JOURNAL OF LIGHT INDUSTRY

CN 41-1437/TS  ISSN 2096-1553

Volume 33 Issue 4
July 2018
Article Contents
ZHANG Shuyi, LIU Donghong and CONG Peigen. Viscosity iterative approximation of common solutions for nonexpansive semigroups and variational inequalities[J]. Journal of Light Industry, 2018, 33(4): 86-100,108. doi: 10.3969/j.issn.2096-1553.2018.04.012
Citation: ZHANG Shuyi, LIU Donghong and CONG Peigen. Viscosity iterative approximation of common solutions for nonexpansive semigroups and variational inequalities[J]. Journal of Light Industry, 2018, 33(4): 86-100,108. doi: 10.3969/j.issn.2096-1553.2018.04.012 shu

Viscosity iterative approximation of common solutions for nonexpansive semigroups and variational inequalities

  • Received Date: 2017-07-02
  • Using the implicit and explicit viscous iterative algorithms for nonexpansive semigroups, convergence theorem of the common elements of the set of common fixed points of nonexpansive semigroups and the set of variational inequalities with a strongly monotone maps were established in Hilbert space, which generalized and improved the results in related literature.
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    1. [1]

      ALBER Y I,GUERRE-DELABRIERE S.Principles of weakly contractive maps in Hilbert spaces[J].Oper Theory and Appl,1997,98:7.

    2. [2]

      TAKAHASHI W,TOYODA M.Weak convergence theorems for nonexpansive mappings and monotone mappings[J].J Optim Theory Appl,2003,118:417.

    3. [3]

      CHEN J M,ZHANG L J,FAN T G.Viscosity approximation methods for nonexpansive mappings and monotone mappings[J].J Math Anal Appl,2007,334:1450.

    4. [4]

      RAZAMI A,YAZDI Y. An iterative method for a family nonexpansive mappings[J].Math Reports,2014,16(66):7.

    5. [5]

      PLUBTIENG S,PUNPAENG R.Fixed-point solutions of variational inequalities for nonexpansive semigroups in Hilbert spaces[J].Math Comput Modell,2008,48(1-2):279.

    6. [6]

      PLUBTIENG S,WANGKEEREE R.A general viscosity approximation method of fixed point solutions of variational inequalities for nonexpansive semigroups in Hilbert spaces[J].Bull Korean Math Soc,2008,45(4):717.

    7. [7]

      ZHANG D,QIN X,GU F.Approximation of common fixed points of nonexpansive semigroups in Hilbert spaces[J].Journal of Applied Mathematics,doi:10.1155/2012/417234.

    8. [8]

      张树义.一致Lipschitz渐近φi-型拟伪压缩映象多步平行迭代算法的收敛性[J].系统科学与数学,2013,33(11):1233.

    9. [9]

      张树义,宋晓光.非Lipschitz有限族集值广义渐近φ-半压缩映象的强收敛定理[J].系统科学与数学,2014,34(9):1051.

    10. [10]

      张树义.赋范线性空间中渐近拟伪压缩型映象不动点的修改的广义Ishikawa迭代逼近[J].应用数学学报,2011,34(5):886.

    11. [11]

      张树义,赵美娜,李丹.渐近半压缩映象具混合型误差的迭代收敛性[J].北华大学学报(自然科学版),2015,16(3):165.

    12. [12]

      赵美娜,张树义,赵亚莉.有限族广义一致伪Lipschitz映象公共不动点的迭代收敛性[J].烟台大学学报(自然科学与工程版),2017,30(1):7.

    13. [13]

      张树义,李丹,丛培根.增生算子零点的迭代逼近[J].北华大学学报(自然科学版),2017,18(2):1.

    14. [14]

      赵美娜,张树义,郑晓迪. 一类算子方程迭代序列的稳定性[J]. 轻工学报,2016,31(6):100.

    15. [15]

      林媛,张树义,李丹.Banach空间中渐近非扩张型映象Reich-Takahashi迭代序列的收敛性[J].烟台大学学报(自然科学与工程版), 2017,18(3):185.

    16. [16]

      赵美娜,张树义,赵亚莉.渐近伪压缩型映象不动点的迭代逼近[J].数学的实践与认识,2016,46(15):264.

    17. [17]

      张树义,李丹,林媛,等.非自渐近非扩张型映象具误差的Reich-Takahashi粘滞迭代逼近[J].北华大学学报(自然科学版),2017,18(3):287.

    18. [18]

      张树义,林媛,郑晓迪.强增生映像零点的迭代逼近[J].浙江师范大学学报(自然科学版),2017,40(2):127.

    19. [19]

      李丹,张树义,丛培根.φ-强增生算子方程解的Noor三步迭代收敛率的估计[J].鲁东大学学报(自然科学版),2017,33(3):193.

    20. [20]

      林媛,丛培根,张树义.带混合误差的粘滞迭代算法的强收敛定理[J].南阳师范学院学报(自然科学版),2017,16(9):15.

    21. [21]

      丛培根,张芯语,张树义.两有限族映象迭代序列的稳定性[J].鲁东大学学报(自然科学版),2017,33(4):296.

    22. [22]

      张树义,赵美娜,丛培根.广义渐近S-半压缩型映象迭代逼近[J].西华师范大学学报(自然科学版),2017,38(4):399.

    23. [23]

      刘冬红,张树义,丛培根.渐近伪压缩型半群不动点的隐式迭代逼近[J].西华大学学报(自然科学版),2017,36(6):105.

    24. [24]

      林媛,张树义,丛培根.渐近非扩张型映象具有误差的迭代收敛性[J].石河子大学学报(自然科学版),2017,35(4):513.

    25. [25]

      李丹,张树义,赵美娜.Φ-伪压缩映象迭代序列的收敛性与稳定性[J].烟台大学学报(自然科学与工程),2017,30(2):79.

    26. [26]

      MARINO G,XU H K.A general iterative method for nonexpansive mappings in Hilbert spaces[J].J Math Anal Appl,2006,318(1):43.

    27. [27]

      SHIMIZU T,TAKAHASHI W.Strong convergence to common fixed points of nonexpansive mappings[J].J Math Anal Appl,1997,211(1):71.

    28. [28]

      LIU L S.Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces[J].J Math Anal Appl,1995,194(1):114.

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