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- W2377237534 abstract "The paper gives a class of new generalized convex function—strongly G-preinvex functions,it is a true generalization of strong preinvex function.First,three examples have been got to show that it's existence,and strongly G-preinvex function is different from G-preinvex function and strictly G-preinvex function.Then,we discuses three properties of strongly G-preinvex function.Finally,we give a sufficient condition about strongly G-preinvex function under the case that G-preinvex function,namely,Let the set KRn is invex set with η:Rn×Rn→Rn,η is satisfied with condition C,f:K→R is a G-preinvex function.if ■α0,s.t.x,y∈K,λ∈ [0,1] have f(y+λη(x,y))≤G-1[λG(f(x))+(1-λ)G(f(y))-αλ(1-λ)‖η(x,y)‖2].Then,f is a strongly G-preinvex function on K with respect to η." @default.
- W2377237534 created "2016-06-24" @default.
- W2377237534 creator A5046128316 @default.
- W2377237534 date "2011-01-01" @default.
- W2377237534 modified "2023-09-24" @default.
- W2377237534 title "Strongly G-Preinvex Functions" @default.
- W2377237534 hasPublicationYear "2011" @default.
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