Higher-order duality for multiobjective programming problem involving ðU; qÞ-invex functions
Jayswal, A., Kummari, K. (2015). Higher-order duality for multiobjective programming problem involving ðU; qÞ-invex functions. EKB Journal Management System, 23(1), 12-19. doi: 10.1016/j.joems.2014.01.002
Anurag Jayswal; Krishna Kummari. "Higher-order duality for multiobjective programming problem involving ðU; qÞ-invex functions". EKB Journal Management System, 23, 1, 2015, 12-19. doi: 10.1016/j.joems.2014.01.002
Jayswal, A., Kummari, K. (2015). 'Higher-order duality for multiobjective programming problem involving ðU; qÞ-invex functions', EKB Journal Management System, 23(1), pp. 12-19. doi: 10.1016/j.joems.2014.01.002
Jayswal, A., Kummari, K. Higher-order duality for multiobjective programming problem involving ðU; qÞ-invex functions. EKB Journal Management System, 2015; 23(1): 12-19. doi: 10.1016/j.joems.2014.01.002

Higher-order duality for multiobjective programming problem involving ðU; qÞ-invex functions

Journal of the Egyptian Mathematical Society
Volume 23, Issue 1, 2015, Pages 12-19    PDF (593.78 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.01.002
Authors
Anurag Jayswal* ; Krishna Kummari
Department of Applied Mathematics, Indian School of Mines, Dhanbad 826 004, Jharkhand, India
Abstract
In the present article, we formulate two different kinds of higher-order dual models
related to the multi-objective programming problem containing arbitrary norms. Furthermore,
weak, strong and strict converse duality results are established under the assumptions of
higher-order ðU; qÞ-invex function. Results obtained in this paper unify and extend some previously
known results in the literature. 
Keywords
Multiobjective programming; Efficiency; Higher-order(U,q)-invexity; Duality
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