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Optimality conditions and duality for semi-infinite programming involving B-arcwise connected functions.
- Source :
- Journal of Global Optimization; Dec2009, Vol. 45 Issue 4, p615-629, 15p, 1 Diagram
- Publication Year :
- 2009
-
Abstract
- In this paper, a class of functions called B-arcwise connected (BCN) and strictly B-arcwise connected (STBCN) functions are introduced by relaxing definitions of arcwise connected function (CN) and B-vex function. The differential properties of B-arcwise connected function (BCN) are studied. Their two extreme properties are proved. The necessary and sufficient optimality conditions are obtained for the nondifferentiable nonlinear semi-infinite programming involving B-arcwise connected (BCN) and strictly B-arcwise connected (STBCN) functions. Mond-Weir type duality results have also been established. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09255001
- Volume :
- 45
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Journal of Global Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 44841804
- Full Text :
- https://doi.org/10.1007/s10898-009-9400-8