On modified iterative method for nonexpansive mappings and monotone mappings
作者： Yonghong Yao , Jen-Chih Yao
DOI: 10.1016/J.AMC.2006.08.062
关键词:
摘要: Abstract In this paper, we introduce a new iterative scheme for finding the common element of set fixed points nonexpansive mapping and solutions variational inequality α-inverse-strongly monotone mappings. We show that sequence converges strongly to above two sets under some parameters controlling conditions.
elsevier.com
sci-hub.se 参考文章(13)
Fengshan Liu, M. Zuhair Nashed, Regularization of Nonlinear Ill-Posed Variational Inequalities and Convergence Rates Set-valued Analysis. ,vol. 6, pp. 313- 344 ,(1998) , 10.1023/A:1008643727926
W. Takahashi, M. Toyoda, Weak Convergence Theorems for Nonexpansive Mappings and Monotone Mappings Journal of Optimization Theory and Applications. ,vol. 118, pp. 417- 428 ,(2003) , 10.1023/A:1025407607560
Jen-Chih Yao, Ouayl Chadli, Pseudomonotone Complementarity Problems and Variational Inequalities Springer, New York, NY. pp. 501- 558 ,(2005) , 10.1007/0-387-23393-8_12
G. M. Korpelevich, The extragradient method for finding saddle points and other problems Matecon. ,vol. 12, pp. 747- 756 ,(1976)
Lu-Chuan Zeng, Ngai-Ching Wong, Jen-Chih Yao, STRONG CONVERGENCE THEOREMS FOR STRICTLY PSEUDOCONTRACTIVE MAPPINGS OF BROWDER-PETRYSHYN TYPE Taiwanese Journal of Mathematics. ,vol. 10, pp. 837- 849 ,(2006) , 10.11650/TWJM/1500403876
Lu-Chuan Zeng, Jen-Chih Yao, STRONG CONVERGENCE THEOREM BY AN EXTRAGRADIENT METHOD FOR FIXED POINT PROBLEMS AND VARIATIONAL INEQUALITY PROBLEMS Taiwanese Journal of Mathematics. ,vol. 10, pp. 1293- 1303 ,(2006) , 10.11650/TWJM/1500557303
L. C. Zeng, S. Schaible, J. C. Yao, Iterative Algorithm for Generalized Set-Valued Strongly Nonlinear Mixed Variational-Like Inequalities Journal of Optimization Theory and Applications. ,vol. 124, pp. 725- 738 ,(2005) , 10.1007/S10957-004-1182-Z
Tomonari Suzuki, Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals Journal of Mathematical Analysis and Applications. ,vol. 305, pp. 227- 239 ,(2005) , 10.1016/J.JMAA.2004.11.017
Hong-Kun Xu, VISCOSITY APPROXIMATION METHODS FOR NONEXPANSIVE MAPPINGS Journal of Mathematical Analysis and Applications. ,vol. 298, pp. 279- 291 ,(2004) , 10.1016/J.JMAA.2004.04.059
F.E Browder, W.V Petryshyn, Construction of fixed points of nonlinear mappings in Hilbert space Journal of Mathematical Analysis and Applications. ,vol. 20, pp. 197- 228 ,(1967) , 10.1016/0022-247X(67)90085-6