Generalized Convexity

Volume 405 of the series Lecture Notes in Economics and Mathematical Systems pp 153-170

Duality theory for convex/quasiconvex functions and its application to optimization

  • J. G. B. FrenkAffiliated withEconometric Institute, Erasmus University
  • , D. M. L. DiasAffiliated withEconometric Institute, Erasmus University
  • , J. GromichoAffiliated withEconometric Institute, Erasmus University

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In this paper an intuitive and geometric approach is presented explaining the basic ideas of convex/quasiconvex analysis and its relation to duality theory. As such, this paper does not contain new results but serves as a hopefully easy introduction to the most important results in duality theory for convex/quasiconvex functions on locally convex real topological vector spaces. Moreover, its connection to optimization is also discussed.