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1.
Equilibrium Problems in the Quasimonotone Case 总被引:1,自引:0,他引:1
Existence results for quasimonotone vector equilibrium problems and quasimonotone vector variational inequalities are obtained starting from an existence result for a scalar equilibrium problem involving two quasimonotone bifunctions. These results are established under weaker conditions than in previous works. 相似文献
2.
In this paper, we consider some well-known equilibrium problems and their duals in a topological Hausdorff vector space X for a bifunction F defined on K x K,where K is a convex subset of X. Some necessary conditions are investigated, proving different results depending on the behaviour of F on the diagonal set. The concept of proper quasimonotonicity for bifunctions is defined, and the relationship with generalized monotonicity is investigated. The main result proves that the condition of proper quasimonotonicity is sharp in order to solve the dual equilibrium problem on every convex set. 相似文献
3.
In this paper, we obtain some coincidence theorems and some KKM-type theorems. We apply these results to establish the existence of the solution to generalized vector equilibrium problems, where a bimap f : X × Y 2Z is involved and some sufficient conditions are imposed on f. 相似文献
4.
A. Hassouni A. Lahlou A. Lamghari 《Journal of Optimization Theory and Applications》2005,126(2):225-246
In this paper, we establish some existence results for linear complementarity problems on closed convex cones under generalized monotonicity assumptionsThe authors are grateful to the referees for detailed comments and suggestions on an early version of the paper 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.
Vector Equilibrium Problems with Generalized Monotone Bifunctions 总被引:25,自引:0,他引:25
M. Bianchi N. Hadjisavvas S. Schaible 《Journal of Optimization Theory and Applications》1997,92(3):527-542
A vector equilibrium problem is defined as follows: given a closed convex subset K of a real topological Hausdorff vector space and a bifunction F(x, y) valued in a real ordered locally convex vector space, find x
*K such that
for all yK. This problem generalizes the (scalar) equilibrium problem and the vector variational inequality problem. Extending very recent results for these two special cases, the paper establishes existence of solutions for the unifying model, assuming that F is either a pseudomonotone or quasimonotone bifunction. 相似文献
7.
M. Bianchi N. Hadjisavvas S. Schaible 《Journal of Optimization Theory and Applications》2006,129(1):23-31
In keeping with very recent efforts to establish a useful concept of an exceptional family of elements for variational inequality
problems rather than complementarity problems as in the past, we propose such a concept. It generalizes previous ones to multivalued
variational inequalities in general normed spaces and allows us to obtain several existence results for variational inequalities
corresponding to earlier ones for complementarity problems. Compared with the existing literature, we consider problems in
more general spaces and under considerably weaker assumptions on the defining map. 相似文献
8.
From Scalar to Vector Equilibrium Problems in the Quasimonotone Case 总被引:15,自引:0,他引:15
In a unified approach, existence results for quasimonotone vector equilibrium problems and quasimonotone (multivalued) vector variational inequality problems are derived from an existence result for a scalar equilibrium problem involving two (rather than one) quasimonotone bifunctions. The results in the vector case are not only obtained in a new way, but they are also stronger versions of earlier existence results. 相似文献
9.
研究了一类拟单调时滞微分系统的全局渐近性质,我们提出了此类系统存在全局吸引正平衡态的充分条件.文中结论推广了已有相应结果. 相似文献
10.
In this paper, we present a unified treatment and analysis of a dynamic traffic network model with elastic demands formulated and studied as a projected dynamical system. We propose a travel route choice adjustment process that satisfies the projected dynamical system. Under certain conditions, stability and asymptotical stability of the equilibrium patterns are then derived. Finally, two discrete-time algorithms, the Euler method and the Heun method, are proposed for the computation of the solutions, and convergence results established. The convergence results depend crucially on stability analysis. The performance of the algorithms is then illustrated on several transportation networks. 相似文献
11.
Characterizations of Solutions for Vector Equilibrium Problems 总被引:5,自引:0,他引:5
Ansari Q.H. Konnov I.V. Yao J.C. 《Journal of Optimization Theory and Applications》2002,113(3):435-447
In this paper, we characterize the solutions of vector equilibrium problems as well as dual vector equilibrium problems. We establish also vector optimization problem formulations of set-valued maps for vector equilibrium problems and dual vector equilibrium problems, which include vector variational inequality problems and vector complementarity problems. The set-valued maps involved in our formulations depend on the data of the vector equilibrium problems, but not on their solution sets. We prove also that the solution sets of our vector optimization problems of set-valued maps contain or coincide with the solution sets of the vector equilibrium problems. 相似文献
12.
