Optimal solutions to variational inequalities on Banach lattices. (English) Zbl 1231.49011

Summary: We study the existence of maximum and minimum solutions to generalized variational inequalities on Banach lattices. The main tools of analysis are the variational characterization of the generalized metric projection operator and order-theoretic fixed point theory.


49J40 Variational inequalities
47J20 Variational and other types of inequalities involving nonlinear operators (general)
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