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On the Fenchel-Young Conjugate

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Basic Monotonicity Methods with Some Applications

Part of the book series: Compact Textbooks in Mathematics ((CTM))

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Abstract

The results collected here will help us in understanding the issues related to the invertibility of nonlinear mappings. If we recall that a derivative of a differentiable convex functional is a monotone mapping, there is no surprise that we mainly work with convex functionals here.

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References

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  4. N. Iusem, D. Reem, S. Reich, Fixed points of Legendre-Fenchel type transforms. J. Convex Anal. 26, 275–298 (2019)

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Correspondence to Marek Galewski .

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Galewski, M. (2021). On the Fenchel-Young Conjugate. In: Basic Monotonicity Methods with Some Applications. Compact Textbooks in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-75308-5_4

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