H-SPACE

作品数:11被引量:4H指数:1
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相关领域:理学更多>>
相关作者:郭伟平葛倩更多>>
相关机构:西安交通大学苏州科技学院南京师范大学更多>>
相关期刊:《Acta Mathematicae Applicatae Sinica》《Chinese Annals of Mathematics,Series B》《Acta Mathematica Sinica,English Series》《Wuhan University Journal of Natural Sciences》更多>>
相关基金:国家自然科学基金中国博士后科学基金北京市自然科学基金国家教育部博士点基金更多>>
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Homotopy Exponents of Stiefel Manifolds in the Stable Range
《Acta Mathematica Sinica,English Series》2016年第9期1080-1088,共9页Hao ZHAO Li Nan ZHONG Wen Huai SHEN 
Supported by the NSFC(Grant No.11261062);the Special Financial Grant form the China Postdoctoral Science Foundation(Grant No.2015T80909);Research Fund for the Doctoral Program of Higher Education of China(Grant No.20134407110001)
Let p be an odd prime. For the Stiefel manifold Wm+k,k = SU(m + k)/SU(m), we obtain an upper bound of its p-primary homotopy exponent in the stable range k ≤ m with k ≤ (p - 1)2 + 1.
关键词:Stiefel manifold homotopy exponent H-SPACE 
Complementarity Problems for Multivalued Non-Monotone Operators in Banach Spaces
《Journal of Mathematical Research and Exposition》2007年第2期323-327,共5页郭伟平 
the Foundation of Jiangsu Education Committee (04KJD110170);the Foundation of Univer-sity of Science and Technology of Suzhou.
We utilize Park's maximal element theorem in H-space to prove the existence theorems of solutions of the complementarity problems for multivalued non-monotone operators in Banach spaces.
关键词:H-SPACE Banach space multivalued non-monotone operator complementarity problem. 
AN EXISTENCE THEOREM FOR MAXIMAL ELEMENTS AND ITS APPLICATIONS
《Applied Mathematics(A Journal of Chinese Universities)》2007年第2期235-244,共10页Hou Jicheng He Wei 
Supported by the NNSF of China(10571081);the Natural Science Foundation of Beijing Education Department(KM200710772007).
An existence theorem of maximal elements for an L*-majorized correspondence defined on a non-paracompact H-space is established. As applications of the result, an equilibrium existence theorem for a non-paracompact g...
关键词:maximal element generalized game EQUILIBRIUM H-space L*-majorized correspondence 
On Fixed Point and Almost Fixed Point Problems of Lower Semicontinuous Type Multivalued Mappings被引量:2
《Acta Mathematica Sinica,English Series》2005年第5期1027-1034,共8页Liang Yu LUAN Xian WU 
This work is supported by National Natural Science Foundation of China and Natural Science Foundation of the Yunnan Province of China
In the present paper, some new almost fixed point theorems and fixed point theorems for lower semicontinuous type multivalued mappings are obtained in metrizable H-spaces.
关键词:Lc.-metric space H-SPACE Lower semicontinuous multivalued mapping Locally-uniformly weak lower semicontinuous multivalued mapping 
A Fixed Point Theorem and an Equilibrium Point of an Abstract Economy in H-spaces
《Acta Mathematicae Applicatae Sinica》2003年第3期425-430,共6页Ji-cheng HouDepartment of Mathematics, Shantou University, Shantou 515063, ChinaCorrespondence address: Department of Mathematics and Information Science, Yantai University, Yantai264005, China 
the National Natural Science Foundation of China (Grant No.10171043)
In this note we first prove a fixed point theorem in H-spaces which unities and extends the corresponding results in [6] and [9]. Then, by applying the fixed point theorem, we prove an existence theorem of an equilib...
关键词:H-SPACE fixed points abstract economy non-compact domain Nash equilibria compactly open lower sections 
On Vector Quasi-Variational Inequality Problems in H-Space
《Wuhan University Journal of Natural Sciences》2002年第1期9-13,共5页Mao Jian-feng 1 , He Xiao-lin 2 1.Department of Mathematics, Xianning Teacher ’s College, Xianning 437005, Hubei, China 2.Mathematics Teaching and Research Section, Luzhou Medical College, Luzhou 646000, Sichuan, China 
Supported by the Science Research Foundation of Xianning Teacher's College( No.K9911)
The purpose to this paper is to study the existence problem of solutions to the vector quasivariational inequality for vector-valued functions inH-space.
关键词:H-SPACE H-convex set transfer opened (transfer closed) H *-concave vector function (weakly) vector minimal point 
ON A KIND OF GENERALIZED QUASI-VARIATIONAL INEQUALITIES AND FAN's MINIMAX INEQUALITY WITHOUT CONVEXITY
《Chinese Annals of Mathematics,Series B》2001年第3期337-342,共6页SHENZIFEI WUXIAN 
the Foundation of the Technology Commission of Zhejiang Province, China.(No.19990500), the National Natural Science Foundation
This Paper gives a Fan’s type minimax theorem, a nearest point theorem and two existence theorems of solutions for a kind of generalized quasi-variational inequalities in H-spaces without any linear structure.
关键词:Locally convex H-space H-convex set Acyclic set Almost upper semi- continuous multivalued mapping 
COVERING PROPERTIES ON H-SPACES AND APPLICATIONS
《Applied Mathematics and Mechanics(English Edition)》1993年第12期1079-1088,共10页丁协平 陈国强 
This project partially supported by National Natural Science Foundation of ChinaThis work was partially supported by NSERC of Canada under grant A-8096
Several theorems on closed (resp. open) covering properties of H-spaces are obtained which improve and generalize the corresponding results of Sperner, Klee, Alexandroff-Pasynkoff, Berge, Ghouila-Houri, Danzer-Grunbau...
关键词:covering property H-SPACE H-convex H-convex hull almost fixed point lower semi-continuous l.c.-space SIMPLEX uniform structure topological vector space locally convex space contractible 
KKM TECHNIQUE AND ITS APPLICATIONS被引量:1
《Applied Mathematics and Mechanics(English Edition)》1993年第1期11-20,共10页Zhang Shi-sheng Ma Yi-hai 
In this paper,the Knaster-Karatowski-Mazurkiewicz technique(KKM technique,in short)is presented.By using this technique a new alternative theorem and a new coincidence theorem are established.The results obtained in t...
关键词:H-SPACE KKM mapping alternative theorem coincidence theorem 
THE THEORY AND APPLICATIONS OF GENERALIZED H-SPACE
《Applied Mathematics and Mechanics(English Edition)》1991年第11期1083-1090,共8页车素兵 
This paper brings forward the concept of generalized H-spaces which extends the concepts of H-spaces and almost probabilistic metric spaces. In this paper, the uniformity and properties far generalized H-space are con...
关键词:uniform spaces H-SPACES probabilistic metric spaces METRIZATION 
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