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Some Existence and Convergence Theorems for Solving a System of Hierarchical Optimization Problems

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In this article, we prove the existence and convergence theorems of the solution for a system of hierarchical variational inequality problem in Hilbert spaces. In this paper, we use Maingé’s approach for finding a solution of the system of hierarchical variational inequality problems. Our result in this article improves, extends, and generalizes some well-known corresponding results in the literature.

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Authors and Affiliations

  1. Valaya Alongkorn Rajabhat University under the Royal Patronage (VRU), Klong Luang District, Pathumthani Province, Thailand

    N. Wairojjana

  2. King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, Thailand

    P. Kumam

Authors
  1. N. Wairojjana
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  2. P. Kumam
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Correspondence to P. Kumam.

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Wairojjana, N., Kumam, P. Some Existence and Convergence Theorems for Solving a System of Hierarchical Optimization Problems. Comput Math Model 27, 228–246 (2016). https://doi.org/10.1007/s10598-016-9317-2

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  • DOI: https://doi.org/10.1007/s10598-016-9317-2

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