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

Rishi Rajan Sahay () and Guneet Bhatia ()
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Rishi Rajan Sahay: University of Delhi
Guneet Bhatia: University of Delhi

OPSEARCH, 2024, vol. 61, issue 1, No 11, 226-244

Abstract: Abstract 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.

Keywords: Multiobjective optimization; Higher order strict minimizer; Higher order strong invexity; Optimality; Duality; Variational-like inequality problem; 26B25; 49J40; 90C29; 90C46 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s12597-023-00670-z

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