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2010, vol. 14, br. 1, str. 83-88
Convergence to common fixed points of two asymptotically nonexpansive type mappings
(naslov ne postoji na srpskom)
Department of Mathematics, Statistics and Physics, Doha, Qatar

e-adresasafeerhussain5@yahoo.com
Ključne reči: asymptotically nonexpansive type mappings; strong convergence; iteration scheme; common fixed points
Sažetak
(ne postoji na srpskom)
Common fixed points of two asymptotically non expansive type mappings have been approximated by strong convergence of an iteration scheme in a uniformly convex Banach space.
Reference
Chang, S.S., Cho, Y.J., Kim, J.K., Kim, K.H. (2001) Iterative approximation of fixed points for asymptotically non expansive type mappings in Banach spaces. PanAmer. Math. Journal, 11(3), 53-63
Goebel, K., Kirk, W.A. (1972) A fixed point theorem for asymptotically nonexpansive mappings. Proceedings of American Mathematical Society, 35, 171-174
Khan, S.H., Takahashi, W. (2001) Iterative approximation of fixed points of asymptotically non expansive mappings with compact domains. Pan Amer. Math. Journal, 11(1), 19-24
Khan, S.H., Takahashi, W. (2001) Approximating common fixed points of two asymptotically nonexpansive mappings. Sci. Math. Jpn., 53(1): 143
Schu, J. (1991) Iterative construction of fixed points of asymptotically nonexpansive mappings. Journal of Mathematical Analysis and Applications, 158, 407-413
Takahashi (2000) Iterative methods for approximation of fixed points and their applications. Journal of the Operations Research Society of Japan, 43: 87
Xu, H. (1991) Existence and convergence for fixed points of mappings of asymptotically nonexpansive type. Nonlinear Analysis, 16(12): 1139-1146
Xu, H.K. (1991) Inequalities in Banach spaces with applications. Nonlinear Analysis, Theory and Application, 16(20) 1127-1138