α-convex sets and strong quasiconvexity

Mathematics of Operations Research

Volumn 22, Issue 4, 1997, Pages 998-1022

  Crouzeix, J P ^a   Ferland, J A ^b   Zalinescu C ^c  

^a UNIVERSITÉ BLAISE PASCAL   (France)

^b UNIVERSITÉ DE MONTRÉAL   (Canada)

^c ALEXANDRU IOAN CUZA UNIVERSITY OF IASI   (Romania)

Author keywords

Inf compactness; Quasiconvexity; Strong convexity

Indexed keywords

FUNCTIONS; NUMERICAL ANALYSIS; PROBLEM SOLVING; SET THEORY;

CONTINUOUS STRONG CONVEX FUNCTIONS;

NONLINEAR PROGRAMMING;

EID: 0031275286     PISSN: 0364765X     EISSN: None     Source Type: Journal    
DOI: 10.1287/moor.22.4.998     Document Type: Article

References (5)

1. Avriel, M., W. E. Diewert, S. Schaible, I. Zang (1988). Generalized Convexity, Plenum Press, New York.
2. Martos, B. (1975). Nonlinear Programming. Theory and Methods, Akadémiai Kiadó, Budapest.
3. Natanson, I. P. (1961). Theory of Functions of a Real Variable, Frederick Ungar Publishing Co., New York.
4. Vial, J. P. (1982). Strong convexity of sets and functions, J. Math. Econom. 9 187-205.
5. _ (1983). Strong and weak convexity of sets and functions, Math. Oper. Res. 8 231-259.