Citation: | LIU Ying. Strong Convergence Theorems for Relatively Nonexpansive Mappings and Inverse-Strongly-Monotone Mappings in a Banach Space[J]. Applied Mathematics and Mechanics, 2009, 30(7): 865-872. doi: 10.3879/j.issn.1000-0887.2009.07.011 |
[1] |
Lions J L,Stampacchia G. Variational inequalities[J].Comm Pure Appl Math,1967,20(3):493-517. doi: 10.1002/cpa.3160200302
|
[2] |
Iiduka H,Takahashi W.Strong convergence studied by a hybrid type method for monotone operators in a Banach space[J].Nonlinear Analysis,2008,68(12):3679-3688. doi: 10.1016/j.na.2007.04.010
|
[3] |
Iiduka H,Takahashi W. Weak convergence of a projection algorithm for variational inequalities in a Banach space[J].J Math Anal Appl,2008,339(1):668-679. doi: 10.1016/j.jmaa.2007.07.019
|
[4] |
Iiduka H,Takahashi W. Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings[J].Nonlinear Analysis,2005,61(4):341-350. doi: 10.1016/j.na.2003.07.023
|
[5] |
Matsushita S Y,Takahashi W. A strong convergence theorem for relatively nonexpansive mappings in a Banach space[J].Journal of Approximation Theory,2005,134(2):257-266. doi: 10.1016/j.jat.2005.02.007
|
[6] |
Ball K, Carlen E A,Lieb E H. Sharp uniform convexity and smoothness inequalities for trace norms[J].Invent Math,1994,115(1):463-482. doi: 10.1007/BF01231769
|
[7] |
Alber Y I,Reich S.An iterative method for solving a class of nonlinear operator equations in Banach spaces[J].Panamer Math J,1994,4(2):39-54.
|
[8] |
Rockafellar R T.On the maximality of sums of nonlinear monotone operators[J].Trans Amer Math Soc,1970,149(1):75-88. doi: 10.1090/S0002-9947-1970-0282272-5
|