Second-order duality for invex composite optimization

Document Type : Original Article

Authors

1 Department of Mathematics, Veer Surendra Sai University of Technology, Burla 768018, India

2 Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India

3 Department 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.

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