摘要
引入和研究了一类新的变分包含包含系统.借助预解算子技巧给出了该变分包含系统的迭代算法及收敛定理.所得结果改进和推广了最近文献的一些相应结果。
A new system of general variational inclusions is introduced and studied. By aid of the resolvent operator technique,both the iterative algorithm and convergence theorem of this system are given,which generalizes and improves some known results in the literature.
引文
[1]Hassouni A,Moudafi A.A perturbed algorithms for variational inclusions[J].Joudnal of Mathematical Analysis Applications,1994,185(3):706-721.
[2]Mohapatra R N,Verma R U.Sensitivity analysis for cocoercively monotone variational inclusions and(A,η)maximal monotonicity[J].Journal of Applied Mathematics and Computing,2008,26(1/2):281-293.
[3]王中宝,丁协平.Banach空间一类新的含松弛-(H,η)-单调算子的广义混合拟似变分包含组[J].四川师范大学学报:自然科学版,2010,33(1):17-23.
[4]张超,毕中胜.随机模糊映射的广义非线性随机变分包含[J].四川大学学报:自然科学版,2007,44(3):499-502.
[5]李观荣.与H<·,·>-增生映射相关的广义变分包含[J].内江师范学院学报,2009,24(2):27-29.
[6]Noor M A,Noor K I.Resolvent methods for solving system of general variational inclusions[J].Joudnal of Optimization.Theory and Appl ications,2011,148(2):422-430.
[7]张彦.一类新的变分包含[J].内江师范学院学报,2012,27(2):8-10.
[8]武果果,冯世强,何中全.含参数(A,η)-单调算子的一类似变分包含组[J].贵州师范大学学报:自然科学版,2012,30(1):51-57.
[9]高大鹏,冯世强,何中全.涉及(A,η)-单调映射的一类广义隐似变分包含的近似可解性[J].贵州师范大学学报:自然科学版2009,27(2):67-70.