Generalized preinvex functions and their properties
Muhammad Aslam Noor, Khalida Inayat Noor · International Journal of Stochastic Analysis · 2006
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 ϕη‐monotonicity of their differential under some suitable conditions.