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Levitin–Polyak well-posedness by perturbations for the split inverse variational inequality problem

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Abstract

In this paper, we extend the notion of Levitin–Polyak wellposedness by perturbations to the split inverse variational inequality problem. We derive metric characterizations of Levitin–Polyak wellposedness by perturbations. Under mild conditions, we prove that the Levitin–Polyak well-posedness by perturbations of the split inverse variational inequality problem is equivalent to the existence and uniqueness of its solution.

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Authors and Affiliations

  1. Department of Applied Mathematics, Chengdu University of Information Technology, Chengdu, Sichuan, China

    Rong Hu

  2. Department of Mathematics, Sichuan University, Chengdu, Sichuan, China

    Ya-Ping Fang

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  1. Rong Hu
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  2. Ya-Ping Fang
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Correspondence to Ya-Ping Fang.

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Hu, R., Fang, YP. Levitin–Polyak well-posedness by perturbations for the split inverse variational inequality problem. J. Fixed Point Theory Appl. 18, 785–800 (2016). https://doi.org/10.1007/s11784-016-0321-0

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  • DOI: https://doi.org/10.1007/s11784-016-0321-0

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