In this article we are interested to give an analogue result of the subdifferentiation of the marginal functions in Banach spaces established by Mordukhovich and Shao in [6] using the so-called the srtong generalized limiting subdifferential defined in binormed space introduced by Hlal in [3].
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References
[1] F.H. Clarke, Optimization and Nonsmooth Analysis, Wiley (1983).
[2] J. Hlal, Subdifferentiation of marginal functions in binormed spaces, Intern. J. Math. Anal., 55 (2015), 2725-2732.
[3] J. Hlal, On strong limiting subdifferential calculus in separable binormed spaces, Rend. Circ. Mat. Palermo II, 66 (2017), 439-445.
[4] S. Lahrech, J. Hlal, A. Jaddar, A. Ouahab, A. Mbarki, On nonconvex subdifferential calculus in binormed spaces, Int. Math. Forum, 55 (2007), 2723-2731.
[5] S. Lahrech, J. Hlal, A. Jaddar, A. Ouahab, A. Mbarki, Characterizaion of the extrema of a pseudoconvex function in terms of limiting and strong limiting subdifferential, Int. Math. Forum, 55 (2007), 2711-2718.
[6] B.S. Mordukhovich, Y. Shao, On nonconvex subdifferential calculus in Banach spaces, J. Conv. Anal., 2 (1995), 211-227.