共查询到20条相似文献,搜索用时 296 毫秒
1.
İsmail Yaslan 《Mediterranean Journal of Mathematics》2016,13(4):1613-1624
In this paper, by using Leray–Schauder fixed-point theorem, Avery–Henderson fixed-point theorem and Leggett–Williams fixed-point theorem, respectively, we investigate the conditions for the existence of at least one, two and three positive solutions to nonlinear second-order impulsive boundary value problems on time scales. 相似文献
2.
《Applied Mathematics Letters》2003,16(1):97-103
In this paper, we first prove a new fixed-point theorem from which the Kakutani's fixed-point theorem in locally convex topological vector spaces is immediately extended to H-spaces. Then, we establish a new existence theorem of equilibrium for generalized games in H-spaces, by applying our fixed-point theorem. 相似文献
3.
In this paper,we are concerned with the existence of positive solutions to an m-point boundary value problem with p-Laplacian of nonlinear fractional differential equation.By means of Krasnosel'skii fixed-point theorem on a convex cone and Leggett-Williams fixed-point theorem,the existence results of solutions are obtained. 相似文献
4.
In this paper, as applications of the Knaster-Kuratowski and Mazurkiewicz principle in the hyperconvex version, we obtain the Ky Fan type matching theorems for closed and open covers. As applications, some intersection theorems which are hyperconvex versions of corresponding results due to Alexandroff and Pasynkoff, Fan, Klee, Horváth, and Lassonde are established. Then, the Ky Fan type best approximation theorem and Schauder-Tychonoff fixed-point theorem (i.e., Fan-Glicksberg fixed-point theorem) for set-valued mappings in noncompact hyperconvex spaces are also given. Finally, we obtain a general form of the Browder-Fan fixed-point theorem for set-valued mappings in noncompact hyperconvex spaces. These results include corresponding results in the literature as special cases. 相似文献
5.
Geng Fengjie Zhu Deming Li Hongzhi 《高校应用数学学报(英文版)》2007,22(1):69-77
The three-point boundary value problems of p-Laplacian dynamic equations on time scales are investigated. By using Krasnosel'skii's fixed-point theorem and fixed-point index theorem, criteria are achieved for the existence of at least one, two or 2n positive solutions. Furthermore, some examples are included to illustrate the main theorems. 相似文献
6.
Mouffak Benchohra Naima Hamidi Johnny Henderson 《Numerical Functional Analysis & Optimization》2013,34(4):404-414
We are concerned with the existence of solutions of a class of fractional differential equations with anti-periodic boundary conditions involving the Caputo fractional derivative. We give two results: the first is based on Banach's fixed-point theorem, and the second is based on Schauder's fixed-point theorem. 相似文献
7.
Fenghui Wang 《Journal of Fixed Point Theory and Applications》2017,19(4):2427-2436
The split common fixed-point problem is an inverse problem that consists in finding an element in a fixed-point set such that its image under a linear transformation belongs to another fixed-point set. In this paper, we propose a new algorithm for the split common fixed-point problem that does not need any priori information of the operator norm. Under standard assumptions, we establish a weak convergence theorem of the proposed algorithm. 相似文献
8.
基于各种Ekeland变分原理的等价形式, 主要研究局部凸空间中给定有界凸子集乘以距离函数为扰动的单调半连续映射的向量Ekeand变分原理的等价性问题. 首先利用局部凸空间中的向量Ekeland变分原理证明了向量Caristi-Kirk不动点定理,向量 Takahashi非凸极小化定理和向量Oettli-Th\'{e}ra定理. 进一步研究了向量Ekeland变分原理与向量Caristi-Kirk不动点定理,向量Takahashi非凸极小化定理和向量Oettli-Th\'{e}ra定理的等价性. 相似文献
9.
基于无穷维空间中的生存定理,我们研究了集值映象的不动点,得到了一个新的不动点定理,推广和改进了[1]和[5]中的相应结果。 相似文献
10.
