Back to Search
Start Over
Generalized minimax inequalities for set-valued mappings
- Source :
-
Journal of Mathematical Analysis & Applications . May2003, Vol. 281 Issue 2, p707. 17p. - Publication Year :
- 2003
-
Abstract
- In this paper, we study generalized minimax inequalities in a Hausdorff topological vector space, in which the minimization and the maximization of a two-variable set-valued mapping are alternatively taken in the sense of vector optimization. We establish two types of minimax inequalities by employing a nonlinear scalarization function and its strict monotonicity property. Our results are obtained under weaker convexity assumptions than those existing in the literature. Several examples are given to illustrate our results. [Copyright &y& Elsevier]
- Subjects :
- *CHEBYSHEV approximation
*VECTOR spaces
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 281
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 9905477
- Full Text :
- https://doi.org/10.1016/S0022-247X(03)00197-5