Banach空间中一类反向混合单调算子的不动点定理  

Fixed Point Theorems of Some Anti-mixed Monotone Operator in Banach Spaces

作　　者：徐华伟[1] 

机构地区：[1]商丘师范学院数学系,河南商丘476000

出　　处：《河北师范大学学报（自然科学版）》2009年第2期176-179,共4页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(10571011);河南省自然科学基金(072300410370)

摘　　要：运用锥与半序理论和非对称迭代方法,讨论半序Banach空间一类反向混合单调算子方程解的存在唯一性,给出了迭代序列收敛于解的误差估计,推广讨论了非反向混合单调算子方程解的存在唯一性,所得结果改进和推广了混合单调算子方程某些已知相应结果.By using the cone and partial theory and non-symmetry iteration method,the existence and uniqueness of solutions of a class of anti-mixed monotone operator equations in Banach spaces are studied.And the iteration sequences which converge to solution of operator equations and the error estimates are also given.For its application,the existence and uniqueness of solutions of non-anti-mixed monotone operator equations are mainly studied,the results presented here improve and generalize some corresponding results for mixed monotone operators.

关 键 词：锥与半序 反向混合单调算子 非对称迭代 不动点 

分 类 号：O177.91[理学—数学]