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101.
In this paper,by providing some different conditions respect to another works,we shall present two results on absolute retractivity of some sets related to some multifunctions of the form F:X × X → P b,cl (X),on complete metric spaces. 相似文献
102.
Thai Doan Chuong 《Applicable analysis》2013,92(6):1270-1287
This paper focuses on the metric regularity of a positive order for generalized equations. More concretely, we establish verifiable sufficient conditions for a generalized equation to achieve the metric regularity of a positive order at its a given solution. The provided conditions are expressed in terms of the Fréchet coderivative/or the Mordukhovich coderivative/or the Clarke one of the corresponding multifunction formulated the generalized equation. In addition, we show that such sufficient conditions turn out to be also necessary for the metric regularity of a positive order of the generalized equation in the case where the multifunction established the generalized equation is closed and convex. 相似文献
103.
In this paper, two implicit multifunction theorems are obtained. Then by using a set-valued gap function and the results obtained we study the sensitivity analysis of the solution mapping for a parametric weak vector equilibrium problem and obtain an explicit expression for the contingent derivative of the solution mapping. 相似文献
104.
R.H. HaghiSh. Rezapour N. Shahzad 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(5):1799-1803
In this paper, we shall prove that some generalizations in fixed point theory are not real generalizations. 相似文献
105.
We will prove that the automorphism groups of the strongly pseudoconvex model domains in almost complex manifolds are isomorphically embedded into the automorphism group of the unit ball. 相似文献
106.
MichaelFilippakis LeszekGasinskit NikolaosS.PapageorgiouI 《应用数学学报(英文版)》2004,20(2):179-190
We study the periodic problem for differential inclusions in R~N.First we look for extremal periodicsolutions.Using techniques from multivalued analysis and a fixed point argument we establish an existencetheorem under some general hypotheses.We also consider the“nonconvex periodic problem”under lowersemicontinuity hypotheses,and the“convex periodic problem”under general upper semicontinuity hypotheseson the multivalued vector field.For both problems,we prove existence theorems under very general hypotheses.Our approach extends existing results in the literature and appear to be the most general results on the nonconvexperiodic problem. 相似文献
107.
108.
C. Zălinescu 《Mathematical Methods of Operations Research》2008,68(3):493-508
Several generalizations of the Hahn–Banach extension theorem to K-convex multifunctions were stated recently in the literature. In this note we provide an easy direct proof for the multifunction
version of the Hahn–Banach–Kantorovich theorem and show that in a quite general situation it can be obtained from existing
results. Then we derive the Yang extension theorem using a similar proof as well as a stronger version of it using a classical
separation theorem. Moreover, we give counterexamples to several extension theorems stated in the literature.
Dedicated to Jean-Paul Penot with the occasion of his retirement. 相似文献
109.
证明含m-耗散算子的微分包含随机积分解的存在性,统一和推广Avgerinos和Papaeorgiou,Kravvaritis的结果.讨论半线性微分包含的随机适度解问题. 相似文献
110.
本文利用Stein流形上强拟凸域的全纯支撑函数,并使用Hermite度量和陈联络定义的Koppelman-Leray核,结合边界的流形结构特点,得到了强拟凸域边界上(p,q)型Lewy方程(b-方程)解的一种整体积分表示. 相似文献