A theorem of the alternative and its application to the optimization of set-valued maps

Journal of Optimization Theory and Applications

Volumn 106, Issue 1, 1999, Pages 365-375

  Li, Z ^a  

^a CHONGQING UNIVERSITY   (China)

Author keywords

Optimality conditions; Optimization; Ordered linear topological spaces; Set valued maps; Theorems of the alternative

Indexed keywords

TOPOLOGY;

ITS APPLICATIONS; OPTIMALITY CONDITIONS; OPTIMISATIONS; ORDERED LINEAR TOPOLOGICAL SPACE; SET-VALUED MAP; THEOREM OF THE ALTERNATIVE; TOPOLOGICAL SPACES;

OPTIMIZATION;

EID: 0033632649     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1021786303883     Document Type: Article

References (5)

1. 1. BORWEIN, J., Multivalued Convexity and Optimization: A Unified Approach to Inequality and Equality Constraints, Mathematical Programming, Vol. 13, pp. 183-199, 1977.
2. 2. GIANNESSI, F., Theorems of the Alternative for Multifunction with Applications to Optimization: General Results, Journal of Optimization Theory and Applications, Vol. 55, pp. 233-256, 1987.
3. 3. FERRERO, O., Theorems of the Alternative for Set-Valued Functions in Infinite-Dimensional Spaces, Optimization, Vol. 20, pp. 167-175, 1989.
4. 4. TIEL, J. V., Convex Analysis: An Introductory Text, John Wiley and Sons, New York, New York, 1984.
5. 5. CORLEY, H. W., Optimality Conditions for Maximization of Set-Valued Functions, Journal of Optimization Theory and Applications, Vol. 58, pp. 1-10, 1988.