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81.
In this paper we establish sufficient conditions for the solution set of parametric multivalued vector quasiequilibrium problems to be semicontinuous. All kinds of semicontinuity are considered: lower semicontinuity, upper semicontinuity, Hausdorff upper semicontinuity and closedness. Moreover, we investigate both the “weak” and “strong” solutions of quasiequilibrium problems. 相似文献
82.
F. S. de Blasi 《Set-Valued Analysis》2006,14(3):263-272
For maps φ on hyperspaces the existence of semifixed sets, i.e., of sets A satisfying one of the relations A ⊂ φ(A), A ⊃ φ(A), A ∩ φ(A) ≠ ∅, is considered. An application to set differential equations is also presented. 相似文献
83.
黄辉 《高校应用数学学报(A辑)》2003,18(3):357-364
考虑了凸集值映射的整体误差界,推广Li和Singer(1998)的主要定理到无界情形并肯定地回答了该文的猜想.作为应用,给出了线性Hoffman误差界定理一个简单的新证明. 相似文献
84.
Dušan Holý 《Mathematica Slovaca》2007,57(6):561-570
We study spaces of multifunctions with closed values, multifunctions with closed graphs, USCO multifunctions, minimal USCO
multifunctions and the space of densely continuous forms as metric spaces, equipped with the topology of uniform convergence.
We give conditions under which these metric spaces are complete.
相似文献
85.
Generalized B-vex functions and generalized B-vex programming 总被引:21,自引:0,他引:21
C. R. Bector S. K. Suneja C. S. Lalitha 《Journal of Optimization Theory and Applications》1993,76(3):561-576
A class of functions called pseudo B-vex and quasi B-vex functions is introduced by relaxing the definitions of B-vex, pseudoconvex, and quasiconvex functions. Similarly, the class of B-invex, pseudo B-invex, and quasi B-invex functions is defined as a generalization of B-vex, pseudo B-vex, and quasi B-vex functions. The sufficient optimality conditions and duality results are obtained for a nonlinear programming problem involving B-vex and B-invex functions.The first author is thankful to the Natural Science and Engineering Research Council of Canada for financial support through Grant A-5319. The second author is grateful to the Faculty of Management, University of Manitoba for the financial support provided for her visit. The authors are thankful to Prof. R. N. Kaul, Department of Mathematics, Delhi University for his constructive criticism of the paper. 相似文献
86.
87.
研究了C^n中有界强拟凸Ω上Bergman空间A^p(Ω)上的复合算子的有界性、紧性,给出了复合算子Cψ:A^p(Ω)→A^p(Ω)紧性的一个完整刻划。 相似文献
88.
In this paper, the Laplacian on the holomorphic tangent bundle T1,0M of
a complex manifold M endowed with a strongly pseudoconvex complex Finsler metric
is defined and its explicit expression is obtained by using the Chern Finsler connection
associated with (M,F). Utilizing the initiated “Bochner technique”, a vanishing theorem
for vector fields on the holomorphic tangent bundle T1,0M is obtained. 相似文献
89.
本文研究了点紧连续集值映射族在紧开拓扑下的N性质.利用cs-σ网方法获得了如下结果:若X是N0空间,Y是N空间,则C_k(X,Y)是N空间.该结论将J.A.Guthrie关于单值连续映射空间的结论推广到了集值映射空间上,并且改进了相关结论. 相似文献
90.
Mariusz Michta 《随机分析与应用》2013,31(6):1181-1200
Abstract In this article, we consider a stochastic integral inclusion driven by semimartingale with discontinuous multivalued right hand side. We discuss the existence of strong solutions using lower and upper solutions method and a fixed point theorem for ordered sets. The presented studies extend some recent results both for deterministic differential inclusions and stochastic differential equations for increasing operators. 相似文献