Basic theoretical topics such as the existence of solutions, their stability and error bounds are analysed for the Ky Fan inequality EP(f,C)findx̄∈Csuch thatf(x̄,y)≥0for ally∈C,$$\displaystyle \begin{aligned} \text{find } \bar{x}\in C \text{ such that } f(\bar{x},y) \geq 0 \text{ for all } y\in C,\end{aligned} $$ where C⊆ ℝn is nonempty, convex and closed while f: ℝn× ℝn→ ℝ is an equilibrium bifunction, i.e., it satisfies f(x, x) = 0 for any x∈ ℝn.
Theory for Equilibria
Bigi G.;Pappalardo M.;Passacantando M.
2019-01-01
Abstract
Basic theoretical topics such as the existence of solutions, their stability and error bounds are analysed for the Ky Fan inequality EP(f,C)findx̄∈Csuch thatf(x̄,y)≥0for ally∈C,$$\displaystyle \begin{aligned} \text{find } \bar{x}\in C \text{ such that } f(\bar{x},y) \geq 0 \text{ for all } y\in C,\end{aligned} $$ where C⊆ ℝn is nonempty, convex and closed while f: ℝn× ℝn→ ℝ is an equilibrium bifunction, i.e., it satisfies f(x, x) = 0 for any x∈ ℝn.File in questo prodotto:
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