Indian Journal of Industrial and Applied Mathematics
  • Year: 2008
  • Volume: 1
  • Issue: 2

Approximate Optimisation of Convex Set Functions

  • Author:
  • Davinder Bhatia1, Narender Kumar2,, Aparna Mehra3
  • Total Page Count: 15
  • Published Online: Dec 1, 2008
  • Page Number: 73 to 87

1Department of Operational Research, University of Delhi, Delhi-110 007, India

2Department of Mathematics, Ram Lal Anand College (Evening), University of Delhi, New Delhi-110 021, India

3Department of Mathematics, Indian Institute of Technology Delhi, New Delhi-110 016, India

*Author for Correspondence. E-mail: nkbudhraja@yahoo,eom

Abstract

The present paper introduces the notion of ε-subdifferential for convex set function and discusses some of its properties. These properties are utilised to derive ε-Pareto optimality conditions of KKT type for non-differentiable multiobjective optimisation problem with convex set functions.

Keywords

Primary: 90C29, Secondary: 49K27, Multiobjective programming, Convex, set functions, Approximate solutions, ε-subdifferential