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Banach空间多值Φ-强伪压缩映像不动点的迭代逼近

Iterative Approximation of Fixed Points for Multivalued Φ-strongly Pseudo-contractive Mappings in Banach Spaces
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摘要 在一般Banach空间中,利用多值映像一致连续的性质,研究了多值Φ强伪压缩映像不动点的具误差的Ishikawa及Mann迭代逼近问题,得出了Ishikawa,Mann迭代序列强收敛的一个充分条件.由于单值映像是多值映像的特殊情况,故该结果改进和推广了近期相关结果. By using property of uniform continuity of multi-valued mappings, Ishikawa and Mann iterative sequences fixed points for multi-valued Ф-strongly pseudo-contractive mappings with errors in general Banach spaces are studied. Some sufficient conditions of strongly convergence theorems of Ishikawa and Mann iterative sequences with errors are given. Because single-valued mappings are the special cases of multi-valued, main results presented improve and extend relevant results of reference literature.
出处 《河北师范大学学报(自然科学版)》 CAS 北大核心 2006年第1期10-12,24,共4页 Journal of Hebei Normal University:Natural Science
基金 河北省自然科学基金资助项目(197061)
关键词 多值Ф-强伪压缩映像 具谩差的Ishikawa迭代序列 具谩差的Mann迭代序列 multivalued Ф-strongly pseudo-contractive mappings Ishikawa iterative sequence with errors Mann iterative sequence with errors
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