Symmetric duality results for second-order nondifferentiable multiobjective programming problem
RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 2, pp. 539-558.

In this article, we study the existence of G f -bonvex / G f -pseudo-bonvex functions and construct various nontrivial numerical examples for the existence of such type of functions. Furthermore, we formulate Mond-Weir type second-order nondifferentiable multiobjective programming problem and give a nontrivial concrete example which justify weak duality theorem present in the paper. Next, we prove appropriate duality relations under aforesaid assumptions.

DOI : 10.1051/ro/2019044
Classification : 90C26, 90C3, 90C32, 90C46
Mots-clés : Symmetric duality, nondifferentiable, support function, Gf -bonvexity/Gf -pseudo-bonvexity, Mond-Weir type model
Dubey, Ramu 1 ; Mishra, Vishnu Narayan 1

1 
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     title = {Symmetric duality results for second-order nondifferentiable multiobjective programming problem},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {539--558},
     publisher = {EDP-Sciences},
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Dubey, Ramu; Mishra, Vishnu Narayan. Symmetric duality results for second-order nondifferentiable multiobjective programming problem. RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 2, pp. 539-558. doi : 10.1051/ro/2019044. http://archive.numdam.org/articles/10.1051/ro/2019044/

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