拟a -预凸函数的刻画及其应用

2015 7th International Conference on Intelligent Human-Machine Systems and Cybernetics Pub Date : 2015-08-26 DOI:10.1109/IHMSC.2015.161

Wang Haiying, Fu Zu-feng

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引用次数: 0

摘要

本文研究了一类重要的广义凸函数强拟α-预凸函数。讨论了强拟α-预凸函数、拟α-预凸函数、严格拟α-预凸函数和半严格拟α-预凸函数之间的关系。得到了它在中点强拟α-先验性上的三个重要性质定理。最后，将强拟α-预逆函数应用于优化问题的研究。

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Characterizations and Applications of Quasi A-Preinvex Functions

In this paper, one important type of generalized convex functions termed as strongly quasi α-preinvex functions is studied. The relationships among strongly quasi α-preinvex functions, quasi α-preinvex functions, strictly quasi α-preinvex functions and semi strictly quasi α-preinvex functions have been discussed. Three important theorems of properties have been obtained for it on the middle point strongly quasi α-preinvexity. Finally, strongly quasi α-preinvex functions are used in the study of optimization problems.

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2015 7th International Conference on Intelligent Human-Machine Systems and Cybernetics

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