References
- Ball , J.M. 1977 . Convexity conditions and existence theorems in nonlinear elasticity . Arch. Rat. Mech. Anal , 63 : 337 – 403 .
- Beckenbach , E.F. 1937 . Generalized convex functions . Bull. Am. Math. Soc , 43 : 336 – 371 .
- Beckenbach , E.F. and Bing , R.H. 1945 . On generalized convex functions . Trans. Am. Math. SOC , 58 : 220 – 230 .
- Beckenbach , E.F. and Jackson , L.K. 1953 . Subfunctions of several variables . Pac. Journ. Math , 3 : 291 – 313 .
- Ben-Tal , A. and Ben-Israel , A. 1976 . A generalisation of convex functions via support properties . Journ. Australian Math. Soc , 21 : 341 – 361 . Ser. A
- Ban-Tal , A. 1977 . On generalized means and generalized convex functions . Journ. Opt. Theory Appl , 21 : 1 – 13 .
- Berge , C. 1966 . Espaces Topologiques Paris
- Castagnoli , E. and Mazzoleni , P. 1987 . Generalized connectedness for families of arcs . Optimization , 18 : 3 – 18 .
- DeFinetti , B. 1949 . Sulle stratificazioni converse . Ann. Math. Pura Appl , 30 : 102 – 118 .
- Dacorogna , B. 1989 . “ Direct methods in the calculus of variations ” . In Applied Mathematical Sciences , Vol. 78 , Berlin : Springer-Verlag . Heidelberg
- Dolecki , S. and Kurcyusz , S. 1978 . On Ф-convexity in extremal problems . SIAM Journ. Control Opt , 16 : 227 – 300 .
- Favard , J. 1929 . Problèmes d’extremum relatifs aux courves convexes I, Ann. Ecole Norm. Sup , 46 : 357
- Hartwig , H. 1983 . On generalized convex functions . Optimization , 14 : 49 – 60 .
- Hartwig , H. 1985 . Generalized convexities of lower semi-continuous functions . Optimization , 16 : 663 – 668 .
- Hu , T.C. , Klee , V. and Larman , D. 1989 . Optimization of globally convex functions . SIAM Journ. Control Opt , 27 : 1026 – 1047 .
- März , C. 1990 . “ Ein Optimierungsproblem zu Favards “fonction penetrante” . Universität Leipzig . Diplomarbeit
- Morrey , C.B. 1952 . Quasiconvexity and the lower semicontinuity of multiple integrals . Pac.Journ. Math , 2 : 25 – 53 .
- Morrey , C.B. 1966 . Multiple Integrals in the Calculus of Variations , Berlin : Springer .
- Phu H. X. Univ. Augsburg 1990 Gamma-subdifferential and gamma-convexity of functions on the real line, Inst. für Math., Report No. 259
- Phu H. X. Univ. Augsburg 1991 Gamma-subdifferential and gamma-convexity of functions on a Banach space, Inst. für Math. Report No. 270
- Roberts , A.W. and Varberg , D.E. 1973 . Convex Functions , New York : Academic Press .
- Scarf H. The optimality of (s, S) -policies in the dynamic inventory problem 1959 Proc. of the First Stanford Symp
- Schaible , S. and Ziemba , W.T. 1981 . Generalized Concavity in Optimization and Economics , New York : Academic Press .
- Söllner , B. 1991 . “ Eigenschaften y-grobkonvexer Mengen und Funktionen. Untersuchungen zu einer neuen Verallgemeinerung der Konvexitat ” . Universitat Leipzig . Diplomarbeit
- Yu , P.L. 1974 . Cone-convexity, cone extreme points and nondominated solutions in decision problems with multiobjectives . Journ. Opt. Theory Appl , 14 : 319 – 337 .