广义概率A—proper 映象的拓扑度及其不动点定理 总被引:1,自引:0,他引:1
本文建立了M—PN 空间中广义概率A-proper 映象的拓扑度及其不动点定理。它是广义A—proper 映象及其不动点定理的推广。 相似文献
13.
We provide a nonexistence theorem of harmonic morphisms between hyperbolic spaces which are proper and C
2-smooth to the boundary. 相似文献
14.
在拓扑向量空间内,研究了一类新的集值映射的广义向量均衡问题,利用KKM定理,证明了解的几个存在性定理,并讨论了解的性状.所得结果推广了近期一些作者的研究成果. 相似文献
15.
We prove a topological two‐way characterization of the existence of fixed‐points, without using linear or convexity structures and provide applications in optimization‐related problems. Such a characterization is also demonstrated for a fixed‐component point, a slight generalization of a fixed point. 相似文献
16.
A.P. Farajzadeh A. Amini-Harandi 《Journal of Mathematical Analysis and Applications》2008,344(2):999-1004
In this paper, generalized vector equilibrium problems are studied and some existence theorems of solutions for these problems in the setting of topological vector spaces are proved. Sufficient conditions for the set of solutions to be compact and convex are given. Our results improve some recent results in this field. 相似文献
17.
18.
Minimal Coercivity Conditions and Exceptional Families of Elements in Quasimonotone Variational Inequalities 总被引:3,自引:0,他引:3
Bianchi M. Hadjisavvas N. Schaible S. 《Journal of Optimization Theory and Applications》2004,122(1):1-17
A coercivity condition is usually assumed in variational inequalities over noncompact domains to guarantee the existence of a solution. We derive minimal, i.e., necessary coercivity conditions for pseudomonotone and quasimonotone variational inequalities to have a nonempty, possibly unbounded solution set. Similarly, a minimal coercivity condition is derived for quasimonotone variational inequalities to have a nonempty, bounded solution set, thereby complementing recent studies for the pseudomonotone case. Finally, for quasimonotone complementarity problems, previous existence results involving so-called exceptional families of elements are strengthened by considerably weakening assumptions in the literature. 相似文献
19.
On Coincidence of Feedback Nash Equilibria and Stackelberg Equilibria in Economic Applications of Differential Games 总被引:1,自引:0,他引:1
S. J. Rubio 《Journal of Optimization Theory and Applications》2006,128(1):203-220
The scope of the applicability of the feedback Stackelberg equilibrium concept in differential games is investigated. First,
conditions for obtaining the coincidence between the stationary feedback Nash equilibrium and the stationary feedback Stackelberg
equilibrium are given in terms of the instantaneous payoff functions of the players and the state equations of the game. Second,
a class of differential games representing the underlying structure of a good number of economic applications of differential
games is defined; for this class of differential games, it is shown that the stationary feedback Stackelberg equilibrium coincides
with the stationary feedback Nash equilibrium. The conclusion is that the feedback Stackelberg solution is generally not useful
to investigate leadership in the framework of a differential game, at least for a good number of economic applications
This paper was presented at the 8th Viennese Workshop on Optimal Control, Dynamic Games, and Nonlinear Dynamics: Theory and
Applications in Economics and OR/MS, Vienna, Austria, May 14–16, 2003, at the Seminar of the Instituto Complutense de Analisis
Economico, Madrid, Spain, June 20, 2003, and at the Sevilla Workshop on Dynamic Economics and the Environment, Sevilla, Spain,
July 2–3, 2003. The author is grateful to the participants in these sessions, in particular F.J. Andre and J. Ruiz, for their
comments. Five referees provided particularly helpful suggestions. Financial support from the Ministerio de Ciencia y Tecnologia
under Grant BEC2000-1432 is gratefully acknowledged. 相似文献
20.
For vector quasivariational inequalities involving multifunctions in topological vector spaces, an existence result is obtained without a monotonicity assumption and with a convergence assumption weaker than semicontinuity. A new type of quasivariational inequality is proposed. Applications to quasicomplementarity problems and traffic network equilibria are considered. In particular, definitions of weak and strong Wardrop equilibria are introduced for the case of multivalued cost functions. 相似文献