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New Type of Generalized Vector Quasiequilibrium Problem

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Abstract

In this paper, we introduce a new type of vector quasiequilibrium problem with set-valued mappings and moving cones. By using the scalarization method and fixed-point theorem, we obtain its existence theorem. As applications, we derive some existence theorems for vector variational inequalities and vector complementarity problems.

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Authors and Affiliations

  1. Department of Mathematics, Nanchang University, Nanchang, China

    J. Y. Fu, S. H. Wang & Z. D. Huang

Authors
  1. J. Y. Fu
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  2. S. H. Wang
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  3. Z. D. Huang
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Corresponding author

Correspondence to J. Y. Fu.

Additional information

Communicated by X.Q. Yang.

This work was supported by the National Natural Science Foundation of China. The authors are grateful to Professor X.Q. Yang and the referees for valuable comments and suggestions improving the original draft.

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Fu, J.Y., Wang, S.H. & Huang, Z.D. New Type of Generalized Vector Quasiequilibrium Problem. J Optim Theory Appl 135, 643–652 (2007). https://doi.org/10.1007/s10957-007-9286-x

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