Generalized preinvex functions and their properties

Muhammad Aslam Noor and Khalida Inayat Noor

International Journal of Stochastic Analysis, 2006, vol. 2006, 1-13

Abstract:

We introduce some new classes of preinvex and invex functions, which are called ϕ -preinvex and ϕ -invex functions. We study some properties of these classes of ϕ -preinvex ( ϕ -invex) functions. In particular, we establish the equivalence among the ϕ -preinvex functions, ϕ -invex functions, and ϕ η -monotonicity of their differential under some suitable conditions.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:012736

DOI: 10.1155/JAMSA/2006/12736

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