Second-order duality for nondifferentiable multiobjective programming involving (Φ,ρ)-univexity

Authors

  • Ganesh Kumar Thakur Department of Applied Sciences, Maharaja Agarsain Institute of Technology, Ghaziabad
  • Bandana Priya Departments of Applied Sciences, R. D. Engg. College, Ghaziabad

DOI:

https://doi.org/10.3126/kuset.v7i1.5426

Keywords:

Second-order (?, ?)-(pseudo/quasi)-convexity, multiobjective programming, second-order duality, duality theorem.

Abstract

The concepts of (Φ, ρ)-invexity have been given by Carsiti,Ferrara and Stefanescu[32]. We consider a second-order dual model associated to a multiobjective programming problem involving support functions and a weak duality result is established under appropriate second-order (Φ, ρ)-univexity conditions.

AMS 2002 Subject Classification: 90C29; 90C30; 90C46.

Key words: Second-order (Φ, ρ)-(pseudo/quasi)-convexity; multiobjective programming; second-order duality; duality theorem.

DOI: http://dx.doi.org/ 10.3126/kuset.v7i1.5426

KUSET 2011; 7(1): 92-104  

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How to Cite

Thakur, G. K., & Priya, B. (2011). Second-order duality for nondifferentiable multiobjective programming involving (Φ,ρ)-univexity. Kathmandu University Journal of Science, Engineering and Technology, 7(1), 92–104. https://doi.org/10.3126/kuset.v7i1.5426

Issue

Vol. 7 No. 1 (2011)

Section

Original Research Articles