Second-Order Duality for a Class of Nondifferentiable Continous Programming Problems

Authors

  • Iqbal Husain Jaypee University of Engineering and Technology,Guna, MP, India.
  • Mashoob Masoodi University of Kashmir, Hazratbal Srinagar, Kashmir, India.

Keywords:

Continuous programming, Second-order invexity, Second-order Pseudoinvexity, Second-order duality, Nonlinear programming

Abstract

A dual problem associated with a class of non-differentiable continuous programming problemsis formulated. Under the second-order pseudo-invexity, various duality theorems are validated for this pair of dual problems. A pair of dual problems with natural boundary values is constructed and the proofs of its various duality results are merely indicated. Further, it is shown that our results can be viewed as dynamic generalizations of corresponding (static) second-order duality theorems fora class of nondifferentiable nonlinear programming problems existing in the literature.

Author Biographies

  • Iqbal Husain, Jaypee University of Engineering and Technology,Guna, MP, India.
    Department of Mathematics: Professor
  • Mashoob Masoodi, University of Kashmir, Hazratbal Srinagar, Kashmir, India.
    Department of Statistics: Research Scholar

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Published

2012-07-31

Issue

Vol. 5 No. 3: (July 2012)

Section

Operational Research

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How to Cite

Second-Order Duality for a Class of Nondifferentiable Continous Programming Problems. (2012). European Journal of Pure and Applied Mathematics, 5(3), 390-400. https://www.ejpam.com/index.php/ejpam/article/view/819