Indian Journal of Industrial and Applied Mathematics
  • Year: 2019
  • Volume: 10
  • Issue: 1SI

On Semi-infinite Optimization Problem Under the Generalized Convexity

  • Author:
  • Pushkar Jaisawal1,, Vivek Laha1, S.K. Mishra1
  • Total Page Count: 22
  • Published Online: Jun 1, 2019
  • Page Number: 87 to 108

1Department of Mathematics, Institute of, Science, Banaras Hindu University, Varanasi-221005, India

*Corresponding author Email: pushkarjaisawal2@gmail.com

Abstract

In this paper, we study nonsmooth semi-infinite optimization problems involving infinite number of inequality constraints. We derive sufficient optimality conditions for a point to be an optimal solution of the problem under generalized convexity assumptions. We also formulateWolfe and Mond-Weir type dual models and establish several duality results.

Keywords

Sufficient optimality condition, Nonsmooth optimization, Semi-infinite programming, Wolfe type dual, Mond-Weir type dual, Generalized convexity