不动点集和零点集公共元的强弱收敛性

张丽娟, 佟慧

数学学报 ›› 2015, Vol. 58 ›› Issue (4) : 601-612.

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数学学报 ›› 2015, Vol. 58 ›› Issue (4) : 601-612. DOI: 10.12386/A2015sxxb0062
论文

不动点集和零点集公共元的强弱收敛性

    张丽娟, 佟慧
作者信息 +

Strong and Weak Convergence for Common Elements of Fixed Point Sets and Zero Point Sets

    Li Juan ZHANG, Hui TONG
Author information +
文章历史 +

摘要

在Hilbert空间中,为了找到渐近严格伪压缩映射的不动点集,极大单调算子与逆强单调映射和的零点集的公共元,文中引进两种迭代格式, 在某些条件下得到迭代序列的强弱收敛定理.

Abstract

We introduce two iterative schemes for finding common elements of the fixed point set of asymptotically strictly pseudocontractive mappings and the zreo point set of the operator which is the sum of inverse strongly monotone mappings and maximal monotone operators in a Hilbert space. We obtain strong and weak theorem for common element of the two sets under some conditions.

关键词

渐近严格伪压缩映射 / 逆强单调映射 / 极大单调算子 / 非扩张映射 / 不动点

Key words

asymptotically strictly pseudocontractive mapping / inverse strongly monotone mapping / maximal monotone operator / nonexpansive mapping / fixed point

引用本文

导出引用
张丽娟, 佟慧. 不动点集和零点集公共元的强弱收敛性. 数学学报, 2015, 58(4): 601-612 https://doi.org/10.12386/A2015sxxb0062
Li Juan ZHANG, Hui TONG. Strong and Weak Convergence for Common Elements of Fixed Point Sets and Zero Point Sets. Acta Mathematica Sinica, Chinese Series, 2015, 58(4): 601-612 https://doi.org/10.12386/A2015sxxb0062

参考文献

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基金

国家自然科学基金(11201110, 11401157);河北省自然科学基金(A2012201054)及河北省教育厅优秀青年基金(Y2012021)

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