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Mean Value Theorems for the Scalar Derivative and Applications

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Nonlinear Analysis and Variational Problems

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 35))

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Abstract

In this paper, we present some mean value theorems for the scalar derivatives. This mathematical tool is used to develop a new method applicable to the study of existence of nontrivial solutions of complementarity problems.

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Acknowledgment

The authors express their gratitude to A. B. Németh for many helpful conversations. S. Z. Németh was supported by the Hungarian Research Grant OTKA 60480.

Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, Royal Military College of Canada, STN Forces Kingston, P.O. Box 17000, K7K 7B4, Ontario, Canada

    G. Isac†

  2. The University of Birmingham, School of Mathematics, The Watson Building, Edgbaston, B15 2TT, Birmingham, UK

    S.Z. Németh

Authors
  1. G. Isac†
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  2. S.Z. Németh
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Editor information

Editors and Affiliations

  1. Dept. Industrial & Systems, Engineering, University of Florida, Weil Hall 303, Gainesville, 32611-6595, Florida, USA

    Panos M. Pardalos

  2. Zagoras Street 4, Athens, 151 25, Greece

    Themistocles M. Rassias

  3. School of Mathematical Sciences, Rochester Institute of Technology, Lomb Memorial Drive 85, Rochester, 14623-5602, USA

    Akhtar A. Khan

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Isac†, G., Németh, S. (2010). Mean Value Theorems for the Scalar Derivative and Applications. In: Pardalos, P., Rassias, T., Khan, A. (eds) Nonlinear Analysis and Variational Problems. Springer Optimization and Its Applications, vol 35. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-0158-3_22

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