Gap Functions and Global Error Bounds for Generalized Mixed Variational Inequalities on Hadamard Manifolds

Xiao-bo Li (), Li-wen Zhou () and Nan-jing Huang ()
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Xiao-bo Li: Southwest Petroleum University
Li-wen Zhou: Southwest Petroleum University
Nan-jing Huang: Sichuan University

Journal of Optimization Theory and Applications, 2016, vol. 168, issue 3, No 6, 830-849

Abstract: Abstract In this paper, a generalized mixed variational inequality on Hadamard manifolds is introduced and studied. Some gap functions for the generalized mixed variational inequality on Hadamard manifolds are obtained under suitable conditions. By using these gap functions, global error bounds for the generalized mixed variational inequality are derived on Hadamard manifolds. The main results presented in this paper generalize and improve corresponding known results.

Keywords: Hadamard manifold; Generalized mixed variational inequality; Gap function; Global error bound; 58C05; 58E35 (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10957-015-0834-5

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