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Scalar and vector equilibrium problems with pairs of bifunctions

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Abstract

In this paper, existence results for scalar and vector equilibrium problems involving two bifunctions are established. To this aim, a new concept of generalized pseudomonotonicity for a pair of bifunctions is introduced. It leads to existence criteria different from the ones encountered in the literature. The given applications refer to minimax inequalities and variational inequality problems.

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Acknowledgements

The author would like to thank the referees for their helpful comments and suggestions.

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  1. Department of Mathematics, University of Oradea, University Street 1, Oradea, 410087, Romania

    Mircea Balaj

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  1. Mircea Balaj
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Balaj, M. Scalar and vector equilibrium problems with pairs of bifunctions. J Glob Optim 84, 739–753 (2022). https://doi.org/10.1007/s10898-022-01159-7

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  • DOI: https://doi.org/10.1007/s10898-022-01159-7

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