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《Acta Analysis Functionalis Applicata》 2009-01
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On Nonlinear Operator in M-PN Space

YE Mei-yan, ZHU Chuan-xi, ZHANG Xiao-zhi Department of Mathematics, Nanchang University, Nanchang 330031, China  
Some problems of nonlinear operator T are investigated in Menger PN space, utilizing Laray-Schauder topological degree theorem. A series of sufficient conditions for which the compact continuous operator T has an intrinsic value λ and has an intrinsic element corresponding with λ on W are established. Meanwhile, some important conclusions are improved and generalized.
【Fund】: 国家自然科学基金(10461007);; 江西省自然科学基金(0411043)
【CateGory Index】: O177.3
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【References】
Chinese Journal Full-text Database 3 Hits
1 LUO Ting;ZHU Chuanxi;Department of Mathematics,Nanchang University;;Intrinsic Value and Intrinsic Element Problems of Semi-Closed 1-Set Contractive Operators in Z-P-S Spaces[J];应用泛函分析学报;2014-03
2 LUO Lei,ZHU Chuanxi Department of Mathematic,Nanchang University,Nanchang 330031,China;Some Nonlinear Problems in M-PN Spaces[J];应用泛函分析学报;2012-01
3 WANG Peipei,ZHU Chuanxi Department of Mathematics,Nanchang University,Nanchang 330031,China;Common Fixed Point Theorems for Converse Commuting Mappings in M-PM Space[J];应用泛函分析学报;2011-03
【Citations】
Chinese Journal Full-text Database 2 Hits
1 Zhu Chuanxi (Department of Mathematics, Nanchang University, Nanchang 330047) Zhu Tian (Department of Computer, Nanchang University, Nanchang 330047);SOME PROBLEMS OF PROBABILISTIC ANALYSIS IN THE Z-P-S SPACE[J];系统科学与数学;2006-01
2 ZHU CHUANXI (Department of Mathematics,Nanchang University,Nanchang 330047) ZHU TIAN (Department of Computer,Nanchang University,Nanchang 330047);INTRINSIC VALUE AND INTRINSIC ELEMENT IN THE MENGER PN SPACE[J];应用数学学报;2005-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 LI Juan;ZHU Chuanxi;Department of Mathematics,Nanchang University;;Solvability of nonlinear operator equation Ax=μxin Z-P-S Space[J];南昌大学学报(理科版);2015-01
2 LUO Ting;ZHU Chuanxi;Department of Mathematics,Nanchang University;;Intrinsic Value and Intrinsic Element Problems of Semi-Closed 1-Set Contractive Operators in Z-P-S Spaces[J];应用泛函分析学报;2014-03
3 ZHAO Hua;YAO Ze-qing;CHEN Bei;Institute of Science,PLA University of Science and Technology;;A note on some problems of probabilistic analysis in the Z-P-S spaces[J];兰州理工大学学报;2014-01
4 ZHU Chuan-xi;LIU Jian-hui;Department of Mahematics,Nanchang University;;Intrinsic values and intrinsic elements of k-set-contractive operator in spaces[J];南昌大学学报(理科版);2013-06
5 ZHU Chuanxi,LIU Jianhui (Department of Mahematics ,Nanchang University ,Nanchang 330031,China);Existence of Solutions for a Class of Nonlinear Operator Equations in Z-P-S Spaces[J];应用数学;2013-02
6 TANG Chao1,CHENG Li-ying2,CHEN Chun-fang3(1.Department of Public Education,Jiangxi Vocational & Technical College of Electricity,Nanchang 330032,China; 2.Polytechnic Institute,Jiangxi Science & Technology Normal University,Nanchang 330038,China; 3.Department of Mathematics,Nanchang University,Nanchang 330031,China);Some new fixed point theorems in Z-P-S space[J];南昌大学学报(理科版);2012-02
7 XIAO Fangming,ZHU Chuanxi Department of Mathematic,Nanchang University,Nanchang 330031,China;Existence of Solutions for a Class of Nonlinear Operator Equation in Z-P-S Space[J];应用泛函分析学报;2011-02
8 ZHU Chuan-xi,XIAO Fang-ming(Department of Mathematics,Nanchang University,Nanchang 330031,China);Several theorems of constant point compact contractive probabilistic operator in Z-P-S space[J];南昌大学学报(理科版);2011-02
9 YIN Jiandong,LIAO Chuanrong (Department of Mathematics,Nanchang University,Nanchang 330031,China);The Intrinsic Values and Intrinsic Elements of Nonlinear Operators in the Menger PN Spaces[J];应用数学;2011-02
10 WANG Pei-pei,ZHU Chuan-xi(Department of Mathematics,Nanchang University,Nanchang 330031,China);Existence for Solution of Nonlinear Operator Equation Problems in Z-P-S Space[J];吉林大学学报(理学版);2011-02
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 ZHU Chuanxi,LIU Jianhui (Department of Mahematics ,Nanchang University ,Nanchang 330031,China);Existence of Solutions for a Class of Nonlinear Operator Equations in Z-P-S Spaces[J];应用数学;2013-02
2 YIN Jiandong,LIAO Chuanrong (Department of Mathematics,Nanchang University,Nanchang 330031,China);The Intrinsic Values and Intrinsic Elements of Nonlinear Operators in the Menger PN Spaces[J];应用数学;2011-02
3 WU Zhao-qi 1 ZHU Chuan-xi 2 1 Department of Mathematics, Zhejiang University, Hangzhou 310027, China2 Department of Mathematics, Nanchang University, Nanchang 330031, China;Topological degree for 1-set-contractive fields in M-PN spaces and its applications[J];Applied Mathematics:A Journal of Chinese Universities(Series B);2010-04
4 WANG Sheng,ZHU ChuanxiDepartment of Mathematics,Nanchang University,Nanchang 330031,China;Strong Probabilistic Contractor Couple and Nonlinear Operator Equations in Menger PN Space[J];应用泛函分析学报;2010-01
5 CHEN Chun-fang,ZHU Chuan-xi Department of Mathematics,Nanchang University,Nanchang 330031,China;Quasi-fixed Points of Sub-continue Mixed Monotone Operator and Iterative Method[J];应用泛函分析学报;2009-02
6 YE Mei-yan, ZHU Chuan-xi, ZHANG Xiao-zhi Department of Mathematics, Nanchang University, Nanchang 330031, China;On Nonlinear Operator in M-PN Space[J];应用泛函分析学报;2009-01
7 WU Zhao-qi ZHU Chuan-xi CHEN Xiao-li Department of Mathematics,Nanchang University,Nanchang 330031,China;Fixed Point Theorems and Coincidence PointTheorems for Hybrid Contractions in PM-Spaces[J];应用泛函分析学报;2008-04
8 LI Qiuying ZHU Chuanxi (Department of Mathematics,Nanchang University,Nanchang 330031);SOME NEW FIXED POINTS IN Z-P-S SPACE[J];系统科学与数学;2008-04
9 ZHU Chuan-xi,CHEN Xiao-li Department of Mathematic,Nanchang University,Nanchang 330047,China;Several Theorems on Fixed Point Index of Random Operator[J];应用泛函分析学报;2006-04
10 Zhu Chuanxi (Department of Mathematics, Nanchang University, Nanchang 330047) Zhu Tian (Department of Computer, Nanchang University, Nanchang 330047);SOME PROBLEMS OF PROBABILISTIC ANALYSIS IN THE Z-P-S SPACE[J];系统科学与数学;2006-01
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