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A Vector Variational-Like Inequality for Compact Acyclic Multifunctions and its Applications

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Vector Variational Inequalities and Vector Equilibria

Part of the book series: Nonconvex Optimization and Its Applications ((NOIA,volume 38))

Abstract

A vector variational-like inequality for compact acyclic multifunctions is presented. This is used to introduce the generalized vector quasi-variational inequality and the generalized vector quasi-complementarity problem in ordered vector spaces. Some existence theorems for these problems are proved.

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Authors and Affiliations

  1. Department of Mathematics and Systems Science, Nanchang University, Nanchang, P.R. China

    Junyi Fu

Authors
  1. Junyi Fu
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Pisa, Pisa, Italy

    Franco Giannessi

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© 2000 Kluwer Academic Publishers

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Fu, J. (2000). A Vector Variational-Like Inequality for Compact Acyclic Multifunctions and its Applications. In: Giannessi, F. (eds) Vector Variational Inequalities and Vector Equilibria. Nonconvex Optimization and Its Applications, vol 38. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0299-5_10

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  • DOI: https://doi.org/10.1007/978-1-4613-0299-5_10

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7985-0

  • Online ISBN: 978-1-4613-0299-5

  • eBook Packages: Springer Book Archive

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