Volume 53, Number 2, April-June 2019
|Page(s)||539 - 558|
|Published online||05 June 2019|
Symmetric duality results for second-order nondifferentiable multiobjective programming problem
Department of Mathematics, J.C. Bose University of Science and Technology, YMCA, Faridabad 121 006, Haryana, India
2 Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484887, India
3 L. 1627 Awadh Puri Colony Beniganj, Phase III, Opposite Industrial Training Institute (I.T.I.), Ayodhya 224 001, Uttar Pradesh, India
* Corresponding author: email@example.com
Accepted: 20 April 2019
In this article, we study the existence of Gf-bonvex/Gf -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.
Mathematics Subject Classification: 90C26 / 90C3 / 90C32 / 90C46
Key words: Symmetric duality / nondifferentiable / support function / Gf -bonvexity/Gf -pseudo-bonvexity / Mond-Weir type model
© EDP Sciences, ROADEF, SMAI 2019
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