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Sequential subdifferential for multi-composed functions via perturbation approach

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Abstract

In this paper, we establish a sequential formula for the subdifferential of multi-composed convex functions via an interesting result due to (Bot et al. in J Math Anal Appl 342(2):1015–1025, 2008), based on perturbation theory. As an application, we derive sequential optimality conditions for a convex fractional programming problem with geometric and cone constraints, without considering any qualification condition. We give an example illustrates the general result where no exact subdifferential optimality conditions are possible without a regularity condition such that sequential subdifferential conditions are more meaningful.

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Authors and Affiliations

  1. Chouaib Doukkali University, Faculty of Sciences, Department of Mathematics, B.P 20, El Jadida, Morocco

    Issam Dali, Mohamed Laghdir & Mohamed Bilal Moustaid

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  1. Issam Dali
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  2. Mohamed Laghdir
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  3. Mohamed Bilal Moustaid
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Dali, I., Laghdir, M. & Moustaid, M.B. Sequential subdifferential for multi-composed functions via perturbation approach. Rend. Circ. Mat. Palermo, II. Ser 72, 1527–1549 (2023). https://doi.org/10.1007/s12215-022-00744-9

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  • DOI: https://doi.org/10.1007/s12215-022-00744-9

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