Some algorithms for equilibrium problems on Hadamard manifolds

Journal of inequalities and applications

Muhammad Aslam Noor¹ 

关键词: variational inequalities;    Hadamard manifold;    implicit methods;    convergence;   

DOI  :  10.1186/1029-242X-2012-230

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we suggest and analyze an iterative method for solving the equilibrium problems on Hadamard manifolds using the auxiliary principle technique. We also consider the convergence analysis of the proposed method under suitable conditions. Some special cases are considered. Results and ideas of this paper may stimulate further research in this fascinating and interesting field. MSC:49J40, 90C33, 26D10, 39B62.

【 授权许可】

CC BY