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Error bounds and gap functions for various variational type problems

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

In this work we study various gap functions for the generalized multivalued mixed variational-hemivariational inequality problems by using the \((\tau _{\mathscr {M}},\sigma _{\mathscr {M}})\)-relaxed cocoercive mapping and Hausdorff Lipschitz continuity. Moreover, we establish global error bounds for such inequalities using the characteristic of the Clarke generalized gradient method. As application, we present a stationary nonsmooth semipermeability problem.

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Authors and Affiliations

  1. Department of Mathematics, ORT Braude College, P.O. Box 78, Karmiel, 2161002, Israel

    Aviv Gibali

  2. Department of Mathematics, Jazan University, Jazan, 45142, Kingdom of Saudi Arabia

    Salahuddin

Authors
  1. Aviv Gibali
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  2. Salahuddin
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Correspondence to Aviv Gibali.

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Gibali, A., Salahuddin Error bounds and gap functions for various variational type problems. RACSAM 115, 123 (2021). https://doi.org/10.1007/s13398-021-01066-8

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  • DOI: https://doi.org/10.1007/s13398-021-01066-8

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