Generalized preinvex functions and their properties

[摘要] We introduce some new classes of preinvex and invex functions, which are calledϕ-preinvex andϕ-invex functions. We study some properties of these classes ofϕ-preinvex (ϕ-invex) functions. In particular, we establish the equivalence among theϕ-preinvex functions,ϕ-invex functions, andϕη-monotonicity oftheir differential under some suitable conditions.

[学科分类] 应用数学