摘要
首先在(π)1空间的闭集上证明了凝聚映射必为A-Proper映射,进而证明了型如f(x)-λx=0方程当f为弱内向k-集压缩映射且λ>k时是弱逼近可解的,若f为李普希兹型映射,方程还是强逼近可解的.它们推广与改进了[1-3]中一些重要结论.
The A-properness of condensing map is obtained. Then,we prove that the equation f(x)-λx =0 is feebly approximation solvable for weakly inward and k-set-contractive maps with k〉λ. At the same time,the strong approximation solvability of the equation for Lipschitz is established. The results generalize those shown in references[1-3].
出处
《辽宁师范大学学报(自然科学版)》
CAS
北大核心
2007年第2期138-140,共3页
Journal of Liaoning Normal University:Natural Science Edition