Sufficiency and duality in nondifferentiable minimax fractional programming with ðHp;rÞ-invexity
Khan, M., Al-Solamy, F. (2015). Sufficiency and duality in nondifferentiable minimax fractional programming with ðHp;rÞ-invexity. EKB Journal Management System, 23(1), 208-213. doi: 10.1016/j.joems.2014.01.010
Meraj Ali Khan; Falleh R. Al-Solamy. "Sufficiency and duality in nondifferentiable minimax fractional programming with ðHp;rÞ-invexity". EKB Journal Management System, 23, 1, 2015, 208-213. doi: 10.1016/j.joems.2014.01.010
Khan, M., Al-Solamy, F. (2015). 'Sufficiency and duality in nondifferentiable minimax fractional programming with ðHp;rÞ-invexity', EKB Journal Management System, 23(1), pp. 208-213. doi: 10.1016/j.joems.2014.01.010
Khan, M., Al-Solamy, F. Sufficiency and duality in nondifferentiable minimax fractional programming with ðHp;rÞ-invexity. EKB Journal Management System, 2015; 23(1): 208-213. doi: 10.1016/j.joems.2014.01.010

Sufficiency and duality in nondifferentiable minimax fractional programming with ðHp;rÞ-invexity

Journal of the Egyptian Mathematical Society
Volume 23, Issue 1, 2015, Pages 208-213    PDF (473.15 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.01.010
Authors
Meraj Ali Khan* 1; Falleh R. Al-Solamy2
1Department of Mathematics, University of Tabuk, Tabuk, Saudi Arabia
2Department of Mathematics, King Abdulaziz University, P.O. Box 80015, Jeddah 21589, Saudi Arabia
Abstract
In the present paper, we discuss the optimality condition for an optimal solution to the
problem and a dual model is formulated for a non differentiable minimax fractional programming
problem. Weak, strong and strict converse duality results are concerned involving ðHp;rÞ-invexity.
Keywords
Minimax programming; Fractional programming; Sufficiency; Duality; Generalized ðHp; rÞ-invexity
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