摘要
在一般的Banach空间中,去掉对空间光滑性的严格要求,研究单值广义Φ-伪压缩映象的具误差的Ishikawa和Mann迭代序列的收敛性问题.使用了迭代的方法,得出具误差的Ishikawa迭代序列强收敛及强收敛于单值广义Φ-伪压缩映象的不动点的条件,改进、发展和推广了近年来文献中的一系列相应结果.
In general Banach spaces without the strict condition of being uniformly smooth, the convergence problem of Ishikawa and Mann iterative processes with error for generalized Ф-pseudo contractive mappings with single value is studied. The condition for fixed point of this kind of mapping is got by using the iterative procedure. A series of corresponding results in recent papers are improved and extended based on the presented results.
出处
《西安工业大学学报》
CAS
2008年第1期86-89,共4页
Journal of Xi’an Technological University