Journal of Global Optimization

, Volume 46, Issue 2, pp 207–216

On sufficiency and duality in multiobjective programming problem under generalized α-type I univexity



In this paper, we are concerned with the multiobjective programming problem with inequality constraints. We introduce new classes of generalized α-univex type I vector valued functions. A number of Kuhn–Tucker type sufficient optimality conditions are obtained for a feasible solution to be an efficient solution. The Mond–Weir type duality results are also presented.


Generalized convexity α-type I univexity Multiobjective programming Sufficient optimality conditions Duality 


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© Springer Science+Business Media, LLC. 2009

Authors and Affiliations

  1. 1.Department of Applied MathematicsBirla Institute of TechnologyRanchiIndia
  2. 2.Department of Applied MathematicsBirla Institute of Technology, Extension CentrePatnaIndia

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