem (for short, GVVLIP), which includes generalized
vector variational inequalities, vector variational inequalities and classical variational inequalities as special cases.
The concepts of generalized C-pseudomonotone-like and generalized H-hemicontinuous-like operators are introduced. Some existence results for GVVLIP are obtained under the assumptions of generalized
C-pseudomonotone-like property and generalized H-hemicontinuous-like property. These results appear to be new and interesting. New existence results of the classical variational
inequality are also obtained.
In this research, the first author was partially supported by the Teaching and Research Award Fund for Outstanding Young Teachers
in Higher Education Institutions of MOE, China and the Dawn Program Foundation in Shanghai. The third author was partially
supported by Grant NSC 94-2213-E-110-035. 相似文献
13.
61.Intr0ducti0nInthispaper,wediscussareactionnetinacombusti0nmodel:V={R,,R2},whereR,andR2aredistinctreacti0nprocesses:Rl:A1+A,-A,,R2:A2+A3-P,A,(j=1,2,3)denotesthereactant,andPdenotestheinertproduct.Thesereactionsareexothermicreactions-LetQ,,Q2standforheatenergiesandU=(U,,U,,U,,U,)forstatevariablesdescribingreactions,whereUoisreactiontemporature,andU,(j=1,2,3)isthemolarityofthej-threactant.AssumethatV,(i=1,2)isthereactantvariablefortheithreactionpr0cess:V,=(Q,,1,-l,l)",V2=(Q,,O,-l,-… 相似文献
14.
15.
文开庭 《应用泛函分析学报》2013,(3)
建立了FC-空间中弱转移紧开覆盖的匹配定理.作为应用,获得了FC-空间中的重合定理、不动点定理、极大元定理和极大极小不等式.我们的结论统一、改进和推广了一些近期文献的已知结果. 相似文献
16.
Vladimir L. Levin 《Set-Valued Analysis》2001,9(4):383-390
We show that a multifunction a, which assignes to a cost function c the set a(c) of optimal solutions for the corresponding Monge-Kantorovich problem, is generically single-valued. 相似文献
17.
在本文中,我们研究了一类变分不等式解的存在性和唯一性问题,作为应用,讨论了力学中的著名的Signorini问题,改进了这一问题有解的条件. 相似文献
18.
Expected Residual Minimization Formulation for a Class of Stochastic Vector Variational Inequalities
Yong Zhao Jin Zhang Xinmin Yang Gui-Hua Lin 《Journal of Optimization Theory and Applications》2017,175(2):545-566
This paper considers a class of vector variational inequalities. First, we present an equivalent formulation, which is a scalar variational inequality, for the deterministic vector variational inequality. Then we concentrate on the stochastic circumstance. By noting that the stochastic vector variational inequality may not have a solution feasible for all realizations of the random variable in general, for tractability, we employ the expected residual minimization approach, which aims at minimizing the expected residual of the so-called regularized gap function. We investigate the properties of the expected residual minimization problem, and furthermore, we propose a sample average approximation method for solving the expected residual minimization problem. Comprehensive convergence analysis for the approximation approach is established as well. 相似文献
19.
In this note,we obtain some a-priori estimates for gradient of weak solutions to a class of subelliptic quasilinear equations constructed by Ho¨rmander’s vector fields,and then prove local uniqueness of weak solutions.A key ingredient is the estimated about kernel on metirc "annulus". 相似文献