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Some Existence Results of Solutions for General Variational Inequalities

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Abstract

In this paper, we introduce a new class of operators. We present some fundamental properties of the operators belonging to this class and, as applications, we establish some existence results of the solutions for several general variational inequalities involving elements belonging to this class.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Sciences, Babeş-Bolyai University, M. Kogălniceanu 1, Cluj-Napoca, 400084, Romania

    Szilárd László

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  1. Szilárd László
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Correspondence to Szilárd László.

Additional information

Communicated by A. Maugeri.

The author wishes to express his sincere thanks to Dr. R.I. Boţ for his suggestions and help given for the improvement of this paper, and he is also grateful to two anonymous referees for their comments and suggestions which led to the improvement of the originally submitted version of this work.

The author wishes to thank for the financial support provided from programs co-financed by The Sectoral Operational Programme Human Resources Development, Contract POSDRU 6/1.5/S/3 — “Doctoral studies: through science towards society”.

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László, S. Some Existence Results of Solutions for General Variational Inequalities. J Optim Theory Appl 150, 425–443 (2011). https://doi.org/10.1007/s10957-011-9830-6

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  • DOI: https://doi.org/10.1007/s10957-011-9830-6

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