DUALITY RESULTS FOR SECOND-ORDER MULTIOBJECTIVE PROGRAMMING PROBLEM

Authors

  • ARVIND KUMAR Department of Mathematics, University of Delhi, Delhi 110007, India
  • PANKAJ KUMAR GARG Department of Mathematics, Rajdhani College, University of Delhi, Delhi 110015, India

Keywords:

Duality, non-differentiable, multi-objective fractional programming, generalized convexity

Abstract

The purpose of this paper is to study a class of nondifferentiable multiobjective fractional programming problem in which every component of objective functions contains a term involving the support function of a compact??convex set. For a differentiable function, we use the definition of second-order??(C,??,?เธขย,d) ??? V-type-I convex function. Further, Wolfe type dual has been formulated for this problem and appropriate duality results have been proved under??second-order (C,??,?เธขย,d)???V-type-I convexity assumptions

Additional Files

Published

12/26/2016

Issue

Vol. 7 No. 1 (2016): JNAO

Section

Research Articles

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

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This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.