共查询到20条相似文献,搜索用时 39 毫秒
1.
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
2.
This paper deals with the existence of hybrid fixed points involving two multivalued operators in a complete metric space. Our claim is also illustrated with applications to a class of integral inclusions for proving the existence results. 相似文献
3.
In this paper, we introduce a class of Suzuki-type contractive multivalued mappings and establish the existence of fixed points of such mappings in the setup of b-metric spaces. Some examples are presented to support the results proved herein. An estimate of Hausdorff distance between the fixed point sets of two Suzuki-type contractive multivalued mappings is obtained. As an application of results thus obtained, existence and uniqueness of periodic solution of delay differential equations are shown. 相似文献
4.
This paper deals with sufficient conditions for the existence of at least two positive solutions for a class of integral inclusions arising in the traffic theory. To show our main results, we apply a norm-type expansion and compression fixed point theorem for multivalued map due to Agarwal and O’Regan [A note on the existence of multiple fixed points for multivalued maps with applications, J. Differential Equation 160 (2000) 389–403]. 相似文献
5.
Fixed points of discontinuous multivalued increasing operators in Banach spaces with applications 总被引:1,自引:0,他引:1
Shihuang Hong 《Journal of Mathematical Analysis and Applications》2003,282(1):151-162
By using relatively weakly compactness conditions, we obtain existence theorems of fixed points for discontinuous multivalued increasing operators in Banach spaces. As an application, we utilize the results obtained in Section 2 to lead to the existence principles for integral inclusions of Hammerstein type multivalued maps. 相似文献
6.
在Banach中讨论了一类二阶微分包含的边值问题和一类反馈控制问题.结合不动点定理,对解的存在性给出了两个充分性条件,最后应用前面的结果建立了反馈控制问题解的存在性定理. 相似文献
7.
Mujahid Abbas 《Rendiconti del Circolo Matematico di Palermo》1936,60(1-2):229-240
The existence of fixed points for weakly contractive multivalued maps satisfying an inwardness condition is established in CAT(0) space. Fixed point theorems for multivalued contraction mapping assuming closed values are also obtained. These results generalize and complement various known comparable results in the existing literature. 相似文献
8.
In this paper, using a generalization of the Fan–Browder fixed point theorem, we obtain a new fixed point theorem for multivalued maps in generalized convex spaces from which we derive several coincidence theorems and existence theorems for maximal elements. Applications of these results to generalized equilibrium problems and minimax theory will be given in the last sections of the paper. 相似文献
9.
《随机分析与应用》2013,31(1):155-167
Abstract We proved a random coincidence point theorem for a pair of commuting random operators in the setup of Fréchet spaces. As applications, we obtained random fixed point and best approximation results for *-nonexpansive multivalued maps. Our results are generalizations or stochastic versions of the corresponding results of Shahzad and Latif [Shahzad, N.; Latif, A. A random coincidence point theorem. J. Math. Anal. Appl. 2000, 245, 633–638], Khan and Hussain [Khan, A.R.; Hussain, N. Best approximation and fixed point results. Indian J. Pure Appl. Math. 2000, 31 (8), 983–987], Tan and Yaun [Tan, K.K.; Yaun, X.Z. Random fixed point theorems and approximation. Stoch. Anal. Appl. 1997, 15 (1), 103–123] and Xu [Xu, H.K. On weakly nonexpansive and *-nonexpansive multivalued mappings. Math. Japon. 1991, 36 (3), 441–445]. 相似文献
10.
Wei-Shih Du 《Topology and its Applications》2012,159(1):49-56
Several characterizations of MT-functions are first given in this paper. Applying the characterizations of MT-functions, we establish some existence theorems for coincidence point and fixed point in complete metric spaces. From these results, we can obtain new generalizations of Berinde-Berinde?s fixed point theorem and Mizoguchi-Takahashi?s fixed point theorem for nonlinear multivalued contractive maps. Our results generalize and improve some main results in the literature. 相似文献
11.
A. V. Arutyunov B. D. Gel’man 《Computational Mathematics and Mathematical Physics》2009,49(7):1111-1118
The existence of minimizers is examined for a function defined on a metric space. Theorems are proved that assert the existence of minimizers, and examples of the functions for which these theorems are valid are given. Then, these theorems are applied to proving theorems on fixed points of univalent and multivalued mappings of metric spaces. Finally, coincident points of two mappings are examined. 相似文献
12.
《分析论及其应用》2017,33(4):366-374
We use the two mappings satisfying Ⅱ-expansive conditions on complex valued metric spaces to construct the convergent sequences and prove that the unique limit of the sequences is the point of coincidence or common fixed point of the two mappings.Also,we discuss the uniqueness of points of coincidence or common fixed points and give the existence theorems of unique fixed points.The obtained results generalize and improve the corresponding conclusions in references. 相似文献
13.
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
14.
15.
在完备可分的半序度量空间中,引入了随机映射对(F,G)关于g随机半序弱增以及(F,G)随机半序弱增的定义,研究了在满足一定非线性压缩条件下的随机映射列F_k:Ω×X×X→X,k=1,2…,g:Ω×X→X和h:Ω×X→X的公共二元随机重合点与公共二元随机不动点问题,所得结果推广了已有文献中的一些不动点定理. 相似文献
16.
The existence theorems of L p -continuous selectors that values are extreme points are proved for a class of multivalued maps. Applications to multivalued maps appearing in multivalued differential equations are presented. 相似文献
17.
Grzegorz Gabor Lech Górniewicz Mirosław Ślosarski 《Set-Valued and Variational Analysis》2009,17(1):1-19
A concept of generalized topological essentiality for a large class of multivalued maps in topological vector Klee admissible
spaces is presented. Some direct applications to differential equations are discussed. Using the inverse systems approach
the coincidence point sets of limit maps are examined. The main motivation as well as main aim of this note is a study of
fixed points of multivalued maps in Fréchet spaces. The approach presented in the paper allows to check not only the nonemptiness
of the fixed point set but also its topological structure.
相似文献
18.
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
19.
The existence theorems of L
p
-continuous selectors that values are extreme points are proved for a class of multivalued maps. Applications to multivalued maps appearing in multivalued differential equations are presented.Supported in part by RFFI Grant 93-011-264. 相似文献
20.
S Carl 《Journal of Mathematical Analysis and Applications》2004,297(1):56-69
In this paper we study existence of minimal and maximal fixed points for increasing multivalued functions in ordered topological vector spaces, and apply the obtained results to operator equations and quasilinear elliptic boundary value problems involving discontinuous nonlinearities. 相似文献