Higher order strict global minimizers in non-differentiable multiobjective optimization involving higher order invexity and variational inequality

OPSEARCH - Trang 1-19 - 2023
Rishi Rajan Sahay1, Guneet Bhatia2
1Shaheed Sukhdev College of Business Studies, University of Delhi, New Delhi, India
2Lakshmibai College, University of Delhi, New Delhi, India

Tóm tắt

In this paper, we introduce new classes of higher order generalized strong invex functions under non-differentiable settings. The optimality results are derived for higher order strict global minimizers of non-differentiable multiobjective programming problems using these functions. Numerical examples and illustrations are provided in support of new classes of functions and the optimality conditions. We also study the mixed dual problem and establish weak, strong and converse duality results. Furthermore, as an application, we present a non-differentiable case of vector variational-like inequality problem and establish the equivalence between its solutions and higher order strict global minimizers of the non-differentiable multiobjective programming problem.

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