一类广义不变凸函数和向量变分不等式

Abstract

Abstract: In this paper, a new kind of generalized invex functions, termed (α,ρ,η)-invex function, is introduced, and some examples are proposed to illustrate its existence. Under the assumption of (α,ρ,η)-invexity, it presents the close relationship between variational-like inequality and multi-objective programming. By using KKM theorem, the existence results are established for vector variational-like inequalities.

Key words: Vector variational inequalities, Multi-objective programming, Invex functions, KKM theorem

CLC Number:

O221

Li Ru, Yu Guolin, Liu Wei, Liu Sanyang. A Class of Generalized Invex Functions and Vector Variational Inequalities[J].Acta mathematica scientia,Series A, 2017, 37(6): 1029-1039.

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References

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A Class of Generalized Invex Functions and Vector Variational Inequalities

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