期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
Fixed Point Theorems of Some Anti-mixed Monotone Operator in Banach Spaces
摘要/Abstract
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.
Abstract：
By using the cone and partial theory and non-symmetry iteration method, the existence and uniqueness of solutions of a class of antimixed monotone operator equations in Banach spaces are studied. And the iteration sequences which converge to solution of operato r equations and the error estimates are also given. For its application, the existence and uniqueness of solutions of non-anti-mixed monotone operator equatio ns are mainly studied, the results presented here improve and generalize some corresponding results for mixed monotone operators.
关键词
参考文献 8
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