机构地区: 南昌大学理学院数学系
出 处: 《南昌大学学报(理科版)》 2011年第3期214-218,220,共6页
摘 要: 在实Banach空间中,利用锥理论和单调迭代技巧,研究一类反向混合单调算子的藕合不动点存在唯一性和迭代收敛性问题,得到了一些新结果。所得的主要结果推广了最近一些文献中的相应的结论。如文[9]中讨论的减映象的不动点定论。 The paper studied the existence and uniqueness of coupled fixed points for a class of anti mixed monotone operators and the iterated convergent problem by means of the cone theory and the technique of monotone iteration. Some new results were obtainedin real Banach space, which generalized the corresponding conclusion in recent articles, such as the fixed theorem for nonincreasing maps in paper[-9-].