节点文献
一类非紧反向混合单调算子解的存在唯一性及其应用
THE EXISTENCE OF UNIQUENESS OF THE SOLUTIONS OF SOME NONCOMPAC ANTI-MIXED MONOTONE OPERATOR AND APPLICATIONS
【摘要】 利用锥理论和非对称迭代方法,讨论了不具有连续性和紧性条件的反向混合单调算子方程解的存在唯一性,作为其应用着重讨论了非反向混合单调算子方程解的存在唯一性,并给出了迭代序列收敛于解的误差估计.
【Abstract】 By using the cone theory and non-symmetry interation method,it is studied the existence and uniqueness of solutions of anti-mixed monotone operator equations without continuity and compactness conditions.For its application,it is mainly studied the existence and uniqueness of solutions of non-anti-mixed monotone operator equations,and the iteration sequences which converge to solution of operator equations and the error estimates are also given.
【关键词】 正规锥;
反向混合单调算子;
迭代解;
【Key words】 Normal cone; Anti-mixed monotone operator; Iterative solutions;
【Key words】 Normal cone; Anti-mixed monotone operator; Iterative solutions;
【基金】 河南省教委科研基金资助项目(20041048300-4);商丘师范学院重点学科资助
- 【文献出处】 哈尔滨师范大学自然科学学报 ,Natural Science Journal of Harbin Normal University , 编辑部邮箱 ,2006年01期
- 【分类号】O177
- 【被引频次】1
- 【下载频次】30