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CONSTRAINED MULTIOBJECTIVE GAMES IN LOCALLY CONVEX H-SPACES
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作者 丁协平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第5期499-508,共10页
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... 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 upper semicontinuous set-valued mappings with closed acyclic values and a maximum theorem,several existence theorems of weighted Nath-equilibria and Pareto equilibria for the constrained multiobjective games are proved in noncompact locally convex H-spaces.These theorems improve,unify and generalize the corresponding results of the multiobjective games in recent literatures. 展开更多
关键词 constrained multiobjective game maximum theorem fixed point weighted Nash-equilibria Pareto equilibria locally convex h-space
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COVERING PROPERTIES ON H-SPACES AND APPLICATIONS
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作者 丁协平 陈国强 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1993年第12期1079-1088,共10页
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... 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-Grunbaum-Klee, Ky Fan, Shih-Tan, Horvath and Lassonde. As application an almost fixed point theorem for lower semi-continuous map in l.c.-spaces and a generalization of Tychonoffs fixed point theorem are proved in l.c.-spaces which improve those results of Ky Fan and Horvath. 展开更多
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
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A Fixed Point Theorem and an Equilibrium Point of an Abstract Economy in H-spaces
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作者 Ji-cheng HouDepartment of Mathematics, Shantou University, Shantou 515063, ChinaCorrespondence address: Department of Mathematics and Information Science, Yantai University, Yantai264005, China 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2003年第3期425-430,共6页
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 equilibr... 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 equilibrium point of an abstract economy in H-spaces which improves and generalizes similar result in [4]. 展开更多
关键词 h-space fixed points abstract economy non-compact domain Nash equilibria compactly open lower sections
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THE THEORY AND APPLICATIONS OF GENERALIZED H-SPACE
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作者 车素兵 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1991年第11期1083-1090,共8页
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... 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 considered. The conditions of metrization and the form of metric functions for generalized H-spaces, H-spaces and Menger PM-spaces are given and the characteristics of completeness and compactness for generalized H-spaces are presented. The results of this paper generalize and unify some recent results of [1-2, 8, 10]. 展开更多
关键词 uniform spaces h-spaces probabilistic metric spaces METRIZATION
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On Vector Quasi-Variational Inequality Problems in H-Space
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作者 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 《Wuhan University Journal of Natural Sciences》 EI CAS 2002年第1期9-13,共5页
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
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INTERSECTION THEOREMS CONCERNING NONCOMPACT SETS WITH H-CONVEX SECTIONS AND THEIR APPLICATIONS 被引量:1
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作者 丁协平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1991年第1期85-92,共8页
In this paper, we prove some intersection theorems concerning noncompact sets with H-convex sections which generalize the corresponding results of Ma, Fan, Tarafdar, Lassonde and Shin-Tan to H-spaces without the linea... In this paper, we prove some intersection theorems concerning noncompact sets with H-convex sections which generalize the corresponding results of Ma, Fan, Tarafdar, Lassonde and Shin-Tan to H-spaces without the linear structure and to noncompact setting. An application to von Neumann type minimax theorems is given. 展开更多
关键词 h-space H-convex weakly H-convex continuous selection theorem coincidence theorem
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KKM TECHNIQUE AND ITS APPLICATIONS 被引量:1
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作者 Zhang Shi-sheng Ma Yi-hai 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1993年第1期11-20,共10页
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... 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 this paper unify and generalize the corresponding results in the recent works. 展开更多
关键词 h-space KKM mapping alternative theorem coincidence theorem
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AN EXISTENCE THEOREM FOR MAXIMAL ELEMENTS AND ITS APPLICATIONS
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作者 Hou Jicheng He Wei 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2007年第2期235-244,共10页
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... 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 generalized game in H-spaces with infinitely many players and with L*-majorized correspondences is given. 展开更多
关键词 maximal element generalized game EQUILIBRIUM h-space L*-majorized correspondence
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Complementarity Problems for Multivalued Non-Monotone Operators in Banach Spaces
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作者 郭伟平 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2007年第2期323-327,共5页
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.
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On Fixed Point and Almost Fixed Point Problems of Lower Semicontinuous Type Multivalued Mappings 被引量:2
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作者 Liang Yu LUAN Xian WU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第5期1027-1034,共8页
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
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Homotopy Exponents of Stiefel Manifolds in the Stable Range
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作者 Hao ZHAO Li Nan ZHONG Wen Huai SHEN 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2016年第9期1080-1088,共9页
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
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ON A KIND OF GENERALIZED QUASI-VARIATIONAL INEQUALITIES AND FAN's MINIMAX INEQUALITY WITHOUT CONVEXITY
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作者 SHENZIFEI WUXIAN 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2001年第3期337-342,共6页
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
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