Optimality Criteria and Duality in Multiobjective Programming Involving Nonsmooth Invex Functions

  • Authors:

  • S. Nobakhtian

  • Affiliations:

  • Department of Mathematics, University of Isfahan, Isfahan, Iran

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 2006

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Abstract

In this paper a generalization of invexity is considered in a general form, by means of the concept of K-directional derivative. Then in the case of nonlinear multiobjective programming problems where the functions involved are nondifferentiable, we established sufficient optimality conditions without any convexity assumption of the K-directional derivative. Then we obtained some duality results.