Minimax fractional programming problem involving nonsmooth generalized α-univex functions
| Autor: | Anurag JAYSWAL, Rajnish KUMAR, Dilip KUMAR |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | An International Journal of Optimization and Control: Theories & Applications, Vol 3, Iss 1, Pp 7-22 (2013) |
| Druh dokumentu: | article |
| ISSN: | 2146-0957 2146-5703 |
| DOI: | 10.11121/ijocta.01.2013.00102 |
| Popis: | In this paper, we introduce a new class of generalized α-univex functions where the involved functions are locally Lipschitz. We extend the concept of α-type I invex [S. K. Mishra, J. S. Rautela, On nondifferentiable minimax fractional programming under generalized α-type I invexity, J. Appl. Math. Comput. 31 (2009) 317-334] to α-univexity and an example is provided to show that there exist functions that are α-univex but not α-type I invex. Furthermore, Karush-Kuhn-Tucker-type sufficient optimality conditions and duality results for three different types of dual models are obtained for nondifferentiable minimax fractional programming problem involving generalized α-univex functions. The results in this paper extend some known results in the literature. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|