Staff Members - Benha University
Lagrangian Duality And Saddle Point Optimality Conditions Of Rough Nonlinear Optimization Problem When Roughness In The Feasible Region
International Journal of Mathematical Archive, India. • 2013
Publication Information
Authors
M.S.A.Osman, M.H.Eid and M.A.Elsisy (2013)
Keywords
Not Available
Journal
International Journal of Mathematical Archive, India.
Publisher
International Journal of Mathematical Archive, India.
Volume
Vol.4
Issue
No.5
Pages
Not Available
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
Deriving the dual of nonlinear optimization problem often yields a new insight into the nonlinear optimization problem at hand. The new insight may lead to simple techniques for solving the nonlinear problem. This paper presents duality theorems and saddle point optimality conditions of nonlinear optimization problem in rough environment when the objective function is deterministic and roughness in the feasible region. The concepts of duality and saddle point in the rough environment are discussed. Numerical examples are given to clarify the developed theory.