Voir la notice de l'article provenant de la source International Scientific Research Publications
Yolacan, Esra 1 ; Kiziltunc, Hukmi 1
@article{JNSA_2012_5_5_a7, author = {Yolacan, Esra and Kiziltunc, Hukmi}, title = {On convergence theorems for total asymptotically nonexpansive nonself-mappings in {Banach} spaces}, journal = {Journal of nonlinear sciences and its applications}, pages = {389-402}, publisher = {mathdoc}, volume = {5}, number = {5}, year = {2012}, doi = {10.22436/jnsa.005.05.08}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.22436/jnsa.005.05.08/} }
TY - JOUR AU - Yolacan, Esra AU - Kiziltunc, Hukmi TI - On convergence theorems for total asymptotically nonexpansive nonself-mappings in Banach spaces JO - Journal of nonlinear sciences and its applications PY - 2012 SP - 389 EP - 402 VL - 5 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.22436/jnsa.005.05.08/ DO - 10.22436/jnsa.005.05.08 LA - en ID - JNSA_2012_5_5_a7 ER -
%0 Journal Article %A Yolacan, Esra %A Kiziltunc, Hukmi %T On convergence theorems for total asymptotically nonexpansive nonself-mappings in Banach spaces %J Journal of nonlinear sciences and its applications %D 2012 %P 389-402 %V 5 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.22436/jnsa.005.05.08/ %R 10.22436/jnsa.005.05.08 %G en %F JNSA_2012_5_5_a7
Yolacan, Esra; Kiziltunc, Hukmi. On convergence theorems for total asymptotically nonexpansive nonself-mappings in Banach spaces. Journal of nonlinear sciences and its applications, Tome 5 (2012) no. 5, p. 389-402. doi : 10.22436/jnsa.005.05.08. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.005.05.08/
[1] Approximating fixed points of total asymptotically nonexpansive mappings, Fixed Point Theory Appl., article ID 10673. , 2006
[2] Iterative approximation of fixed points. Second edition, Lecture Notes in Mathematics, 1912, Springer, Berlin, 2007
[3] Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property, in: Colloq. Math., Volume 2 (1993), pp. 169-179
[4] Geometric Properties of Banach Spaces and Nonlinear Iterations, Springer, Berlin, 2009
[5] Strong and weak convergence theorems for fixed points of asymptotically nonexpansive mappings, J. Math. Anal. Appl., Volume 280 (2003), pp. 364-374
[6] Approximation of common fixed points for finite families of total asymptotically nonexpansive mappings, J. Math. Anal. Appl., Volume 333 (2007), pp. 128-141
[7] Weak and strong convergence theorems for three-step _ Iterations with errors for asymptotically nonexpansive mappings, Comput. Math. Appl., Volume 47 (2004), pp. 707-717
[8] A fixed point theorem for asymptotically nonexpansive mappings, Proc. Amer. Math. Soc., Volume 35 (1972), pp. 171-174
[9] Strong convergence of the modified three step iterative process in Banach spaces, Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal., Volume 15 (2008), pp. 555-571
[10] Approximanting common fixed points of two asymptotically nonexpansive mappings, Sci. Math. Jpn., Volume 53 (1) (2001), pp. 143-148
[11] Convergence theorems for nonself asymptotically nonexpansive mappings, Comput. Math. Appl., Volume 55 (2008), pp. 2544-2553
[12] Mann and Ishikawa iterations with errors for non-Lipschitzian mappings in Banach spaces, Comput. Math. Appl., Volume 42 (2001), pp. 1565-1570
[13] Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type, Israel J. Math., Volume 17 (1974), pp. 339-346
[14] Approximating fixed points by Ishikawa iterates, Bull. Aust. Math. Soc., Volume 40 (1989), pp. 113-117
[15] A new strong convergence Theorem for non-Lipschitzian Mappings in a uniformly convex Banach Space, Rostock, Math. Kolloq., Volume 64 (2009), pp. 75-86
[16] Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings, Math. Comput. Modelling, Volume 32 (2000), pp. 1181-1191
[17] Approximating common fixed points of non-self asymptotically nonexpansive mappings in Banach Spaces, J. Appl. Math. Comput., Volume 26 (2008), pp. 233-246
[18] Iterative construction of fixed points of asymptotically nonexpansive mappings, J. Math. Anal. Appl., Volume 158 (1991), pp. 407-413
[19] Weak and strong convergence of a fixed points of asymptotically nonexpansive mappings , Bull. Aust. Math. Soc., Volume 43 (1991), pp. 153-159
[20] Approximating fixed points of nonexpansive mappings, Proc. Amer. Math. Soc., Volume 44 (1974), pp. 375-380
[21] Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process, J. Math. Anal. Appl., Volume 178 (1993), pp. 301-308
[22] Ishikawa and Mann iterative processes with errors for nonlinear strongly accretive operator equations, J. Math. Anal. Appl., Volume 224 (1998), pp. 91-101
Cité par Sources :