Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of Chongqing Normal University(Natural Science)》 2008-02
Add to Favorite Get Latest Update

KKM Type Theorem and Section Theorem in FC-Spaces

WANG Bin(Dept.of Mathematics,Neijiang Teachers College,Neijiang Sichuan 641112,China)  
In 1929,Knaster,Kuratowski and Mazurkiewicz established the celebrated KKM theorem and its generalizations are of fundamental importance in modern nonlinear analysis.Recently many authors have also extended KKM mapping and established corresponding KKM theorems、section theorems、fixed point theorems and coincidence theorems in several kinds of spaces.In this paper the concept of FC-KKM mapping is introduced in finitely continuous topological spaces without any convexity and linear structure.Meanwhile,a new nonempty intersection theorem is proved in finitely continuous topological spaces without any convexity and linear structure.By applying the nonempty intersection theorem,we prove a new fixed point theorem with transfer closed valued mapping in finitely continuous topological spaces without any convexity and linear structure.And a new FC-KKM type theorems with transfer closed valued mapping and section theorems are proved in finitely continuous topological spaces without any convexity and linear structure by applying the fixed point theorem,Brouwer fixed point theorem and the continuous partition of unity theorem.In application,we utilize those results to study the coincidence point problem and prove a new coincidence theorem with transfer open valued mapping in finitely continuous topological spaces without any convexity and linear structure.These results extend and generalize some known results.
【Fund】: 四川省教育厅重点科研基金(No.2003A081);; 四川省教育厅重点学科基金(No.SZD0406)
【CateGory Index】: O177.91
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【References】
Chinese Journal Full-text Database 1 Hits
1 WANG Bin1,2, SHI Yong-guo1(1. College of Mathematics and Information Science,Neijiang Normal University,Neijiang 641112,Sichuan;2. Key Laboratory of Numerical Simulation of Sichuan Province,Neijiang Normal University,Neijiang 641112,Sichuan);Section Theorem and Its Applications in FC-Spaces[J];Journal of Sichuan Normal University(Natural Science);2009-05
【Citations】
Chinese Journal Full-text Database 1 Hits
1 DENG Fang-ping,DING Xie-ping(College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);KKM Selections and KKM Theorems in Topological Space[J];Journal of Sichuan Normal University(Natural Science);2005-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 HAN Min ( College of Applied Sciences, Beijing University of Technology, Beijing 100022, China );Generalization of Ky Fan's Minimax Inequality[J];Journal of Beijing Polytechnic University;2003-01
2 ZHANG yun-yan(Department of Math,Bijie University,Bijie Guizhou,551700,China);Ishikawa and Mann Iterative Approximations with Random Mixed Errors of Solutions to Variational Inclusions with Accretive Mappings in Banach Spaces[J];Journal of Bijie University;2006-04
3 JIAO He-hua(College of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China);On a Theorem of the Variational Inequality and Optimization of Fixed Point[J];Journal of Chongqing Institute of Technology;2006-05
4 WANG\ Da cheng (Department of Computers,Chongqing Jiaotong University,Chongqing 400074,China) Abstract:In this paper,the existence problems of solutions to some;Generalizations of abstractly generalized bi-quasi-variational inequalities[J];Journal of Chongqing Jiaotong Institute;2001-01
5 XIONG Ming,YANG Ze heng,WANG Wen wu (Dept.of Mathematics,Dali Teachers College,Dali Yunnan,671000,China);A Topological KKM Theorem and Its Application[J];Journal of Chongqing Teachers College(Natural Science Edition);2001-02
6 LUO Chun-lin, YAO Yi-min(Department of Mathematics, Kangding Nationals Teachers College, Kangding Sichuan 626001, China);The Ishikawa Iterative Algorithms to Solutions of Browder Variational Inequalities with Φ-Strongly Monotone and Semicontinuous Mapping[J];Journal of Chongqing Teachers College(Natural Science Edition);2005-03
7 PENG Zai-yun,LI Ting,AO Jun,PENG Tao(College of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China);Three Classes of Generalized G-pseudomonotonicity、G-convexity and Applications[J];Journal of Chongqing Normal University(Natural Science Edition);2007-01
8 Da-cheng Wang Shi-yi Cao;ON A NEW CLASS OF GENERALIZED BI-QUASI-VARIATIONAL INEQUALITIES[J];Journal of Chongqing Teachers College;1994-02
9 Wang Dacheng (DepaRtmemt of Mathematics, Chongqing Teacher's College);Abstract Vector Valued Variational Inequalities in Interval Spaces[J];Journal of Chongqing Teachers College;1994-04
10 Zhang shi-sheng;Zhang Chang-bin (Sichuan University ) (Yungyang Teacher's College);QUASI-VARIATIONAL INEQUALITIEA ONPAPACOMPACT CONVEX SETS WITH APPLICATIONA TO SOCIAL EQUILIBRIUM AND GAME PROBLEMS[J];;1995-02
【Co-references】
Chinese Journal Full-text Database 3 Hits
1 HE Rong-hua, DING Xie-ping (College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);Generalized R-KKM Type Theorems in the Product of L-convexSpace with Applications[J];Journal of Sichuan Normal University(Natural Science);2004-01
2 DENG Fang-ping,DING Xie-ping(College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);KKM Selections and KKM Theorems in Topological Space[J];Journal of Sichuan Normal University(Natural Science);2005-04
3 HE Rong-hua~(1,2),DING Xie-ping~2 (1. Department of Computation Science, Chengdu University of Information Technology, Chengdu 610103, Sichuan; 2. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);The Variant Forms of KKM Type Theorems and Their Applications in the G-convex Space[J];Journal of Sichuan Normal University(Natural Science);2005-02
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved