ZHANG Shi-sheng. Convergence Theorem of Common Fixed Points for Lipschitzian Pseudocontraction Semigroups in Banach Spaces[J]. Applied Mathematics and Mechanics, 2009, 30(2): 142-148.
Citation:
ZHANG Shi-sheng. Convergence Theorem of Common Fixed Points for Lipschitzian Pseudocontraction Semigroups in Banach Spaces[J]. Applied Mathematics and Mechanics, 2009, 30(2): 142-148.
ZHANG Shi-sheng. Convergence Theorem of Common Fixed Points for Lipschitzian Pseudocontraction Semigroups in Banach Spaces[J]. Applied Mathematics and Mechanics, 2009, 30(2): 142-148.
Citation:
ZHANG Shi-sheng. Convergence Theorem of Common Fixed Points for Lipschitzian Pseudocontraction Semigroups in Banach Spaces[J]. Applied Mathematics and Mechanics, 2009, 30(2): 142-148.
Some weak convergence theorems of the impliaty iteration precess for a Iapschitaan pseu-docontractive semi-groups in general Banach spaces were established, which extend and improve the corcespondin A new results of Zhou, Chen, et al, Xu, et al and Osilike.
Browder F E.Nonlinear Operators and Nonlinear Equations of Evolution in Banach Spaces[M].Proc Sympos Pure Math,18(2).Providence RI:Amer Math Soc,1976.
[2]
Kim T H,Xu H K.Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups[J].Nonlinear Anal,2006,64(5):1140-1152. doi: 10.1016/j.na.2005.05.059
[3]
Xu H K.Strong asymptotic behavior of almost-robits of nonlinear semigroups[J].Nonlinear Anal,2001,46(1):135-151. doi: 10.1016/S0362-546X(99)00453-8
[4]
Deimling K.Zeros of accretive operators[J].Manuscripta Math,1974,13(4):365-374. doi: 10.1007/BF01171148
[5]
Chang S S,Cho Y J,Zhou H Y.Iterative Methods for Nonlinear Operator Equations in Banach Spaces[M].New York:Nova Science Publishers,2002.
[6]
Xu H K,Ori R G.An implicit iteration process for nonexpansive mappings[J].Numer Func Anal Optim,2001,22(5/6):767-773. doi: 10.1081/NFA-100105317
[7]
Osilike M O.Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps[J].J Math Anal Appl,2004,294(1):73-81. doi: 10.1016/j.jmaa.2004.01.038
[8]
Chen R D,Song Y S,Zhai H Y.Convergence theorems for implicit iteration press for a finite family of continuous pseudocontractive mappings[J].J Math Anal Appl,2006,314(2):701-709. doi: 10.1016/j.jmaa.2005.04.018
[9]
Zhou H Y. Convergence theorems of common fixed points for a finite family of Lipschitzian pseudocontractions in Banach spaces[J].Nonlinear Anal,2008,68(10):2977-2983. doi: 10.1016/j.na.2007.02.041
[10]
Bruck R E.A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces[J].Israel J Math,1979,32(1):107-116. doi: 10.1007/BF02764907
ZHANG Shi-sheng. Convergence Theorem of Common Fixed Points for Lipschitzian Pseudocontraction Semigroups in Banach Spaces[J]. Applied Mathematics and Mechanics, 2009, 30(2): 142-148.
ZHANG Shi-sheng. Convergence Theorem of Common Fixed Points for Lipschitzian Pseudocontraction Semigroups in Banach Spaces[J]. Applied Mathematics and Mechanics, 2009, 30(2): 142-148.
DownLoad: