Duality in nondifferentiable minimax fractional programming with B-(p, r)-invexity

نویسندگان

  • Izhar Ahmad
  • SK Gupta
  • N Kailey
  • Ravi P Agarwal
چکیده

* Correspondence: drizhar@kfupm. edu.sa Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia Full list of author information is available at the end of the article Abstract In this article, we are concerned with a nondifferentiable minimax fractional programming problem. We derive the sufficient condition for an optimal solution to the problem and then establish weak, strong, and strict converse duality theorems for the problem and its dual problem under B-(p, r)-invexity assumptions. Examples are given to show that B-(p, r)-invex functions are generalization of (p, r)-invex and convex functions AMS Subject Classification: 90C32; 90C46; 49J35.

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تاریخ انتشار 2012