Results 11 to 20 of about 757 (180)

On nonexpansive mappings [PDF]

Proceedings of the American Mathematical Society, 1964
holds for all p, qEX (for all p, q with d(p, q)
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Hybrid Algorithm of Fixed Point for Weak Relatively Nonexpansive Multivalued Mappings and Applications

Abstract and Applied Analysis, 2012
The purpose of this paper is to present the notion of weak relatively nonexpansive multi-valued mapping and to prove the strong convergence theorems of fixed point for weak relatively nonexpansive multivalued mappings in Banach spaces.
Jingling Zhang, Yongfu Su, Qingqing Cheng   +2 more
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Convergence of Panigrahy iteration process for Suzuki generalized nonexpansive mapping in uniformly convex Banach space [PDF]

Journal of Hyperstructures
In this paper, we establish strong and weak convergence theorems for Suzuki's generalized nonexpansive mapping in uniformly convex Banach spaces using the iterative scheme introduced by Panigrahy et al [9]. Next, we see an example of Suzuki's generalized
Omprash Sahu, Amitabh Banerjee
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On nonexpansive mappings [PDF]

Proceedings of the American Mathematical Society, 1976
A generalized Hilbert space property is used to analyze nonexpansive mappings in certain settings. In particular it is shown that in l 1
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On the Weak Relatively Nonexpansive Mappings in Banach Spaces

Fixed Point Theory and Applications, 2010
In recent years, the definition of weak relatively nonexpansive mapping has been presented and studied by many authors. In this paper, we give some results about weak relatively nonexpansive mappings and give two examples which are weak relatively ...
Yongfu Su, Yongchun Xu
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Hybrid Algorithm for Common Fixed Points of Uniformly Closed Countable Families of Hemirelatively Nonexpansive Mappings and Applications

Journal of Applied Mathematics, 2012
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 ...
Sumei Ai, Yongfu Su
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Convergence Theorems for a Maximal Monotone Operator and a 𝑉-Strongly Nonexpansive Mapping in a Banach Space

Abstract and Applied Analysis, 2010
Let E be a smooth Banach space with a norm ‖⋅‖. Let 𝑉(𝑥,𝑦)=‖𝑥‖2+‖𝑦‖2−2⟨𝑥,𝐽𝑦⟩ for any 𝑥,𝑦∈𝐸, where ⟨⋅,⋅⟩ stands for the duality pair and J is the normalized duality mapping.
Hiroko Manaka
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Strong Convergence Theorems for Nonexpansive Mapping [PDF]

Journal of Systems Science and Complexity, 2007
Let \(C\) be a closed convex subset of a uniformly smooth Banach space \(E\) and \(T\) a nonexpansive selfmap of \(C\) with \(F(T) \neq \emptyset\). Given a point \(u \in C\) and an initial guess \(x_0 \in C\), the author proves the strong convergence of the iteration scheme defined by \(z_n = \gamma_nx_n + (1 - \gamma_n)Tx_n\), \(y_n = \beta_nx_n + (1
Yongfu Su, Xiaolong Qin
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Comments on the cosmic convergence of nonexpansive maps [PDF]

Journal of Fixed Point Theory and Applications, 2021
AbstractThis note discusses some aspects of the asymptotic behaviour of nonexpansive maps. Using metric functionals, we make a connection to the invariant subspace problem and prove a new result for nonexpansive maps of $$\ell ^{1}$$ ℓ 1 .
Gutiérrez, Armando W., Karlsson, Anders
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Iterated nonexpansive mappings [PDF]

Journal of Fixed Point Theory and Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tomás Domínguez Benavides, Enrique Llorens-Fuster   +1 more
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