TY - JOUR
T1 - Generalized arcwise-connected functions and characterizations of local-global minimum properties
AU - Avriel, M.
AU - Zang, I.
PY - 1980/12
Y1 - 1980/12
N2 - In this paper, new classes of generalized convex functions are introduced, extending the concepts of quasi-convexity, pseudoconvexity, and their associate subclasses. Functions belonging to these classes satisfy certain local-global minimum properties. Conversely, it is shown that, under some mild regularity conditions, functions for which the local-global minimum properties hold must belong to one of the classes of functions introduced.
AB - In this paper, new classes of generalized convex functions are introduced, extending the concepts of quasi-convexity, pseudoconvexity, and their associate subclasses. Functions belonging to these classes satisfy certain local-global minimum properties. Conversely, it is shown that, under some mild regularity conditions, functions for which the local-global minimum properties hold must belong to one of the classes of functions introduced.
KW - Generalized convexity
KW - global minimality
KW - nonconvex programming
KW - nonlinear programming
KW - optimization theorems
UR - http://www.scopus.com/inward/record.url?scp=0019279726&partnerID=8YFLogxK
U2 - 10.1007/BF00934030
DO - 10.1007/BF00934030
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AN - SCOPUS:0019279726
SN - 0022-3239
VL - 32
SP - 407
EP - 425
JO - Journal of Optimization Theory and Applications
JF - Journal of Optimization Theory and Applications
IS - 4
ER -