Results 41 to 50 of about 1,145 (179)
Convergence Behavior of the F∗ Algorithm: Strong and Weak Results for Nonexpansive Mappings
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study examines the strong and weak convergence of the F∗ iterative approach to the fixed point of a nonexpansive mapping in the context of a Banach space. This work shows improved rate and efficiency of convergence. Furthermore, we proved that F∗ iterative algorithm converges to a fixed point faster than Picard, Mann, S, and Varat iterative ...
Anju Panwar +3 more
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Nonexpansive Mappings in Locally Convex Spaces [PDF]
Canadian Mathematical Bulletin, 1977 Recently Bruck initiated the study of the structure of the fixed-point set of a nonexpansive selfmap T of a Banach space, where T satisfies a conditional fixed point property. We generalize many of his results to a Hausdorff locally convex space X. Also, we generalize a result of Holmes and Narayanaswami and use it, along with a procedure of Kiang, to ...
Hicks, Troy L., Kubicek, John D.
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Efficient Algorithm for the Nonadditive Traffic Assignment Problem With Link Capacity Constraints
Journal of Advanced Transportation, Volume 2025, Issue 1, 2025.This paper presents an insightful examination of the modeling and efficient solution algorithm for the link capacitated nonadditive traffic assignment problem (CNaTAP) to provide highly accurate flow solutions for large‐scale networks. Despite the increasing significance of the CNaTAP, the ability to efficiently solve it for satisfactory accuracy in ...
Wangxin Hu +3 more
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A New Iteration Method for Nonexpansive Mappings and Monotone Mappings in Hilbert Spaces
Journal of Inequalities and Applications, 2010 We introduce a new composite iterative scheme by the viscosity approximation method for nonexpansive mappings and monotone mappings in a Hilbert space. It is proved that the sequence generated by the iterative scheme converges strongly to a common point ...
Jong Soo Jung
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Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach Spaces
Advances in Mathematical Physics, 2020 It is well known that nonexpansive mappings do not always have fixed points for bounded sets in Banach space. The purpose of this paper is to establish fixed point theorems of nonexpansive mappings for bounded sets in Banach spaces.
Xianbing Wu
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Case Reports in Neurological Medicine, Volume 2025, Issue 1, 2025.Gorham–Stout disease (GSD), also known as vanishing bone disease or massive osteolysis, is a rare entity characterized by destruction of the osseous matrix and proliferation of vascular structures resulting in bone resorption. While neurological complications such as cerebrospinal rhinorrhea secondary to cranial involvement and paraplegia from spinal ...
Lisa B. E. Shields +4 more
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A New Iterative Scheme of Modified Mann Iteration in Banach Space
Abstract and Applied Analysis, 2014 We introduce the modified iterations of Mann's type for nonexpansive mappings and asymptotically nonexpansive mappings to have the strong convergence in a uniformly convex Banach space.
Jinzuo Chen, Dingping Wu, Caifen Zhang
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Inertial CQ Algorithm With Correction Terms for Split Feasibility Problems With Multiple Output Sets
Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.We propose a new CQ algorithm which combines the inertial technique and correction terms for solving the split feasibility problem with multiple output sets in Hilbert spaces. Under suitable conditions, we prove the weak convergence. Moreover, we demonstrate the linear convergence when the split feasibility problem with multiple output sets satisfies ...
Yang Liu +3 more
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Open Mathematics, 2023 In this article, we prove ergodic convergence for a sequence of nonexpansive mappings in Hadamard (complete CAT(0){\rm{CAT}}\left(0)) spaces. Our result extends the nonlinear ergodic theorem by Baillon for nonexpansive mappings from Hilbert spaces to ...
Termkaew Sakan +2 more
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.In this paper, we study the following second order scalar differential inclusion: bzxΦz′x′∈Azx+Gx,zx,z′x a.e on Λ=0,α under nonlinear general boundary conditions incorporating a large number of boundary problems including Dirichlet, Neumann, Neumann–Steklov, Sturm–Liouville, and periodic problems.
Droh Arsène Béhi +3 more
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