Third order duality in nonlinear programming problems

S. K. Padhan () and C. Nahak ()
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S. K. Padhan: Veer Surendra Sai University of Technology Burla
C. Nahak: Indian Institute of Technology Kharagpur

4OR, 2017, vol. 15, issue 1, No 5, 93-105

Abstract: Abstract Third order dual of a primal nonlinear programming problem is established which involves the third order derivatives of the functions constituting the primal problem. Desired duality theorems are provided for the pair of primal and the corresponding third order dual problem. Numerical examples are illustrated to justify the efficiency of the proposed method. It is also observed that some of the existing results are obtained as special cases.

Keywords: Third order duality; Weak duality; Strong duality; Converse duality; 49M; 65K; 90C26 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10288-016-0326-y

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