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Search Results: 1 - 10 of 16251 matches for " Su Yongfu "
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Approximate Iteration Algorithm with Error Estimate for Fixed Point of Nonexpansive Mappings
Yongfu Su
Abstract and Applied Analysis , 2012, DOI: 10.1155/2012/605389
Abstract: The purpose of this article is to present a general viscosity iteration process {} which defined by
On the Weak Relatively Nonexpansive Multivalued Mappings in Banach Spaces
Yongfu Su
Abstract and Applied Analysis , 2012, DOI: 10.1155/2012/730619
Abstract: In recent years, the definition of relatively nonexpansive multivalued mapping and the definition of weak relatively nonexpansive multivalued mapping have been presented and studied by many authors. In this paper, we give some results about weak relatively nonexpansive multivalued mappings and give two examples which are weak relatively nonexpansive multivalued mappings but not relatively nonexpansive multivalued mappings in Banach space 2 and [0,1](1<<
Strong convergence of modified Noor iterations
Yongfu Su,Xiaolong Qin
International Journal of Mathematics and Mathematical Sciences , 2006, DOI: 10.1155/ijmms/2006/21073
Abstract: In this paper, strong convergence theorem is obtained for the modified Noor iterations in the framework of uniformly smooth Banach spaces. Our results extend and improve the recent ones announced by Wittman, Kim, Xu, and some others.
Approximating fixed points of non-self asymptotically nonexpansive mappings in Banach spaces
Yongfu Su,Xiaolong Qin
International Journal of Stochastic Analysis , 2006, DOI: 10.1155/jamsa/2006/21961
Abstract: Suppose K is a nonempty closed convex nonexpansive retract of a real uniformly convex Banach space E with P as a nonexpansive retraction. Let T:K→E be an asymptotically nonexpansive mapping with {kn}⊂[1,∞) such that ∑n=1∞(kn−1)<∞ and F(T) is nonempty, where F(T) denotes the fixed points set of T. Let {αn}, {αn'}, and {αn''} be real sequences in (0,1) and ε≤αn,αn',αn''≤1−ε for all n∈ℕ and some ε>0. Starting from arbitrary x1∈K, define the sequence {xn} by x1∈K, zn=P(αn''T(PT)n−1xn
Hybrid Algorithm for Common Fixed Points of Uniformly Closed Countable Families of Hemirelatively Nonexpansive Mappings and Applications
Sumei Ai,Yongfu Su
Journal of Applied Mathematics , 2012, DOI: 10.1155/2012/401960
Abstract: The authors have obtained the following results: (1) the definition of uniformly closed countable family of nonlinear mappings, (2) strong convergence theorem by the monotone hybrid algorithm for two countable families of hemirelatively nonexpansive mappings in a Banach space with new method of proof, (3) two examples of uniformly closed countable families of nonlinear mappings and applications, (4) an example which is hemirelatively nonexpansive mapping but not weak relatively nonexpansive mapping, and (5) an example which is weak relatively nonexpansive mapping but not relatively nonexpansive mapping. Therefore, the results of this paper improve and extend the results of Plubtieng and Ungchittrakool (2010) and many others.
Strong convergence theorems for asymptotically nonexpansive mappings and asymptotically nonexpansive semigroups
Yongfu Su,Xiaolong Qin
Fixed Point Theory and Applications , 2006, DOI: 10.1155/fpta/2006/96215
Abstract: Strong convergence theorems are obtained from modified Halpern iterative scheme for asymptotically nonexpansive mappings and asymptotically nonexpansive semigroups, respectively. Our results extend and improve the recent ones announced by Nakajo, Takahashi, Kim, Xu, and some others.
Strong Convergence Theorems for Countable Lipschitzian Mappings and Its Applications in Equilibrium and Optimization Problems
Yang Liping,Su Yongfu
Fixed Point Theory and Applications , 2009,
Abstract: The purpose of this paper is to propose a modified hybrid method in mathematical programming and to obtain some strong convergence theorems for common fixed points of a countable family of Lipschitzian mappings. Further, we apply our results to solve the equilibrium and optimization problems. The results of this paper improved and extended the results of W. Nilsrakoo and S. Saejung (2008) and some others in some respects.
Strong Convergence Theorems for Countable Lipschitzian Mappings and Its Applications in Equilibrium and Optimization Problems
Liping Yang,Yongfu Su
Fixed Point Theory and Applications , 2009, DOI: 10.1155/2009/462489
Abstract: The purpose of this paper is to propose a modified hybrid method in mathematical programming and to obtain some strong convergence theorems for common fixed points of a countable family of Lipschitzian mappings. Further, we apply our results to solve the equilibrium and optimization problems. The results of this paper improved and extended the results of W. Nilsrakoo and S. Saejung (2008) and some others in some respects.
Strong convergence theorems for asymptotically nonexpansive mappings and asymptotically nonexpansive semigroups
Su Yongfu,Qin Xiaolong
Fixed Point Theory and Applications , 2006,
Abstract: Strong convergence theorems are obtained from modified Halpern iterative scheme for asymptotically nonexpansive mappings and asymptotically nonexpansive semigroups, respectively. Our results extend and improve the recent ones announced by Nakajo, Takahashi, Kim, Xu, and some others.
Strong Convergence of Modified Implicit Iteration Processes for Common Fixed Points of Nonexpansive Mappings
Fang Zhang,Yongfu Su
Fixed Point Theory and Applications , 2007, DOI: 10.1155/2007/48174
Abstract: Strong convergence theorems are obtained by hybrid method for modified composite implicit iteration process of nonexpansive mappings in Hilbert spaces. The results presented in this paper generalize and improve the corresponding results of Nakajo and Takahashi (2003) and others.
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