Second-order duality for invex composite optimization | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 23, Issue 1, 2015, Page 149-154 PDF (438.77 K) | ||||
Document Type: Original Article | ||||
DOI: 10.1016/j.joems.2014.02.005 | ||||
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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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