Further, weak, strong and converseduality theorems are also derived for Mond-Weir type vector dual programs.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, a new class of nonconvex nonsmooth multiobjective programming problems with directionally differentiable functions is considered.
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Key Findings & Data:The so-called G-V -type I objective andconstraint functions and their generalizations are introduced for such nonsmooth vector optimizationproblems.
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Conclusion & Impact:Further, weak, strong and converseduality theorems are also derived for Mond-Weir type vector dual programs.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
In this paper, a new class of nonconvex nonsmooth multiobjective programming problems with directionally differentiable functions is considered. The so-called G-V -type I objective andconstraint functions and their generalizations are introduced for such nonsmooth vector optimizationproblems. Based upon these generalized invex functions, necessary and sufficient optimality conditionsare established for directionally differentiable multiobjective programming problems. Thus, new FritzJohn type and Karush-Kuhn-Tucker type necessary optimality conditions are proved for the considereddirectionally differentiable multiobjective programming problem. Further, weak, strong and converseduality theorems are also derived for Mond-Weir type vector dual programs.
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Cite This Article
ANTCZAK, T., GARZON, G. R. (2022). On semi-G-V -type I concepts for directionally differentiable multiobjective programming problems. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 6 - Sayı: 2, 189–203. https://ajindex.com/articles/440700
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