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Distributed optimal dispatch of virtual power plant based on ELM transformation
A note on preinvexity
| 1. | Department of Mathematics, Chongqing Normal University, Chongqing 400047 |
References:
| [1] |
S. R. Mohan and S. K. Neogy, On invex sets and preinvex functions, Journal of Mathematical Analysis and Applications, 189 (1995), 901-908.
doi: 10.1006/jmaa.1995.1057. |
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X. M. Yang, X. Q. Yang and K. L. Teo, Characterizations and applications of prequasi-invex functions, Journal of Optimization Theory and Applications, 110 (2001), 645-668.
doi: 10.1023/A:1017544513305. |
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X. M. Yang, X. Q. Yang and K. L. Teo, Generalized invexity and generalized invariant monotonicity, Journal of Optimization Theory and Applications, 117 (2003), 607-625.
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X. M. Yang, X. Q. Yang and K. L. Teo, Criteria for generalized invex monotonicities, European Journal of Operational Research, 164 (2005), 115-119.
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D. H. Yuan, X. L. Liu and G. M. Lai, Note on generalized invex functions, Optimization Letters, 7 (2013), 617-623.
doi: 10.1007/s11590-012-0446-z. |
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C. Zălinescu, A Critical View on Invexity, Journal of Optimization Theory and Applications, [DOI 10.1007/s10957-013-0506-2].
doi: DOI 10.1007/s10957-013-0506-2. |
show all references
References:
| [1] |
S. R. Mohan and S. K. Neogy, On invex sets and preinvex functions, Journal of Mathematical Analysis and Applications, 189 (1995), 901-908.
doi: 10.1006/jmaa.1995.1057. |
| [2] |
X. M. Yang, X. Q. Yang and K. L. Teo, Characterizations and applications of prequasi-invex functions, Journal of Optimization Theory and Applications, 110 (2001), 645-668.
doi: 10.1023/A:1017544513305. |
| [3] |
X. M. Yang, X. Q. Yang and K. L. Teo, Generalized invexity and generalized invariant monotonicity, Journal of Optimization Theory and Applications, 117 (2003), 607-625.
doi: 10.1023/A:1023953823177. |
| [4] |
X. M. Yang, X. Q. Yang and K. L. Teo, Criteria for generalized invex monotonicities, European Journal of Operational Research, 164 (2005), 115-119.
doi: 10.1016/j.ejor.2003.11.017. |
| [5] |
D. H. Yuan, X. L. Liu and G. M. Lai, Note on generalized invex functions, Optimization Letters, 7 (2013), 617-623.
doi: 10.1007/s11590-012-0446-z. |
| [6] |
C. Zălinescu, A Critical View on Invexity, Journal of Optimization Theory and Applications, [DOI 10.1007/s10957-013-0506-2].
doi: DOI 10.1007/s10957-013-0506-2. |
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