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Approximate solutions and optimality conditions of vector variational inequalities in Banach spaces

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Abstract

In this paper, we introduce and discuss the notion of ε-solutions of vector variational inequalities. Using convex analysis and nonsmooth analysis, we provide some sufficient conditions and necessary conditions for a point to be an ε-solution of vector variational inequalities.

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Authors and Affiliations

  1. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hum, Kowloon, Hong Kong, China

    X. Q. Yang

  2. Department of Mathematics, Yunnan University, Kunming, 650091, China

    X. Y. Zheng

Authors
  1. X. Q. Yang
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  2. X. Y. Zheng
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Correspondence to X. Q. Yang.

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Yang, X.Q., Zheng, X.Y. Approximate solutions and optimality conditions of vector variational inequalities in Banach spaces. J Glob Optim 40, 455–462 (2008). https://doi.org/10.1007/s10898-007-9183-8

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  • DOI: https://doi.org/10.1007/s10898-007-9183-8

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