Proximal Methods with Bregman Distances to Solve VIP on Hadamard Manifolds with Null Sectional Curvature

作     者：Erik Alex Papa Quiroz Paulo Roberto Oliveira 

作者机构：Universidad Nacional Mayor de San MarcosUniversidad Privada del NorteLimaPeru PESC-COPPEFederal University of Rio de JaneiroRio de Janeiro CEP 21941-972Brazil 

出 版 物：《Journal of the Operations Research Society of China》 (中国运筹学会会刊（英文）)

年 卷 期：2021年第9卷第3期

页      面：499-523页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：INNOVATEPERU(Convenio No.460-PNICP-BRI-2015) 

主　　题：Proximal point methods Hadamard manifolds Bregman distances Variational inequality problems Monotone vector field 

摘      要：We present an extension of the proximal point method with Bregman distances to solve variational inequality problems(VIP)on Hadamard manifolds with null sectional *** some natural assumptions,as for example,the existence of solutions of the VIP and the monotonicity of the multivalued vector field,we prove that the sequence of the iterates given by the method converges to a solution of the ***,this convergence is linear or superlinear with respect to the Bregman distance.