Second order symmetric duality in multiobjective programming involving generalized cone-invex functions

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

22 Scopus Citations
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Author(s)

  • S. K. Mishra
  • K. K. Lai

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)20-26
Journal / PublicationEuropean Journal of Operational Research
Volume178
Issue number1
Publication statusPublished - 1 Apr 2007

Abstract

In this paper, cone-second order pseudo-invex and strongly cone-second order pseudo-invex functions are defined. A pair of Mond-Weir type second order symmetric dual multiobjective programs is formulated over arbitrary cones. Weak, strong and converse duality theorems are established under aforesaid generalized invexity assumptions. A second self-duality theorem is also given by assuming the functions involved to be skew-symmetric. © 2006 Elsevier B.V. All rights reserved.

Research Area(s)

  • Cone-pseudo-invexity, Multiobjective programming, Second order symmetric duality