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Semicoercive Variational Inequalities: From Existence to Numerical Solution of Nonmonotone Contact Problems

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  • Nina Ovcharova

    (Universität der Bundeswehr München)

  • Joachim Gwinner

    (Universität der Bundeswehr München)

Abstract

In this paper, we present a novel numerical solution procedure for semicoercive hemivariational inequalities. As a concrete example, we consider a unilateral semicoercive contact problem with nonmonotone friction modeling the deformation of a linear elastic block in a rail, and provide numerical results for benchmark tests.

Suggested Citation

  • Nina Ovcharova & Joachim Gwinner, 2016. "Semicoercive Variational Inequalities: From Existence to Numerical Solution of Nonmonotone Contact Problems," Journal of Optimization Theory and Applications, Springer, vol. 171(2), pages 422-439, November.
    • Handle: RePEc:spr:joptap:v:171:y:2016:i:2:d:10.1007_s10957-016-0969-z
    DOI: 10.1007/s10957-016-0969-z
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    References listed on IDEAS

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    1. O. Chadli & Z. Liu & J. C. Yao, 2007. "Applications of Equilibrium Problems to a Class of Noncoercive Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 132(1), pages 89-110, January.
    2. Nina Ovcharova & Joachim Gwinner, 2014. "A Study of Regularization Techniques of Nondifferentiable Optimization in View of Application to Hemivariational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 162(3), pages 754-778, September.
    3. Guo-ji Tang & Nan-jing Huang, 2013. "Existence theorems of the variational-hemivariational inequalities," Journal of Global Optimization, Springer, vol. 56(2), pages 605-622, June.
    4. Dominikus Noll, 2014. "Convergence of Non-smooth Descent Methods Using the Kurdyka–Łojasiewicz Inequality," Journal of Optimization Theory and Applications, Springer, vol. 160(2), pages 553-572, February.
    5. A. Lahmdani & O. Chadli & J. C. Yao, 2014. "Existence of Solutions for Noncoercive Hemivariational Inequalities by an Equilibrium Approach Under Pseudomonotone Perturbation," Journal of Optimization Theory and Applications, Springer, vol. 160(1), pages 49-66, January.
    6. O. Chadli & S. Schaible & J. C. Yao, 2004. "Regularized Equilibrium Problems with Application to Noncoercive Hemivariational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 121(3), pages 571-596, June.
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    Cited by:

    1. Ouayl Chadli & Joachim Gwinner & M. Zuhair Nashed, 2022. "Noncoercive Variational–Hemivariational Inequalities: Existence, Approximation by Double Regularization, and Application to Nonmonotone Contact Problems," Journal of Optimization Theory and Applications, Springer, vol. 193(1), pages 42-65, June.
    2. Alfredo Iusem & Felipe Lara, 2019. "Existence Results for Noncoercive Mixed Variational Inequalities in Finite Dimensional Spaces," Journal of Optimization Theory and Applications, Springer, vol. 183(1), pages 122-138, October.
    3. Alfredo Iusem & Felipe Lara & Raúl T. Marcavillaca & Le Hai Yen, 2024. "A Two-Step Proximal Point Algorithm for Nonconvex Equilibrium Problems with Applications to Fractional Programming," Journal of Global Optimization, Springer, vol. 90(3), pages 755-779, November.
    4. Tong-tong Shang & Guo-ji Tang, 2023. "Mixed polynomial variational inequalities," Journal of Global Optimization, Springer, vol. 86(4), pages 953-988, August.

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