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On optimality conditions and duality theorems for approximate solutions of nonsmooth infinite optimization problems

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Abstract

In this paper, we deal with \(\varepsilon \)-quasi optimal solutions for a nonsmooth infinite optimization problem in terms of the Mordukhovich/limiting subdifferential. The obtained results improve or include some recent known ones. Several illustrative examples are also provided.

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Acknowledgements

The author would like to thank the Handling Editors for the help in the processing of the article. The author is very grateful to the Anonymous Referee for the very valuable remarks, which helped to improve the article.

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  1. Faculty of Pedagogy, Faculty of Social Sciences and Humanities, Kien Giang University, Chau Thanh, Kien Giang, Vietnam

    Thanh-Hung Pham

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Pham, TH. On optimality conditions and duality theorems for approximate solutions of nonsmooth infinite optimization problems. Positivity 27, 19 (2023). https://doi.org/10.1007/s11117-023-00971-z

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