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From Scalar to Vector Equilibrium Problems in the Quasimonotone Case

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Abstract

In a unified approach, existence results for quasimonotone vector equilibrium problems and quasimonotone (multivalued) vector variational inequality problems are derived from an existence result for a scalar equilibrium problem involving two (rather than one) quasimonotone bifunctions. The results in the vector case are not only obtained in a new way, but they are also stronger versions of earlier existence results.

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Authors and Affiliations

  1. Department of Mathematics, University of the Aegean, Samos, Greece

    N. Hadjisavvas (Professor)

  2. A. G. Anderson Graduate School of Management, University of California, Riverside, California

    S. Schaible (Professor)

Authors
  1. N. Hadjisavvas
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  2. S. Schaible
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Hadjisavvas, N., Schaible, S. From Scalar to Vector Equilibrium Problems in the Quasimonotone Case. Journal of Optimization Theory and Applications 96, 297–309 (1998). https://doi.org/10.1023/A:1022666014055

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  • DOI: https://doi.org/10.1023/A:1022666014055

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