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非线性混合变分包含的Ishikawa迭代过程与稳定性(英文)

Ishikawa Iterative Procedure and Stability for Nonlinear Mixed Variational Inclusions
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摘要 在Banach空间中引入和研究了一类新的带( A,η)-增生映象的广义非线性混合变分包含,并证明了这种变分包含解的存在性,而且在q-一致光滑Banach空间中讨论了求解的Ishikawa迭代过程的收敛性和稳定性. A new class of generalized nonlinear mixed variational inclusions involving （A, η）-accretive mappings is studied in Banach spaces,an existence theorem of solution for this kind of variational inclusion is proved, and a new Ishikawa iterative algorithm is established, and the stability and the convergence of iterative sequences generated by the algorithm is discussed in q-uniformly smooth Banach spaces.
作者 李红刚
机构地区 重庆邮电大学应用数学研究所
出处 《吉首大学学报（自然科学版）》 CAS 2008年第5期14-18,共5页 Journal of Jishou University(Natural Sciences Edition)
关键词 广义非线性混合变分包含 (A η)-增生映象 稳定性 预解算子 Ishikawa迭代算法 generalized nonlinear mixed variational inclusions （A, η）-accretive mapping stability resolvent operator Ishikawa iterative procedure
分类号 O177.91 [理学—基础数学]
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参考文献8

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吉首大学学报（自然科学版）
2008年 第5期

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