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Degree theory for a generalized set-valued variational inequality with an application in Banach spaces

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Abstract

In this paper, a degree theory for a generalized set-valued variational inequality is built in a Banach space. As an application, an existence result of solutions for the generalized set-valued variational inequality is given under some suitable conditions.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, Sichuan, 610064, People’s Republic of China

    Zhong Bao Wang & Nan Jing Huang

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  1. Zhong Bao Wang
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  2. Nan Jing Huang
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Correspondence to Nan Jing Huang.

Additional information

This work was supported by the Key Program of NSFC (Grant No. 70831005), the National Natural Science Foundation of China (10671135) and the Specialized Research Fund for the Doctoral Program of Higher Education (20060610005).

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Wang, Z.B., Huang, N.J. Degree theory for a generalized set-valued variational inequality with an application in Banach spaces. J Glob Optim 49, 343–357 (2011). https://doi.org/10.1007/s10898-010-9547-3

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  • DOI: https://doi.org/10.1007/s10898-010-9547-3

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