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On Minimax Fractional Optimality and Duality with Generalized Convexity

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Abstract

In this paper, we establish several sufficient optimality conditions for a class of generalized minimax fractional programming. Based on the sufficient conditions, a new dual model is constructed and duality results are derived. Our study naturally unifies and extends some previously known results in the framework of generalized convexity and dual models.

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References

  1. S.R. Yadav R.N. Mukherjee (1990) ArticleTitleDuality for fractional minimax programming problems Journal of Australian Mathematical Society, Series B 31 484–492

    Google Scholar 

  2. S. Chandra V. Kumar (1995) ArticleTitleDuality in fractional minimax programming Journal of Australian Mathematical Society, Series A 58 376–386

    Google Scholar 

  3. J.C. Liu C.S. Wu R.L. Sheu (1997) ArticleTitleDuality for fractional minimax programming Optimization 41 117–133

    Google Scholar 

  4. J.C. Liu C.S. Wu (1998) ArticleTitleOn minimax fractional optimality conditions with invexity Journal of Mathematical Analysis and Applications 219 21–35

    Google Scholar 

  5. J.C. Liu C.S. Wu (1998) ArticleTitleOn minimax fractional optimality conditions with (F, ρ) convexity Journal of Mathematical Analysis and Applications 219 36–51

    Google Scholar 

  6. Bector, C.R. Chandra, S., Suneja, S.K. and Gupta, S. (1992), Univex sets, functions and univex nonlinear programming, Proceedings of the Administrative Sciences Association of Canada, 115–124.

  7. N.G. Rueda N.G. Hanson C. Singh (1995) ArticleTitleOptimality and duality with generalized convexity Journal of Optimization Theory and Applications 86 491–500

    Google Scholar 

  8. M.A. Hanson B. Mond (1987) ArticleTitleNecessary and sufficient conditions in constained optimization Mathematical Programming, 37 51–58

    Google Scholar 

  9. H.C. Lai J.C. Liu K. Tanaka (1999) ArticleTitleNecessary and sufficent conditions for minimax fractional programming Journal of Mathematical Analysis and Applications 230 311–328

    Google Scholar 

  10. H.C. Lai J.C. Lee (2002) ArticleTitleOn duality theorems for a nondifferentiable minimax fractional programming Journal of Computational and Applied Mathematics 146 115–126

    Google Scholar 

  11. C.R. Bector S. Chandra M.K. Bector (1989) ArticleTitleGeneralized fractional programming duality: A parametric approach Journal of Optimization Theory and Applications 60 243–260

    Google Scholar 

  12. Z.K. Xu (1988) ArticleTitleSaddle-point type optimality criteria for generalized fractional programming Journal of Optimization Theory and Applications 57 189–196

    Google Scholar 

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Mathematics Subject Classifications: 90C25, 90C32, 90C47.

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Yang, XM., Hou, SH. On Minimax Fractional Optimality and Duality with Generalized Convexity. J Glob Optim 31, 235–252 (2005). https://doi.org/10.1007/s10898-004-5698-4

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  • DOI: https://doi.org/10.1007/s10898-004-5698-4

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