| Banach空间中k-次增生型变分包含解的存在与收敛性 |
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| 引用本文： | 张树义.Banach空间中k-次增生型变分包含解的存在与收敛性[J].系统科学与数学,2012,32(3):363-376. |
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| 作者姓名： | 张树义 |
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| 作者单位： | 渤海大学数理学院数学系,锦州,121013 |
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| 摘 要： | 在实自反Banach空间中,引入并研究一类k-次增生型变分包含问题,证明了这类变分包含解的存在与唯一性,并在去掉α_n→0,β_n→0(n→∝)以及序列{x_n)和{_η(g(x_n))}有界限制的条件下,建立了k-次增生型变分包含和变分不等式解的具有混合误差的多步迭代序列的强收敛性定理,给出了收敛率的估计式,从而改进和推广了前人的研究结果.
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| 关 键 词： | 变分包含 变分不等式 多步迭代序列 κ-次增生映象 收敛率估计 |
THE EXISTENCE AND CONVERGENCE OF SOLUTIONS FOR VARIATIONAL INCLUSIONS WITH k-SUBACCRETIVE TYPE MAPPINGS IN BANACH SPACES |
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| ZHANG Shuyi.THE EXISTENCE AND CONVERGENCE OF SOLUTIONS FOR VARIATIONAL INCLUSIONS WITH k-SUBACCRETIVE TYPE MAPPINGS IN BANACH SPACES[J].Journal of Systems Science and Mathematical Sciences,2012,32(3):363-376. |
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| Authors: | ZHANG Shuyi |
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| Institution: | ZHANG Shuyi (Department of Mathematics,College of Mathematics and Physics,Bohai University,Jinzhou 121013) |
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| Abstract: | The purpose of this paper is to introduce and study a new class of variational inclusion problems with Lipschitz fc-subaccretive type mappings in real reflexive Banach spaces. The existence and uniqueness of such solutions are proved and convergence of the multi-step iterative sequences with mixed errors of solutions for the variational inclusions and variational inequalities with fc-subaccretive type mappings are also established under removing some restrictions. General convergence rate estimates are given in our results,which improve and extend the existing research results. |
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| Keywords: | Variational inclusion variational inequality multi-step iterative sequences k-subaccretive mappings convergence rate estimate |
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