Rocky Mountain Journal of Mathematics

Convolution of Set Functions

Wei-Shen Hsia, Jae Hai Lee, and Tan-Yu Lee

Full-text: Open access

Article information

Source
Rocky Mountain J. Math., Volume 21, Number 4 (1991), 1317-1325.

Dates
First available in Project Euclid: 5 June 2007

Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1181072909

Digital Object Identifier
doi:10.1216/rmjm/1181072909

Mathematical Reviews number (MathSciNet)
MR1147862

Zentralblatt MATH identifier
0803.90100

Subjects
Primary: 90C25: Convex programming

Citation

Hsia, Wei-Shen; Lee, Jae Hai; Lee, Tan-Yu. Convolution of Set Functions. Rocky Mountain J. Math. 21 (1991), no. 4, 1317--1325. doi:10.1216/rmjm/1181072909. https://projecteuclid.org/euclid.rmjm/1181072909


Export citation

References

  • D. Begis and R. Glowinski, Application de la methode des elements finis a l'approximation d'un probleme de domaine optimal, Methodes de resolution des problemes approches, Appl. Math. Opt. 2, 2 (1975), 130-169.
  • J. Cea, A. Gioan and J. Michel, Quelques resultats sur l'identification de domaines, Calcolo 10 (1973), 133-145.
  • J.H. Chou, W.S. Hsia and T.Y. Lee, On multiple objective programming problems with set functions, J. Math. Anal. Appl. 105 (1985), 383-394.
  • --------, -------- and --------, Epigraphs of convex set functions, J. Math. Anal. Appl. 118 (1986), 247-254.
  • --------, -------- and --------, Convex programming with set functions, Rocky Mountain J. Math. 17 (1987), 535-543.
  • W.S. Hsia and T.Y. Lee, Lagrangian function and duality theory in multiobjective programming with set functions, JOTA 57 (1988), 239-251.
  • H.B. Lai and S.S. Yang, Saddle point and duality in the optimization theory of convex set functions, J. Austral. Math. Soc., Ser. B 24 (1982), 130-137.
  • R.J.T. Morris, Optimal constrained selection of measurable subset, J. Math. Anal. Appl. 70 (1979), 546-562.
  • R.T. Rockafellar, Convex analysis, Princeton Univ. Press, Princeton, NJ, (1970).
  • P.K.C. Wang, On a class of optimization problems involving domain variations, in International Symposium on New Trends in System Analysis, (Versailles, France, Dec., 1976), Lecture Notes in Control and Information Sciences, vol. 2, Springer-Verlag, Berlin, 1977.