Second-order duality for invex composite optimization
Padhan, S., Nahak, C., Qaisar, S. (2015). Second-order duality for invex composite optimization. EKB Journal Management System, 23(1), 149-154. doi: 10.1016/j.joems.2014.02.005
Saroj Kumar Padhan; Chandal Nahak; Shahid Qaisar. "Second-order duality for invex composite optimization". EKB Journal Management System, 23, 1, 2015, 149-154. doi: 10.1016/j.joems.2014.02.005
Padhan, S., Nahak, C., Qaisar, S. (2015). 'Second-order duality for invex composite optimization', EKB Journal Management System, 23(1), pp. 149-154. doi: 10.1016/j.joems.2014.02.005
Padhan, S., Nahak, C., Qaisar, S. Second-order duality for invex composite optimization. EKB Journal Management System, 2015; 23(1): 149-154. doi: 10.1016/j.joems.2014.02.005

Second-order duality for invex composite optimization

Journal of the Egyptian Mathematical Society
Volume 23, Issue 1, 2015, Pages 149-154    PDF (438.77 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.02.005
Authors
Saroj Kumar Padhan* 1; Chandal Nahak2; Shahid Qaisar3
1Department of Mathematics, Veer Surendra Sai University of Technology, Burla 768018, India
2Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India
3Department of Mathematics, Islamia University, Bahawalpur, Pakistan
Abstract
The second-order duality results for the invex composite optimization problem are studied. Its objective function is a composition of nonfinite valued differentiable invex and a vector valued functions. Several duality results are also discussed for both constrained and unconstrained
optimization problems. Examples and counterexamples are illustrated to justify the present work.
Keywords
Invex composite function; Second-order duality; Mangasarian and Mond– Weir type duality; Weak duality; Strong duality; Converse duality
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