second-order duality for invex composite optimization外文参考.pdf

Journal of the Egyptian Mathematical Society (2015) 23, 149–154
Egyptian Mathematical Society
Journal of the Egyptian Mathematical Society
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ORIGINAL PAPER
Second-order duality for invex composite optimization
Saroj Kumar Padhan a,*, Chandal Nahak b
a Department of Mathematics, Veer Surendra Sai University of Technology, Burla 768018, India
b Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India
Received 24 August 2013; revised 21 December 2013; accepted 2 February 2014
Available online 17 March 2014
KEYWORDS Abstract The second-order duality results for the invex composite optimization problem are stud-
Invex composite function; ied. Its objective function is a composition of nonfinite valued differentiable invex and a vector val-
Second-order duality; ued functions. Several duality results are also discussed for both constrained and unconstrained
Mangasarian and Mond– optimization problems. Examples and counterexamples are illustrated to justify the present work.
Weir type duality;
Weak duality; 2010 MATHEMATI