%0 Journal Article
%T Minimax fractional programming problem involving nonsmooth generalized ¦Á-univex functions
%A Anurag JAYSWAL
%A Rajnish KUMAR
%A Dilip KUMAR
%J International Journal of Optimization and Control : Theories & Applications
%D 2013
%I International Journal of Optimization and Control
%X In this paper, we introduce a new class of generalized ¦Á-univex functions where the involved functions are locally Lipschitz. We extend the concept of ¦Á-type I invex [S. K. Mishra, J. S. Rautela, On nondifferentiable minimax fractional programming under generalized ¦Á-type I invexity, J. Appl. Math. Comput. 31 (2009) 317-334] to ¦Á-univexity and an example is provided to show that there exist functions that are ¦Á-univex but not ¦Á-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 ¦Á-univex functions. The results in this paper extend some known results in the literature.
%K Nondifferentiable minimax fractional programming
%K ¦Á-univexity
%K sufficient optimality conditions
%K duality
%U http://dx.doi.org/10.11121/ijocta.01.2013.00102