We prove the existence of the Lagrange multipliers for a constrained optimization problem, being the constraint set given by the convex set which characterizes the most important equilibrium problems. In order to obtain our result, we’ll make use of the new concept of quasi relative interior.
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Daniele, P. Lagrange multipliers and infinite-dimensional equilibrium problems. J Glob Optim 40, 65–70 (2008). https://doi.org/10.1007/s10898-007-9182-9
- Lagrange multipliers
- Separation theory
- Equilibrium problems
- Quasi relative interior