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On a Generalized Hemivariational Inequality on Banach Spaces

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Abstract

In this paper we prove two existence theorems for a generalized hemivariational inequality involving set-valued mappings of two variables in Banach spaces. In order to prove the results, we make use of the well-known Ky Fan’s Intersection Theorem and Simon’s Minimax Theorem. To illustrate the generality and applicability of the two existence theorems, several applications are provided at the end of the paper.

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Authors and Affiliations

  1. Kennesaw State University, 1000 Chastain Rd., Kennesaw, GA, 30144, USA

    Ana-Maria Croicu

  2. Babes-Bolyai University, 1 Mihail Kogalniceanu Street, 400084, Cluj-Napoca, Romania

    József Kolumbán

Authors
  1. Ana-Maria Croicu
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  2. József Kolumbán
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Correspondence to Ana-Maria Croicu.

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Croicu, AM., Kolumbán, J. On a Generalized Hemivariational Inequality on Banach Spaces. Results Math 73, 87 (2018). https://doi.org/10.1007/s00025-018-0848-z

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