共查询到20条相似文献,搜索用时 93 毫秒
1.
本文首先在赋范线性空间中引入一类广义强凸集值映射,称之为h-强凸集值映射.其次利用R?dstr?m消去律研究了h-强凸集值映射的一些基本性质.最后,给出h-强凸集值映射形式下赋范线性空间为内积空间的刻画条件. 相似文献
2.
《数学的实践与认识》2018,(21)
首先在赋范线性空间中引入了一类广义强凸集值映射,称之为强E-凸集值映射.其次利用Radstr?m消去律研究了强E-凸集值映射的一些基本性质.最后,给出了强E-凸集值映射形式下赋范线性空间为内积空间的刻画条件. 相似文献
3.
通过对偶的方法研究了拓扑向量空间上的一类平衡问题,并详细的证明了平衡问题解的存在性结果,又利用集值映射的拟凸性讨论了一类集值映射的平衡问题,并给出了详细的证明过程,得到其平衡问题的解的存在性结果. 相似文献
4.
集值映射向量优化问题是最优化理论中的一个重要方向.在集值映射为生成锥内部-锥一类凸(简记为ic-锥类凸)的假设条件下,利用择一定理,给出了集值映射向量优化问题ε-弱有效解和ε-有效解的最优性条件和ε-Lagrange乘子定理,是弱有效解和有效解相应结果的推广. 相似文献
5.
6.
7.
本首先证明了一类集值映射的下半连续性。在此基础上给出了Banach空间集值映射的一个连续不动点定理,作为应用,证明了一类微分包含解的存在性。这种方法是全新的。 相似文献
8.
9.
主要研究了Banach空间一类具有阻尼项的二阶微分包含的可控性,利用集值映射不动点定理,讨论了集值函数取凸值的情况,给出了微分包含可控性的充分条件. 相似文献
10.
本文利用Cellina和Lasota关于集值映射的拓扑度定义了一类集值映射的不动点指数,讨论了它的有关性质,作为应用的例子,我们获得了一类变分不等式解的存在性定理. 相似文献
11.
Ishak Altun 《Journal of Fixed Point Theory and Applications》2011,9(1):125-134
We present some common fixed point theorems for multivalued maps satisfying an implicit relation on complete metric spaces.
Also a homotopy result is given for multivalued maps. 相似文献
12.
Abderrahim Jourani 《Set-Valued Analysis》1996,4(2):157-172
We prove that interiority conditions imply tangency conditions for two multivalued mappings from a topological space into a normed vector space. As a consequence, we obtain the lower semicontinuity of the intersection of two multivalued mappings. An application to the epi-upper semicontinuity of the sum of convex vector-valued mappings is given. 相似文献
13.
一类多值算子方程的迭代算法 总被引:1,自引:0,他引:1
本讨论Hilbert空间上具有强单调、上半Lipschitz连续性质的多值算子方程的求解方法,构造了迭代格式并证明迭代过程是收敛的;同时给出它在求解多值微分方程边值问题中的应用。 相似文献
14.
Lai-Jiu Lin Zenn-Tsuen Yu Li-Ping Lai 《Journal of Mathematical Analysis and Applications》2003,284(2):656-671
In this paper, we establish some fixed point theorems for a family of multivalued maps under mild conditions. By using our fixed point theorems, we derive some maximal element theorems for a particular family of multivalued maps, namely the Φ-condensing multivalued maps. As applications of our results, we prove some general equilibrium existence theorems in the generalized abstract economies with preference correspondences. Further applications of our results are also given to minimax inequalities for a family of functions. 相似文献
15.
16.
Lai-Jiu Lin Qamrul Hasan Ansari 《Journal of Mathematical Analysis and Applications》2004,296(2):455-472
In this paper, we first establish collective fixed points theorems for a family of multivalued maps with or without assuming that the product of these multivalued maps is Φ-condensing. As an application of our collective fixed points theorem, we derive the coincidence theorem for two families of multivalued maps defined on product spaces. Then we give some existence results for maximal elements for a family of LS-majorized multivalued maps whose product is Φ-condensing. We also prove some existence results for maximal elements for a family of multivalued maps which are not LS-majorized but their product is Φ-condensing. As applications of our results, some existence results for equilibria of abstract economies are also derived. The results of this paper are more general than those given in the literature. 相似文献
17.
Luong V. Nguyen Luu T. Phuong Nguyen T. Hong Xiaolong Qin 《Journal of Fixed Point Theory and Applications》2018,20(4):139
The aim of this paper is to prove some fixed point theorems for multivalued maps satisfying different inequalities based on Wardowski’s technique in complete metric spaces. Our results extend and generalize several known results in the literature. We also give an application to the existence of fixed points for a class of Lipschitz multivalued mappings with a constant being greater than 1. Examples are also given to illustrate our results. 相似文献
18.
Grzegorz Gabor 《Set-Valued Analysis》2005,13(2):125-149
In the paper we construct a homotopy index on sleek sets for multivalued flows generated by differential inclusions using single-valued approximations. The index is described by behavior of a multivalued map (some tangency conditions) on a boundary of a given set. Several properties of the index are proved. Some results on existence of equilibria are also presented.Mathematics Subject Classifications (2000) Primary: 54H20; secondary: 34C25, 37B30. 相似文献
19.
Valeri Obukhovskii 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(6):1715-1728
We consider a semilinear functional differential inclusion with infinite delay and impulse characteristics in a Banach space assuming that its linear part is a non-densely defined Hille-Yosida operator. We assume that the multivalued nonlinearity of upper Carathèodory or almost lower semicontinuous type satisfies a regularity condition expressed in terms of the measures of noncompactness. We apply the theory of integrated semigroups and the theory of condensing multivalued maps to obtain local and global existence results. The application to an optimization problem for an impulsive feedback control system is given. 相似文献
20.
We consider a semilinear differential inclusion in a Banach space assuming that its linear part is a nondensely defined Hille–Yosida
operator whereas Carathèodory-type multivalued nonlinearity satisfies a regularity condition expressed in terms of the Hausdorff
measure of noncompactness. We apply the theory of integrated semigroups and the fixed point theory of condensing multivalued
maps to obtain local and global existence results and to prove the continuous dependence of the solutions set on initial data.
An application to an optimization problem for a feedback control system is given. 相似文献