Second order (F,α,ρ,d)-convexity and duality in multiobjective programming

  • Authors:
  • I. Ahmad;Z. Husain

  • Affiliations:
  • Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India;Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2006

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Abstract

A class of second order (F,@a,@r,d)-convex functions and their generalizations is introduced. Using the assumptions on the functions involved, weak, strong and strict converse duality theorems are established for a second order Mond-Weir type multiobjective dual.