On sufficiency for mathematical programming problems with equilibrium constraints

Authors

  • Shashi Kant Mishra Banaras Hindu University, Faculty of Science, Department of Mathematics, Varanasi, India
  • Yogendra Pandey Banaras Hindu University, Faculty of Science, Department of Mathematics, Varanasi, India

DOI:

https://doi.org/10.2298/YJOR130207021M

Keywords:

mathematical programming with equilibrium constraint, sufficient optimality condition, higher-order strong convexity

Abstract

In this paper, we consider a mathematical programming with equilibrium constraints (MPEC) where the objective and constraint functions are continuously differentiable. We establish the sufficient optimality condition for strict local minima of order m under the assumptions of generalized strong convexity of order m.

References

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Published

2013-06-01

Issue

Vol. 23 No. 2 (2013)

Section

Research Articles

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