Arcwise Connected Cone-Convex Functions and Mathematical Programming
The concept of arcwise connected cone-convex functions in topological vector spaces is introduced. Optimality conditions and duality theorems for a vector-valued nonlinear programming problem involving arcwise connected cone-convex functions are discussed.
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| Vydané v: | Journal of optimization theory and applications Ročník 118; číslo 2; s. 339 - 352 |
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| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
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New York, NY
Springer
01.08.2003
Springer Nature B.V |
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| ISSN: | 0022-3239, 1573-2878 |
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| Abstract | The concept of arcwise connected cone-convex functions in topological vector spaces is introduced. Optimality conditions and duality theorems for a vector-valued nonlinear programming problem involving arcwise connected cone-convex functions are discussed. |
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| AbstractList | The concept of arcwise connected cone-convex functions in topological vector spaces is introduced. Optimality conditions and duality theorems for a vector-valued nonlinear programming problem involving arcwise connected cone-convex functions are discussed. |
| Author | Wang, Y.H. Fu, J.Y. |
| Author_xml | – sequence: 1 givenname: J.Y. surname: Fu fullname: Fu, J.Y. – sequence: 2 givenname: Y.H. surname: Wang fullname: Wang, Y.H. |
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| Cites_doi | 10.1007/BF00934030 10.1007/BF00935233 10.1017/S0004972700009333 10.1017/S0004972700027441 10.1080/01630568708816230 10.1080/02331938508843061 10.1007/BF00934081 10.1023/A:1021725200423 10.1525/9780520411586-036 |
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| DOI | 10.1023/A:1025451422581 |
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| Keywords | optimality conditions Arcwise connected cone-convex functions vector-valued Lagrangian saddle points |
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| References | D. Bhatia (467905_CR4) 1999; 100 G. Singh (467905_CR2) 1983; 41 H. W. Kuhn (467905_CR7) 1951 M. Avriel (467905_CR1) 1980; 32 J. Abadie (467905_CR8) 1967 M. Hayashi (467905_CR10) 1982; 38 T. Weir (467905_CR6) 1987; 9 V. Jeyakumar (467905_CR11) 1985; 16 R. N. Mukherjee (467905_CR3) 1985; 31 T. Weir (467905_CR5) 1988; 38 J. Jahn (467905_CR9) 1986 |
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| Title | Arcwise Connected Cone-Convex Functions and Mathematical Programming |
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