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

• DOI: 10.1007/s10957-015-0834-5
• Publication Date: 2015-11-05T18:07:22Z
• Authors: Xiao-bo Li; Li-wen Zhou; Nan-jing Huang
• Keywords: Hadamard three-circle theorem; Theory of computation

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.