On vector variational-like inequalities and vector optimization problems with (G,α)-invexity
【摘要】：The aim of this paper is to study the relationship among Minty vector variationallike inequality problem, Stampacchia vector variational-like inequality problem and vector optimization problem involving(G, α)-invex functions. Furthermore, we establish equivalence among the solutions of weak formulations of Minty vector variational-like inequality problem,Stampacchia vector variational-like inequality problem and weak efficient solution of vector optimization problem under the assumption of(G, α)-invex functions. Examples are provided to elucidate our results.
§1 IntroductionVariational inequalities introduced by Stampacchiarepresents a natural generalizationto the variational theory of boundary value problems for partial differential equations.Sincethen,the study of variational inequalities and its gener