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《Applied Mathematics:A Journal of Chinese Universities》 2017年03期
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On vector variational-like inequalities and vector optimization problems with (G,α)-invexity

JAYSWAL Anurag  CHOUDHURY Sarita  
【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.
【作者单位】Department
【分类号】:O224
【正文快照】:
§1 IntroductionVariational inequalities introduced by Stampacchia[19]represents a natural generalizationto the variational theory of boundary value problems for partial differential equations.Sincethen,the study of variational inequalities and its gener

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