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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 65, 2016 - Issue 4
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Articles

A simplified conjugation scheme for lower semi-continuous functions

Leonardo M. EliasPrograma de Pós-Graduação em Matemática, Universidade Federal do Paraná, Curitiba, Brazil.;CAPES Foundation, Ministry of Education of Brazil, Brasília, Brazil.View further author information
&
Juan E. Martínez-LegazDepartament d’Economia i d’Història Econòmica, Universitat Autònoma de Barcelona, Bellaterra, Spain.;MOVE (Markets, Organizations and Votes in Economics), Bellaterra, Spain.Correspondence[email protected]
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Pages 751-763 | Received 09 Jan 2015, Accepted 25 Jul 2015, Published online: 01 Sep 2015

References

  • Cotrina J, Karas EW, Ribeiro AA, Sosa W, Yun YJ. Moreau--Fenchel conjugation for lower semi-continuous functions. Optimization. 2011;60:1045–1057.
  • Leonard IE, Sundaresan K. Geometry of Lebesgue-Bochner function spaces -- smoothness. Trans. Amer. Math. Soc. 1974;198:229–251.
  • Phelps RR. Convex functions, monotone operators and differentiability. Berlin: Springer; 1993.
  • Stromberg KR. Introduction to classical real analysis. Belmont, California: Wadsworth International; 1981.
  • Penot J-P. Conjugacies adapted to lower semicontinuous functions. Optimization. 2015;64:473–494.
  • Sosa W. Representation of continuous functions and its applications. J. Optim. Theory Appl. 2013;159:795–804.
  • Martínez-Legaz JE. Generalized convex duality and its economic applications. In: Hadjisavvas N, Komlósi S, Schaible S, editor. Handbook of generalized convexity and generalized monotonicity. New York (NY): Springer; 2005. p. 237–292. ( Nonconvex optimization and and its applications; vol. 76).
  • Rubinov A. Abstract convexity and global optimization. Dordrecht, Boston: Kluwer Academic; 2000.
  • Singer I. Abstract convex analysis. New York (NY): Wiley; 1997.
  • Rockafellar RT, Wets RJ-B. Variational analysis. Berlin: Springer; 1998.
  • Duffin RJ. Convex analysis treated by linear programming. Math. Program. 1973;4:125–143.

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