نتایج جستجو برای: weak and strong convergence theorems

تعداد نتایج: 16896022  

2016
Makbule Kaplan

In this paper, motivated by Khan et. al.[11], we use three-step iterative procedures with errors to approximate fixed point of multivalued quasinonexpansive mappings in uniformly Banach space and establish strong and weak convergence theorems for the proposed process. Our results extend important results. Mathematics Subject Classification: Primary 47H10; Secondary 47J25

2011
Sezgin Akbulut Safeer Hussain Khan Murat Özdemir

In this paper, we introduce an iteration process for approximating common fixed points of two nonself asymptotically nonexpansive mappings in Banach spaces. Our process contains Mann iteration process and some other processes for nonself mappings but is independent of Ishikawa iteration process. We prove some weak and strong convergence theorems for this iteration process. Our results generaliz...

2006
Feng Gu Zhenhua He

In this paper, we study a multi-step iterative scheme with errors involving N nonexpansive mappings in the Banach space. Some weak and strong convergence theorems for approximation of common fixed points of nonexpansive mappings are proved using this iteration scheme. The results extend and improve the corresponding results of [1].

Journal: :Applied Mathematics and Computation 2006
Jae Ug Jeong Soo Hwan Kim

In this paper, we prove the weak and strong convergence of the Ishikawa iterative scheme with errors to a common fixed point for two asymptotically nonexpansive mappings in a uniformly convex Banach space under a condition weaker than compactness. Our theorems improve and generalize recent known results in literature.

2011
Safeer Hussain Khan

In this paper, we introduce an iterative process for approximating common fixed points of two finite families of nonexpansive mappings in Banach spaces. Our process contains some iterative processes being used for the purpose. We prove some weak and strong convergence theorems for this iterative process. Our results generalize and improve some results in contemporary literature.

2015
Liping Yang

In this paper, an implicit iterative process is considered for strongly continuous semigroup of Lipschitz pseudocontraction mappings. Weak and strong convergence theorems for common fixed points of strongly continuous semigroup of Lipschitz pseudocontraction mappings are established in a real Banach space. c ©2016 All rights reserved.

Journal: :Int. J. Comput. Math. 2012
Aunyarat Bunyawat Suthep Suantai

In this paper, we introduce a one-step iterative scheme for finding a common fixed point of a finite family of multivalued quasi-nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems of the proposed iterative scheme under some appropriate conditions.

2013
A. BUNYAWAT

In this paper, we introduce a one-step iterative scheme for finding a common fixed point of a finite family of multivalued quasi-nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems of the proposed iterative scheme under some appropriate conditions.

2010
Shih-sen Chang Jong Kyu Kim H. W. Joseph Lee Chi Kin Chan Yeol J. E. Cho

The purpose of this paper is to study the weak and strong convergence theorems of the implicit iteration process for a countable family of Lipschitzian pseudocontraction mappings in Banach spaces. The results presented in this paper extend and improve some recent results announced by some authors.

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