International Journal of Advanced Research in Engineering and Applied Sciences
  • Year: 2016
  • Volume: 5
  • Issue: 6

Opitmality conditions with constraint qualification for non linear programming problems solve by a cone approach on the karush-Kuhn-Tucker Concepts

  • Author:
  • Seifu Endris, A.N. Mohamad
  • Total Page Count: 19
  • Page Number: 1 to 19

*Department of mathematics, College of Natural & Computational Sciences, Debre Berhan University, Ethiopia

**Department of Mathematical Modeling, College of Natural & Computational Sciences, Debre Berhan university, Ethiopi

Online published on 1 August, 2018.

Abstract

We establish the existence of optimization problem specially for Non Linear Programming (NLP), we introduce “A cone Approach on the Karush Kuhn Tucker Optimality Conditions and Constraint qualification” and we discussed in this paper some of the constraint qualifications as well as some relation between them and also to show and observe the weakest of these constraint qualifications with respect to the concept of cones and their polars.

Keywords

Polar Cones, the Tangent Cone, Slater Constraint Qualification and the Quasi regularity constraints