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Convergence of Three-Step Iterations Scheme for Nonself Asymptotically Nonexpansive Mappings  [cached]
Seyit Temir
Fixed Point Theory and Applications , 2010, DOI: 10.1155/2010/783178
Abstract: Weak and strong convergence theorems of three-step iterations are established for nonself asymptotically nonexpansive mappings in uniformly convex Banach space. The results obtained in this paper extend and improve the recent ones announced by Suantai (2005), Khan and Hussain (2008), Nilsrakoo and Saejung (2006), and many others.
Convergence of Three-Step Iterations Scheme for Nonself Asymptotically Nonexpansive Mappings  [cached]
Temir Seyit
Fixed Point Theory and Applications , 2010,
Abstract: Weak and strong convergence theorems of three-step iterations are established for nonself asymptotically nonexpansive mappings in uniformly convex Banach space. The results obtained in this paper extend and improve the recent ones announced by Suantai (2005), Khan and Hussain (2008), Nilsrakoo and Saejung (2006), and many others.
Weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spaces
Banerjee,Shrabani; Choudhury,Binayak S;
Cubo (Temuco) , 2012, DOI: 10.4067/S0719-06462012000300010
Abstract: in this paper we have defined a multistep iterative scheme with errors involving a family of asymptotically nonexpansive nonself mappings in banach spaces. a retraction has been used in the construction of theiteration. we prove here weak and strong convergences of the iteration to common fixed points of the family of asymptotically nonexpansive nonself mappings. we have used several concepts of banach space geometry. our results improve and extend some recent results.
Convergence Theorems on a New Iteration Process for Two Asymptotically Nonexpansive Nonself-Mappings with Errors in Banach Spaces
Murat Ozdemir,Sezgin Akbulut,Hukmi Kiziltunc
Discrete Dynamics in Nature and Society , 2010, DOI: 10.1155/2010/307245
Abstract: We introduce a new two-step iterative scheme for two asymptotically nonexpansive nonself-mappings in a uniformly convex Banach space. Weak and strong convergence theorems are established for this iterative scheme in a uniformly convex Banach space. The results presented extend and improve the corresponding results of Chidume et al. (2003), Wang (2006), Shahzad (2005), and Thianwan (2008).
Weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spaces  [cached]
Shrabani Banerjee,Binayak S Choudhury
Cubo : A Mathematical Journal , 2012,
Abstract: In this paper we have defined a multistep iterative scheme with errors involving a family of asymptotically nonexpansive nonself mappings in Banach spaces. A retraction has been used in the construction of theiteration. We prove here weak and strong convergences of the iteration to common fixed points of the family of asymptotically nonexpansive nonself mappings. We have used several concepts of Banach space geometry. Our results improve and extend some recent results. En este artículo definimos un esquema de multi paso iterativo con errores que involucran una familia de aplicaciones no expansivas y no auto asintóticamente en espacios deBanach. Una retracción se ha usado en la construcción de la iteración. Probamos convergencias débiles y fuertes de las iteraciones a puntos fijos clásicos de la familia de aplicaciones no expansivas no auto asintóticamente. Hemos usado varios conceptos de geometría en espacios de Banach. Nuestro resultado mejora y extiende algunos resultados recientes.
Some Weak Convergence Theorems for a Family of Asymptotically Nonexpansive Nonself Mappings  [cached]
Yan Hao,Sun Young Cho,Xiaolong Qin
Fixed Point Theory and Applications , 2010, DOI: 10.1155/2010/218573
Abstract: A one-step iteration with errors is considered for a family of asymptotically nonexpansive nonself mappings. Weak convergence of the purposed iteration is obtained in a Banach space.
Some Weak Convergence Theorems for a Family of Asymptotically Nonexpansive Nonself Mappings  [cached]
Hao Yan,Cho SunYoung,Qin Xiaolong
Fixed Point Theory and Applications , 2010,
Abstract: A one-step iteration with errors is considered for a family of asymptotically nonexpansive nonself mappings. Weak convergence of the purposed iteration is obtained in a Banach space.
Weak and strong convergence of finite family with errors of nonexpansive nonself-mappings  [cached]
S. Plubtieng,K. Ungchittrakool
Fixed Point Theory and Applications , 2006, DOI: 10.1155/fpta/2006/81493
Abstract: We are concerned with the study of a multistep iterative scheme with errors involving a finite family of nonexpansive nonself-mappings. We approximate the common fixed points of a finite family of nonexpansive nonself-mappings by weak and strong convergence of the scheme in a uniformly convex Banach space. Our results extend and improve some recent results, Shahzad (2005) and many others.
Weak and strong convergence of finite family with errors of nonexpansive nonself-mappings  [cached]
Plubtieng S,Ungchittrakool K
Fixed Point Theory and Applications , 2006,
Abstract: We are concerned with the study of a multistep iterative scheme with errors involving a finite family of nonexpansive nonself-mappings. We approximate the common fixed points of a finite family of nonexpansive nonself-mappings by weak and strong convergence of the scheme in a uniformly convex Banach space. Our results extend and improve some recent results, Shahzad (2005) and many others.
Strong Convergence Theorems of Modified Ishikawa Iterations for Countable Hemi-Relatively Nonexpansive Mappings in a Banach Space  [cached]
Petrot Narin,Wattanawitoon Kriengsak,Kumam Poom
Fixed Point Theory and Applications , 2009,
Abstract: We prove some strong convergence theorems for fixed points of modified Ishikawa and Halpern iterative processes for a countable family of hemi-relatively nonexpansive mappings in a uniformly convex and uniformly smooth Banach space by using the hybrid projection methods. Moreover, we also apply our results to a class of relatively nonexpansive mappings, and hence, we immediately obtain the results announced by Qin and Su's result (2007), Nilsrakoo and Saejung's result (2008), Su et al.'s result (2008), and some known corresponding results in the literatures.
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