A. K. Prykarpats’kyi 《Ukrainian Mathematical Journal》2008,60(1):114-120
A generalization of the classical Leray-Schauder fixed-point theorem based on the infinite-dimensional Borsuk-Ulam-type antipode
construction is proposed. A new nonstandard proof of the classical Leray-Schauder fixed-point theorem and a study of the solution
manifold of a nonlinear Hamilton-Jacobi-type equation are presented.
Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 1, pp. 100–106, January, 2008. 相似文献
11.
Oswald Fogelklou Warwick Tucker Gunilla Kreiss 《NoDEA : Nonlinear Differential Equations and Applications》2012,19(1):97-131
We establish the existence and local uniqueness of traveling wave solutions to the one-dimensional Euler equations with artificial
viscosity. The equations are expressed as a fixed-point problem, which is solved by a computer-assisted method based on Yamamoto’s
application of the Banach fixed-point theorem. 相似文献
12.
Federico Echenique 《International Journal of Game Theory》2005,33(2):215-218
I give short and constructive proofs of Tarski’s fixed-point theorem, and of Zhou’s extension of Tarski’s fixed-point theorem to set-valued maps.I thank Charles Blair, William Thomson, an associated editor and a referee for their helpful suggestions.I have taught Tarski’s Theorem with F continuous to Caltech undergraduates. 相似文献
13.
《Applied Mathematics Letters》2003,16(2):137-142
In this paper, by applying the technique of continuous partition of unity and Tychonoff's fixed-point theorem, some new collectively fixed-point theorems for a family of set-valued mappings defined on the product space of noncompact G-convex spaces are proved. Our theorems improve, unify, and generalize many important collectively fixed-point theorems in recent literature. 相似文献
14.
Qing-bang Zhang Cao-zong Cheng 《Journal of Mathematical Analysis and Applications》2007,328(2):1369-1377
By applying the existence theorem of maximal elements, some new collectively fixed-point theorems for a family of set-valued mappings defined on the product space of noncompact FC-space are proved and some new theorems about minimax inequality involving two functions are given to show the relations of fixed-point theorem and minimax inequality in FC-spaces. These results improve and generalize many important results in the recent literature. 相似文献
15.
In this paper, we study the existence of countably many positive solutions for a singular multipoint boundary value problem. By using fixed-point index theory and the Leggett-Williams’ fixed-point theorem, sufficient conditions for the existence of countably many positive solutions are established. 相似文献
16.
对称广义拟向量平衡问题 总被引:1,自引:1,他引:0
黄永辉 《应用泛函分析学报》2009,11(1):74-78
介绍了对称广义拟向量平衡问题,并且通过非线性纯量函数,利用不动点定理,证明了对称广义拟向量平衡问题解的存在性定理. 相似文献
17.
Mathematical Notes - In 1955, M. A. Krasnosel’skii proved a fixed-point theorem for a single-valued map which is a completely continuous contraction (a hybrid theorem). Subsequently, his work... 相似文献
18.
Marcin Borkowski Dariusz Bugajewski 《Journal of Mathematical Analysis and Applications》2010,367(2):464-475
The aim of this paper is to prove a collection of fixed-point theorems for mappings which can be roughly called generalized contractions or their perturbations. In particular, we are going to consider operators (single-valued or multi-valued) in Banach spaces with a quasimodulus, in hyperconvex subsets of normed spaces, or finally in non-Archimedean spaces. A particular attention will be paid to Krasnoselskii-type fixed-point theorems as well as to a Schaefer-type fixed-point theorem. Some applications to nonlinear functional-integral equations will be given. Our results extend and complement some commonly known theorems. 相似文献
19.
This paper deals with the existence of denumberable positive solutions to boundary value problems of delay differential equations with denumberable singularities on infinite intervals. By the fixed-point index theory and a new fixed-point theorem in cones, the existence of denumberable positive solutions is obtained under some suitable growth conditions imposed on the nonlinear term. 相似文献