Abstract
In this paper we survey results concerning major properties of variational inequality problems and equilibrium problems under generalized monotonicity assumptions rather than monotonicity. Scalar and vectorial versions of these models are considered. The analysis is done for both pseudomonotone and quasimonotone maps and their variants.
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Hadjisavvas, N., Schaible, S. (1998). Quasimonotonicity and Pseudomonotonicity in Variational Inequalities and Equilibrium Problems. In: Crouzeix, JP., Martinez-Legaz, JE., Volle, M. (eds) Generalized Convexity, Generalized Monotonicity: Recent Results. Nonconvex Optimization and Its Applications, vol 27. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3341-8_11
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DOI: https://doi.org/10.1007/978-1-4613-3341-8_11
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