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Lagrange multipliers and infinite-dimensional equilibrium problems

Journal of Global Optimization volume 40, pages 65–70 (2008)Cite this article

Abstract

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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Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Catania, Viale A. Doria 6, 95125, Catania, Italy

    Patrizia Daniele

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  1. Patrizia Daniele
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Correspondence to Patrizia Daniele.

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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

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  • DOI: https://doi.org/10.1007/s10898-007-9182-9

Keywords

  • Lagrange multipliers
  • Separation theory
  • Equilibrium problems
  • Quasi relative interior