Optimality and Duality for Nondifferentiable Multiobjective Variational Problems with Higher Order Derivatives

Authors

  • Iqbal Husain Department of Mathematics, Jaypee Institute of Engineering and Technology, Guna, MP,India
  • Aquil Ahmed Department of Statistics, University of Kashmir, Srinagar, 190 006 (India)
  • Rumana Gulzar Mattoo Dept. of Statistics, University of Kashmir, Srinagar, India

Keywords:

Variational problem, Wolfe type vector dual, Mond-Weir type vector dual, Invexity, Genralized invexity, Related problems.

Abstract

Wolfe and Mond-Weir type vector dual variational problems are formulated for a class of nondifferentiable multiobjective variational problems involving higher order derivatives. By using concept of efficiency, weak, strong and converse duality theorems are established under invexity and generalized invexity assumptions. Validation of some of our duality results can also be served as a correction for the result existing in the literature. Related problems for which our duality results can hold can also be pointed out.

Author Biographies

  • Iqbal Husain, Department of Mathematics, Jaypee Institute of Engineering and Technology, Guna, MP,India
    Department of Mathematics:Professor
  • Aquil Ahmed, Department of Statistics, University of Kashmir, Srinagar, 190 006 (India)
    Dept. of Statistics, University of Kashmir: Professor
  • Rumana Gulzar Mattoo, Dept. of Statistics, University of Kashmir, Srinagar, India
    Dept. of Statistics, University of Kashmir: Research Scholar

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Published

2009-08-18

Issue

Vol. 2 No. 3: (July 2009)

Section

Optimization

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How to Cite

Optimality and Duality for Nondifferentiable Multiobjective Variational Problems with Higher Order Derivatives. (2009). European Journal of Pure and Applied Mathematics, 2(3), 372-400. https://www.ejpam.com/index.php/ejpam/article/view/180