Scalar and vector equilibrium problems with pairs of bifunctions

Mircea Balaj ()
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Mircea Balaj: University of Oradea

Journal of Global Optimization, 2022, vol. 84, issue 3, No 8, 739-753

Abstract: 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.

Keywords: Equilibrium problem; Generalized pseudomonotonicity; Mimimax inequality; Variational inequality (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10898-022-01159-7

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