A Class of G‐Semipreinvex Functions and Optimality

Xue Wen Liu, Ke Quan Zhao and Zhe Chen

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

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

Date: 2012
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https://doi.org/10.1155/2012/168172

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:168172

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