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An existence principle for variational inequalities in Banach spaces

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Abstract

The present article deals with existence and uniqueness results for a variational inequality posed on a real smooth Banach space. This allows us to generalize the known results of this type given in Hilbert spaces.

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Acknowledgements

The first author was partially supported by MTM 2015-65242-C2-1-P and by P08-FQM-03453. The second author was partially supported by MTM 2015-65242-C2-2-P. The authors would like to thanks the referee for his or her valuable recommendations.

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Authors and Affiliations

  1. Departamento de Análisis Matemático, Universidad de Sevilla, Apdo. 1160, 41080, Sevilla, Spain

    D. Ariza-Ruiz

  2. Departament d’Anàlisi Matemàtica, Universitat de València, Dr. Moliner 50, 46100, Burjassot, València, Spain

    J. Garcia-Falset

  3. Departamento de Matemáticas Básicas, Centro de investigación en Matemáticas (CIMAT), Col. Valenciana, Jalisco s/n, 36240, Guanajuato, Gto., México

    J. Villada-Bedoya

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  1. D. Ariza-Ruiz
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  2. J. Garcia-Falset
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  3. J. Villada-Bedoya
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Correspondence to J. Garcia-Falset.

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Ariza-Ruiz, D., Garcia-Falset, J. & Villada-Bedoya, J. An existence principle for variational inequalities in Banach spaces. RACSAM 114, 19 (2020). https://doi.org/10.1007/s13398-019-00771-9

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  • DOI: https://doi.org/10.1007/s13398-019-00771-9

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