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On Parametric Nonconvex Variational Inequalities

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Analytic Number Theory, Approximation Theory, and Special Functions

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Abstract

In this paper, we consider the parametric nonconvex variational inequalities and parametric nonconvex Wiener–Hopf equations. Using the projection technique, we establish the equivalence between the parametric nonconvex variational inequalities and parametric nonconvex Wiener–Hopf equations. We use this alternative equivalence formulation to study the sensitivity analysis for the parametric nonconvex variational inequalities. Our results can be considered as a significant extension of previously known results. The ideas and techniques may be used to stimulate further research for multivalued nonconvex variational inequalities and their variant forms.

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Acknowledgements

The author would like to express his sincere gratitude to Dr. M. Junaid Zaidi, Rector, CIIT, for providing excellent research facilities. The author would like to thank Prof. Dr. Th. M. Rassias for his kind invitation and his encouragement.

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Authors and Affiliations

  1. Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan

    Muhammad Aslam Noor

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  1. Muhammad Aslam Noor
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Correspondence to Muhammad Aslam Noor .

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Editors and Affiliations

  1. Mathematical Institute, Serbian Academy of Sciences and Arts, Belgrade, Serbia

    Gradimir V. Milovanović

  2. Department of Mathematics, ETH Zürich, Zürich, Switzerland

    Michael Th. Rassias

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Dedicated to Professor Hari M. Srivastava

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Noor, M.A. (2014). On Parametric Nonconvex Variational Inequalities. In: Milovanović, G., Rassias, M. (eds) Analytic Number Theory, Approximation Theory, and Special Functions. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-0258-3_18

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