Results 41 to 50 of about 4,652 (229)
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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On the fixed points of affine nonexpansive mappings
International Journal of Mathematics and Mathematical Sciences, 2001 Let K be a closed convex bounded subset of a Banach space X and let T:K→K be a continuous affine mapping. In this note, we show that (a) if T is nonexpansive then it has a fixed point, (b) if T has only one fixed point then the mapping A=(I+T)/2 is a ...
Hülya Duru
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Multivalued Nonexpansive Mappings and Opial's Condition [PDF]
Proceedings of the American Mathematical Society, 1973 We give relations between a condition introduced by Z. Opial which characterizes weak limits by means of the norm in some Banach spaces and approximations of the identity, in particular for systems of projections. Finally a fixed point theorem for multivalued nonexpansive mappings in a Banach space satisfying this condition is proved; this result ...
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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
wiley +1 more source
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
wiley +1 more source
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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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
wiley +1 more source
Fixed-Point Theorems for Mean Nonexpansive Mappings in Banach Spaces
Abstract and Applied Analysis, 2014 We define a mean nonexpansive mapping T on X in the sense that Tx-Ty≤ax-y+bx-Ty, a,b≥0,a+b≤1. It is proved that mean nonexpansive mapping has approximate fixed-point sequence, and, under some suitable conditions, we get some existence and uniqueness ...
Zhanfei Zuo
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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
wiley +1 more source
Three-Step Fixed Point Iteration for Generalized Multivalued Mapping in Banach Spaces
Journal of Applied Mathematics, 2012 The convergence of three-step fixed point iterative processes for generalized multivalued nonexpansive mapping was considered in this paper. Under some different conditions, the sequences of three-step fixed point iterates strongly or weakly converge to ...
Zhanfei Zuo
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