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Second-order symmetric duality in multiobjective programming

✍ Scribed by Xin-Min Yang; Shui-Hung Hou

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
354 KB
Volume
14
Category
Article
ISSN
0893-9659

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✦ Synopsis

pair of second-order symmetric dual models for multiobJective nonlinear programmmg 1s proposed m this paper

We prove the weak, strong, and converse duality theorems for the formulated second-order symmetric dual programs under mvexity condltlons

πŸ“œ SIMILAR VOLUMES

Mond–Weir type second-order symmetric du
Mond–Weir type second-order symmetric duality in multiobjective programming over cones
✍ T.R. Gulati; Geeta πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 386 KB

A pair of Mond-Weir type second-order symmetric dual multiobjective programs over arbitrary cones is formulated. Weak, strong and converse duality theorems are established under pseudoinvexity/K -F -convexity assumptions.

On Second-Order Symmetric Duality in Non
On Second-Order Symmetric Duality in Nondifferentiable Programming
✍ S.H. Hou; X.M. Yang πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 70 KB

This article is concerned with a pair of second-order symmetric dual non-differentiable programs and second-order F-pseudo-convexity. We establish the weak and the strong duality theorems for the new pair of dual models under the F-pseudo-convexity assumption. Several known results including Mond an

A note on higher-order nondifferentiable
A note on higher-order nondifferentiable symmetric duality in multiobjective programming
✍ Ravi P. Agarwal; Izhar Ahmad; S.K. Gupta πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 206 KB

In this work, we establish a strong duality theorem for Mond-Weir type multiobjective higher-order nondifferentiable symmetric dual programs. This fills some gaps in the work of Chen [X. Chen, Higher-order symmetric duality in nondifferentiable multiobjective programming problems, J. Math. Anal. App