On a class of functions with equal infima over a domain and its boundary

Journal of Optimization Theory and Applications

Volumn 91, Issue 1, 1996, Pages 81-90

  Naselli, O ^a  

^a UNIVERSITY OF CATANIA   (Italy)

Author keywords

Affine hulls; Boundary of a domain; Concave functions; Convex sets; Minimax problems

Indexed keywords

FUNCTIONS; SET THEORY;

AFFINE HULL; BOUNDARY OF A DOMAIN; COMPACT SETS; CONCAVE FUNCTION; CONVEX SET; MINIMAX PROBLEM; MINIMAX THEOREM;

VECTOR SPACES;

EID: 0030510716     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02192283     Document Type: Article

References (5)

1. RICCERI, B., Some Topological Minimax Theorems via an Alternative Principle for Multifunctions, Archiv der Mathematik, Vol. 60, pp. 367-377, 1993.
2. ROBERTS, A. W., and VARBERG, D. E., Convex Functions, Academic Press, New York, New York, 1973.
3. HOLMES, R. B., Geometric Functional Analysis and Its Applications, Springer Verlag, New York, New York, 1975.
4. AUBIN, J. P., and EKELAND, I., Applied Nonlinear Analysis, John Wiley and Sons, New York, New York, 1984.
5. KELLY, P. J., and WEISS, M. L., Geometry and Convexity, John Wiley and Sons, New York, New York, 1979.