Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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SECOND ORDER NONSMOOTH MULTIOBJECTIVE FRACTIONAL PROGRAMMING PROBLEM INVOLVING SUPPORT FUNCTIONS

  • Kharbanda, Pallavi (Centre for Mathematical Sciences, Banasthali University) ;
  • Agarwal, Divya (Department of Applied Sciences and Humanities, itm University) ;
  • Sinha, Deepa (Department of Mathematics, South Asian University)
  • Received : 2012.09.30
  • Accepted : 2013.02.06
  • Published : 2013.09.30
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Abstract

In this paper, we have considered a class of constrained non-smooth multiobjective fractional programming problem involving support functions under generalized convexity. Also, second order Mond Weir type dual and Schaible type dual are discussed and various weak, strong and strict converse duality results are derived under generalized class of second order (F, ${\alpha}$, ${\rho}$, $d$)-V-type I functions. Also, we have illustrated through non-trivial examples that class of second order (F, ${\alpha}$, ${\rho}$, $d$)-V-type I functions extends the definitions of generalized convexity appeared in the literature.

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References

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