H-SPACES

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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 
CONSTRAINED MULTIOBJECTIVE GAMES IN LOCALLY CONVEX H-SPACES
《Applied Mathematics and Mechanics(English Edition)》2003年第5期499-508,共10页丁协平 
theNationalNaturalScienceFoundationofChina (1 9871 0 59) ;theNaturaScienceFoundationofEducationDepartmentofSichuanProvince ([2 0 0 0 ]2 5)
A new class of constrained multiobjective games with infinite players in noncompact locally convex H-spaces without linear structure are introduced and studied.By applying a Fan-Glicksberg type fixed point theorem for...
关键词：constrained multiobjective game maximum theorem fixed point weighted Nash-equilibria Pareto equilibria locally convex H-space 
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 
SECTION THEOREMS,COINCIDENCE THEOREMS AND INTERSECTION THEOREMS ON H-SPACES WITH APPLICATIONS
《Applied Mathematics and Mechanics(English Edition)》1993年第9期803-815,共13页Zhang Shi-sheng Zhang Ying 
Project supported by the National Natural Science Foundation of China
The purpose of this paper is to study the section theorems,coincidence theorems and intersection theorems on H-spaces.As a way of application,we use these results to study the existence problems of solutions for minim...
关键词：section theorem coincidence theorem intersection theorem H-KKM mapping variational inequality minimax inequality 
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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