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Function Variational Principles and Normed Minimizers

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Computational Mathematics and Variational Analysis

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 159))

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Abstract

The function variational principle due to El Amrouss [Rev. Col. Mat., 40 (2006), 1–14] may be obtained in a simplified manner. Further applications to existence of minimizers for Gâteaux differentiable bounded from below lsc functions over Hilbert spaces are then provided.

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Author information

Authors and Affiliations

  1. A. Myller Mathematical Seminar, A. I. Cuza University, Iaşi, Romania

    Mihai Turinici

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  1. Mihai Turinici
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Correspondence to Mihai Turinici .

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Editors and Affiliations

  1. Department of Mathematics, Hellenic Military Academy, Vari Attikis, Greece

    Nicholas J. Daras

  2. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

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Turinici, M. (2020). Function Variational Principles and Normed Minimizers. In: Daras, N., Rassias, T. (eds) Computational Mathematics and Variational Analysis. Springer Optimization and Its Applications, vol 159. Springer, Cham. https://doi.org/10.1007/978-3-030-44625-3_27

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