An intersection theorem in L-convex spaces with applications
A new intersection theorem is obtained in L-convex spaces without linear structure. As its applications, a fixed point theorem, a maximal element theorem, a coincidence theorem, some new minimax inequalities and a saddle point theorem are given in L-convex spaces. Our results generalize many known t...
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| Published in | Journal of mathematical analysis and applications Vol. 312; no. 1; pp. 343 - 356 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
San Diego, CA
Elsevier Inc
01.12.2005
Elsevier |
| Subjects | |
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| Abstract | A new intersection theorem is obtained in
L-convex spaces without linear structure. As its applications, a fixed point theorem, a maximal element theorem, a coincidence theorem, some new minimax inequalities and a saddle point theorem are given in
L-convex spaces. Our results generalize many known theorems in the literature. |
|---|---|
| AbstractList | A new intersection theorem is obtained in
L-convex spaces without linear structure. As its applications, a fixed point theorem, a maximal element theorem, a coincidence theorem, some new minimax inequalities and a saddle point theorem are given in
L-convex spaces. Our results generalize many known theorems in the literature. |
| Author | Lu, Haishu Tang, Deshan |
| Author_xml | – sequence: 1 givenname: Haishu surname: Lu fullname: Lu, Haishu email: tianyulu421@sina.com organization: Business School of Hohai University, Nanjing 210098, Jiangsu, PR China – sequence: 2 givenname: Deshan surname: Tang fullname: Tang, Deshan organization: College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, Jiangsu, PR China |
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| Cites_doi | 10.1006/jmaa.1998.6081 10.1016/S0893-9659(98)00099-8 10.1016/S0022-247X(03)00385-8 10.1090/S0002-9939-1983-0719003-2 10.1016/S0898-1221(02)00096-2 10.1090/S0002-9939-1987-0877039-9 10.1090/S0002-9939-1977-0467408-7 10.1006/jmaa.1998.5918 10.1007/BF01458545 10.1006/jmaa.2000.7207 10.1007/BF01349255 10.1090/S0002-9939-1991-1045601-X |
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| Keywords | Transfer compactly closed-valued (open-valued) Coincidence theorem Maximal element Minimax inequality L-quasiconcave (quasiconvex) Intersection theorem Fixed point Space application Saddle point method Linear structure Saddle point Fixed point theorem Mathematical analysis Linear space |
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| References_xml | – volume: vol. 3 start-page: 103 year: 1972 end-page: 113 ident: bib006 article-title: A minimax inequality and applications publication-title: Inequalities – volume: 11 start-page: 37 year: 1998 end-page: 41 ident: bib016 article-title: Minimax inequalities of Ky Fan publication-title: Appl. Math. Lett. – volume: 222 start-page: 138 year: 1998 end-page: 150 ident: bib002 article-title: Abstract convexity and fixed points publication-title: J. Math. Anal. Appl. – year: 1984 ident: bib001 article-title: Applied Nonlinear Analysis – volume: 96 start-page: 59 year: 1986 end-page: 62 ident: bib010 article-title: Coincidence theorems and saddle point publication-title: Proc. Amer. Math. Soc. – volume: 284 start-page: 656 year: 2003 end-page: 671 ident: bib011 article-title: Fixed point and maximal theorems with applications to abstract economies and minimax inequalities publication-title: J. Math. Anal. 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| Snippet | A new intersection theorem is obtained in
L-convex spaces without linear structure. As its applications, a fixed point theorem, a maximal element theorem, a... |
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| SubjectTerms | Coincidence theorem Exact sciences and technology Fixed point Functional analysis Global analysis, analysis on manifolds Intersection theorem L-quasiconcave (quasiconvex) Mathematical analysis Mathematics Maximal element Minimax inequality Sciences and techniques of general use Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds Transfer compactly closed-valued (open-valued) |
| Title | An intersection theorem in L-convex spaces with applications |
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