15
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

On continuous quasiconvex functions

&
Pages 347-359 | Received 01 Apr 1980, Published online: 27 Jun 2007

References

  • Achilles , A. , Elster , K.H. and Nehse , R. 1979 . Bibliographle zur Vektoroptiinierung (Theorie uncl Airwendungen) . Math. Operationsforsch. Statist., Ser. Optimization , 10 : 277 – 321 .
  • Bair , J. 1976 . Some Geomefcric Conditions for Optimization of a Strictly Quasi-Convex Function on an Intersection of Sets . Oper. Res. Verfahren , 25 : 15 – 27 .
  • Behringer , F.A. 1978 . Lexikographischer Ausgleich als Hypemorm-Bestapproximatkm und eigenfcliche Effizienz des linearen Pareto-Ausgleichs . ZAMM , 58 : T461 – T464 .
  • Behringer , F.A. 1979 . On Kaeamardian's Theorem aboufc Lower Semicoiitinuous Strictly Quasiconvex Functions . Zeitschr. Oper, Res , 23 : 17 – 48 .
  • Behringer , F.A. 1980 . On a Theorem of Deák Concerning the Quasiconvexity of Semi-continuous a-Quasiconvex Functions . ZAMM , 60 : 201 – 202 .
  • Behringer , F.A. 1980 . More on Kaeamardian's Theorem Concerning the Quasiconvexity of Strictly Quasiconvex Functions . ZAMM , 60 : T335 – T338 .
  • Bragard , L. 1970 . Programmation quasi-concave . Bull. Soc. Roy. Sci. Liege , 39 : 478 – 485 .
  • Crouzeix , J.P. 1977 . Contributions a 1'etude des fonctions quasiconvexes , Universite de Clermont-Ferrand II . Doctoral thesis
  • Czászár , A. 1949 . Sur une classe cle fonctions non mesurables . Fund. Math , 36 : 72 – 76 .
  • Deák , E. 1962 . Über konvexe und interne Funktionen sowie eine gemeinsame Verallge-meinerung von beiden . Annal. Univ. Sci. Budapestiensis, Sectio Mathematica , 5 : 109 – 154 .
  • Descloux , J. 1963 . Approximation in L p and chebyshev Approximations . J.Soc.Indust.Appl.Math , 11 : 1017 – 1026 .
  • Elster , K.H. and Folgmann , G. 1963 . Verallgemeinert Konvexe Funcktionale in linearen Räumen . Wiss Zeiltschrift Technische Hochschule Ilmenau , 20 ( 1974 ) : 11 – 30 .
  • Karamardian , S. 1967 . Strictly Quasiconvex (Concave) Fucntions and Duality in Mathematical Programming . J.Math. Anal. Appll , 20 ( 1974 ) : 344 – 358 .
  • Mangasarian , O.L. 1969 . Nonlinear Programming New York
  • Marcus , S. 1958 . Sur une classe de fonctions définies par des inégalités, introduite par M. A . Csâszár. Acta Sci. Math , 19 : 192 – 218 .
  • Ponsteik , J. 1967 . Seven Kinds of Convexity . SIAM Review , 9 : 115 – 119 .
  • Thompson , W.A. Jr and Parke , D.W. 1973 . Some Properties of Generalized Concave Functions . Oper. Res , 21 : 305 – 313 .
  • Vangeldere , J. 1973 . Sur les functions quasi-concaves et strictement quasi-concaves sur un ensemble convexe relativement a Fun de ses sous-ensembles non vides . Bull. Soc. Pvoy. Sci. Liège , 42 : 85 – 92 .
  • Walberer , R. 1980 . “ Verallgemeinert konvexe Funktionen ” . In Master's thesis , Munich University of Technology .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.