期刊文献+
共找到6篇文章
< 1 >
每页显示 20 50 100
NEW FIXED POINT THEOREMS OF CONDENSING MAPPINGS SATISFYING THE INTERIOR CONDITION IN BANACH SPACES 被引量:3
1
作者 Shaoyuan Xu Chongjun Zhu Guanghui Zhou 《Analysis in Theory and Applications》 2010年第1期43-52,共10页
In this paper, based on a basic result on condensing mappings satisfying the interior condition, some new fixed point theorems of the condensing mappings of this kind are obtained. As a result, the famous Altman's th... In this paper, based on a basic result on condensing mappings satisfying the interior condition, some new fixed point theorems of the condensing mappings of this kind are obtained. As a result, the famous Altman's theorem, Roth's theorem and Petryshyn's theorem are extended to condensing mappings satisfying the interior condition. 展开更多
关键词 condensing mappings interior condition fixed point Banach space
下载PDF
Maximal elements and generalized games involving condensing mappings in locally FC-uniform spaces and applications(Ⅰ)
2
作者 丁协平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第12期1561-1568,共8页
First, the notions of the measure of noncompactness and condensing setvalued mappings are introduced in locally FC-uniform spaces without convexity structure. A new existence theorem of maximal elements of a family of... First, the notions of the measure of noncompactness and condensing setvalued mappings are introduced in locally FC-uniform spaces without convexity structure. A new existence theorem of maximal elements of a family of set-valued mappings involving condensing mappings is proved in locally FC-uniform spaces. As applications, some new equilibrium existence theorems of generalized game involving condensing mappings are established in locally FC-uniform spaces. These results improve and generalize some known results in literature to locally FC-uniform spaces. Some further applications of our results to the systems of generalized vector quasi-equilibrium problems will be given in a follow-up paper. 展开更多
关键词 condensing set-valued mapping maximal element generalized game equi-librium locally FC-uniform spaces
下载PDF
On Positive Eigenvalues and Positive Fixed Points of Multivalued Condensing Mappings
3
作者 赵增勤 《Chinese Quarterly Journal of Mathematics》 CSCD 1992年第4期72-75,共4页
In this paper,we discuss the calculations of fixed point indexs for multivalued condensing mappings and k-set-contraction mappings,obtain some theorems on the eigenvalues and the fixed points under the suitable condit... In this paper,we discuss the calculations of fixed point indexs for multivalued condensing mappings and k-set-contraction mappings,obtain some theorems on the eigenvalues and the fixed points under the suitable conditions. Our conclusions improve and generalize some well-known results. 展开更多
关键词 positive eigenvalue multivalued condensing mapping k-set-contraction mapping
下载PDF
A FRACTIONAL NONLINEAR EVOLUTIONARY DELAY SYSTEM DRIVEN BY A HEMI-VARIATIONAL INEQUALITY IN BANACH SPACES 被引量:1
4
作者 Yunhua WENG Xuesong LI Nanjing HUANG 《Acta Mathematica Scientia》 SCIE CSCD 2021年第1期187-206,共20页
This article deals with a new fractional nonlinear delay evolution system driven by a hemi-variational inequality in a Banach space.Utilizing the KKM theorem,a result concerned with the upper semicontinuity and measur... This article deals with a new fractional nonlinear delay evolution system driven by a hemi-variational inequality in a Banach space.Utilizing the KKM theorem,a result concerned with the upper semicontinuity and measurability of the solution set of a hemivariational inequality is established.By using a fixed point theorem for a condensing setvalued map,the nonemptiness and compactness of the set of mild solutions are also obtained for such a system under mild conditions.Finally,an example is presented to illustrate our main results. 展开更多
关键词 fractional differential variational inequality fractional nonlinear delay evolution equation hemi-variational inequality condensing map KKM theorem fixed point theorem
下载PDF
GLOBALLY ATTRACTING SOLUTIONS TO IMPULSIVE FRACTIONAL DIFFERENTIAL INCLUSIONS OF SOBOLEV TYPE
5
作者 Van Hien LE Dinh Ke TRAN Trong Kinh CHU 《Acta Mathematica Scientia》 SCIE CSCD 2017年第5期1295-1318,共24页
We study a generalized Cauchy problem associated with a class of impulsive fractional differential inclusions of Sobolev type in Banach spaces. Our aim is to prove the existence of a compact set of globally attracting... We study a generalized Cauchy problem associated with a class of impulsive fractional differential inclusions of Sobolev type in Banach spaces. Our aim is to prove the existence of a compact set of globally attracting solutions to the problem in question. An application to fractional partial differential equations subject to impulsive effects is given to illustrate our results. 展开更多
关键词 globally attracting solution impulsive condition nonlocal condition condensing map measure of non-compactness MNC-estimate
下载PDF
MAXIMAL ELEMENTS OF CONDENSING PREFERENCE MAPS IN LOCALLY CONVEX HAUSDORFF SPACES
6
作者 丁协平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1991年第8期741-744,共4页
Two existence theorems of maximal elements of condensing preference maps in locally convex Hausdorff spaces are proved which generalize the recent results of Mehta. One of them positively answers the open problem ment... Two existence theorems of maximal elements of condensing preference maps in locally convex Hausdorff spaces are proved which generalize the recent results of Mehta. One of them positively answers the open problem mentioned by Mehta. 展开更多
关键词 topological vector space condensing preference map maximal element
下载PDF
上一页 1 下一页 到第
使用帮助 返回顶部