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希尔伯特空间中的广义松弛余强制变分不等式体系及带误差的三步投影方法
Generalized System for Relaxed Cocoercive Variational Inequalities and Three-step Projection Methods in Hilbert Space
【摘要】 给出了希尔伯特空间H中一类带误差的三步投影方法,借助投影方法的收敛性证明了由该算法生成的迭代序列强收敛于此类广义松弛余强制变分不等式体系问题的精确解,并推广了最近文献的一些主要结果.
【Abstract】 In this paper,a class of three-step projection methods with errors is given in Hilbert spaces.Based on tte convergence of projection methods,it is proved that the iterative sequence generated by the algorithm is strongly converged to the exact solution for generalized system of relaxed cocoercive variational inequalities.The result obtained in this paper is a generalization of some main results in recent refernces.
【关键词】 松弛余强制非线性变分不等式;
带误差的二步投影方法;
松弛映象;
投影方法的收敛性;
【Key words】 Relaxed cocoercive nonlinear variational inequalities; Three-step projection methods with errors; Relaxed mappings; Convergence of projection methods;
【Key words】 Relaxed cocoercive nonlinear variational inequalities; Three-step projection methods with errors; Relaxed mappings; Convergence of projection methods;
【基金】 重庆市自然科学基金(CSTC2007BB0441);重庆市科委科技项目(KJ070403,KJ080404);重庆市高等教育基金(0833141)资助项目
- 【文献出处】 四川师范大学学报(自然科学版) ,Journal of Sichuan Normal University(Natural Science) , 编辑部邮箱 ,2009年02期
- 【分类号】O177.91
- 【被引频次】8
- 【下载频次】83