A Class of -Semipreinvex Functions and Optimality

Xue Wen Liu, Ke Quan Zhao and Zhe Chen

Journal of Applied Mathematics, 2012, vol. 2012, 1-12

Abstract:

A class of -semipreinvex functions, which are some generalizations of the semipreinvex functions, and the -convex functions, is introduced. Examples are given to show their relations among -semipreinvex functions, semipreinvex functions and -convex functions. Some characterizations of -semipreinvex functions are also obtained, and some optimality results are given for a class of -semipreinvex functions. Ours results improve and generalize some known results.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:168172

DOI: 10.1155/2012/168172

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