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91.
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
92.
We study the model M consisting of “general games” with noncompact action space, together with an associated abstract rationality function. We
prove that M is structurally stable and robust to ϵ-equilibria for “almost all” parameters. As applications, we investigate structural
stability and robustness to bounded rationality for noncooperative games, multiobjective optimizations and fixed point problems
satisfying existence and some continuity conditions. Specifically, we introduce concrete rationality functions for such three
kinds of problems with both payoffs and strategy sets, objective functions and domain spaces, and correspondence and domain
spaces as parameters, respectively, and show the generic structural stability and robustness to bounded rationality for the
corresponding model Ms. 相似文献
93.
在效应代数中引入模糊滤子和模糊理想的概念,讨论了它们的性质;引入并研究了强模糊滤子;在全序效应代数中提出了一个模糊同余关系并证明了这样生成的同余类是一个全序格效应代数. 相似文献
94.
1994年, Foulis和Bennett在表示不可精确测量的量子逻辑结构时引入了效应代数. 该文用直接构造的方法, 给出一类效应代数上的态表示定理. 即, 若Ω是紧的 Hausdorff 拓扑空间, 令E(Ω)={f: f∈C(Ω), 0≤f≤1}, 则φ 是(E(Ω),Ο, 0, 1) 上的态当且仅当Ω 上存在唯一的正则Borel 概率测度μ使得对每个f (E(Ω),Ο, 0, 1),φ (f)=∫Ω f dμ. 相似文献
95.
通过对非紧性测度的精细计算, 结合相应的线性方程的特征值理论, 运用凝聚映射的不动点指数理论, 分别在超线性与次线性情形下, 讨论Banach空间Sturm-Liouville边值问题正解的存在性. 相似文献
96.
Jong Soo Jung 《Applied mathematics and computation》2009,213(2):498-505
We introduce a new composite iterative scheme by viscosity approximation method for finding a common point of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping in a Hilbert space. It is proved that the sequence generated by the iterative scheme converges strongly to a common point of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping. Our results substantially improve the corresponding results of Takahashi and Takahashi [A. Takahashi, W. Takahashi, Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces, J. Math. Anal. Appl. 331 (2007) 506-515]. Essentially a new approach for finding solutions of equilibrium problems and the fixed points of nonexpansive mappings is provided. 相似文献
97.
Weak and strong convergence theorems for the approximation of common fixed points of a finite family of asymptotically strictly pseudocontractive mappings are proved in Hilbert spaces using an explicit averaging cyclic algorithm. 相似文献
98.
Jacek Jachymski 《Journal of Mathematical Analysis and Applications》2009,358(2):491-492
W.A. Kirk [W.A. Kirk, Fixed points of asymptotic contractions, J. Math. Anal. Appl. 277 (2003) 645-650] defined the notion of an asymptotic contraction on a metric space and using ultrapower techniques he gave a nonconstructive proof of an asymptotic version of the Boyd-Wong fixed point theorem. Subsequently, I.D. Arand?elovi? [I.D. Arand?elovi?, On a fixed point theorem of Kirk, J. Math. Anal. Appl. 301 (2005) 384-385] established somewhat more general version of Kirk's result and he gave an elementary proof of it. However, our purpose is to show that there is an error in this proof and, moreover, Arand?elovi?'s theorem is false. We also explain how to correct this result. 相似文献
99.
Controllability of Semilinear Differential Systems with Nonlocal Initial Conditions in Banach Spaces 总被引:3,自引:0,他引:3
Y. K. Chang J. J. Nieto W. S. Li 《Journal of Optimization Theory and Applications》2009,142(2):267-273
In this note, we establish a sufficient condition for the controllability of a first-order semilinear differential system
with nonlocal initial conditions in Banach spaces. The approach used is the Sadovskii fixed-point theorem combined with operator
semigroups. Particularly, the compactness of the operator semigroups is not needed in this article.
Y.K. Chang was supported by Tianyuan Youth Fund of Mathematics in China (10826063), NNSF of China (10801065), the Scientific
Research Fund of Gansu Provincial Education Department (20868), and Qing Lan Talent Engineering Funds (QL-05-16A) of Lanzhou
Jiaotong University.
J.J. Nieto was supported by Ministerio de Educacion y Ciencia-FEDER Project MTM2007-61724, and by Xunta de Galicia-FEDER Project
PGIDIT05PXIC20702PN. 相似文献
100.
Y.-K. Chang J. J. Nieto W.-S. Li 《Journal of Optimization Theory and Applications》2009,140(3):431-442
This paper is focused mainly upon existence of solutions for a second-order impulsive hyperbolic differential inclusions with
nonlocal initial conditions. By using some well-known fixed-point theorems, existence theorems are established when the multivalued
map has convex or nonconvex values. As applications of these main theorems, some consequences are given for the sublinear
growth cases.
Y.-K. Chang was supported by “Qing Lan” Talent Engineering Funds (QL-05-16A), by Lanzhou Jiaotong University, the Scientific
Research Fund of Gansu Provincial Education Department (0704-14). J.J. Nieto was supported by Ministerio de Educacion y Ciencia
and FEDER, Project MTM2007-61724, and by Xunta de Galicia and FEDER, Project PGIDIT05PXIC20702PN. 相似文献