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Vector and Ordered Variational Inequalities and Applications to Order-Optimization Problems on Banach Lattices

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  • Linsen Xie
  • Jinlu Li
  • Wenshan Yang

Abstract

We investigate the connections between vector variational inequalities and ordered variational inequalities in finite dimensional real vector spaces. We also use some fixed point theorems to prove the solvability of ordered variational inequality problems and their application to some order-optimization problems on the Banach lattices.

Suggested Citation

  • Linsen Xie & Jinlu Li & Wenshan Yang, 2013. "Vector and Ordered Variational Inequalities and Applications to Order-Optimization Problems on Banach Lattices," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-7, September.
    • Handle: RePEc:hin:jnljam:439394
    DOI: 10.1155/2013/439394
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