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Mixed Type Symmetric and Self-Duality for Multiob- jective Variational Problems

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2009

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
In this paper, a new formulation of multiobjective symmetric dual pair, called mixed type multiobjective symmetric dual pair, for multiobjective variational problems is presented. This mixed formulation unifies two existing Wolfe and Mond-Weir type symmetric dual pairs of multiobjective variational problems. For this pair of mixed type multiobjective variational problems, various duality theorems are established under invexity-incavity and pseudoinvexity-pseudoincavity of kernel functions appearing in the problems. Under additional hypotheses, a self duality theorem is validated. It is also pointed that our duality theorems can be viewed as dynamic generalization of the corresponding (static) symmetric and self duality of multiobjective nonlinear programming already existing in the literature.
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578-603
  • English

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