Results 41 to 50 of about 741 (181)

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 ...
openaire   +2 more sources

Fixed Point Results for Coupled Large Kannan Contraction Using W‐Distance and Its Application to Integral Equations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In the present paper, we employ the notion of w‐distance to prove a large Kannan‐type contraction inequality in metric spaces. The notion of a coupled large Kannan contraction is introduced, and by using the Geraghty‐type control function, we derive fixed point results in metric spaces with and without partial order.
Priyam Chakraborty, Binayak S. Choudhury, Amaresh Kundu, Santosh Kumar, Ljubisa Kocinac   +4 more
wiley   +1 more source

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, Poonam Yadav, Mohammad Sajid, Ji Gao   +3 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.
openaire   +2 more sources

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, Zhongxiang Huang, Shihao Cao, Chung-Cheng Lu   +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
doaj   +1 more source

Radial Nerve Palsy as an Iatrogenic Complication of Shoulder Replacement Surgery With Significant Bone Loss of the Humerus Resembling Gorham–Stout Disease: Case Report and Review of the Literature

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, Vasudeva G. Iyer, Yi Ping Zhang, Christopher B. Shields, Semonti Nandi   +4 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
doaj   +1 more source

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, Yazheng Dang, Kang Liu, Chengming Huang   +3 more
wiley   +1 more source

Convergence of Monotone Generalized $\alpha$-nonexpansive Mappings in Ordered Hyperbolic Metric Spaces [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we discuss SPK iterative algorithm for approximating fixed point of monotone generalized $\alpha$-nonexpansive mapping  in the setting of partially ordered hyperbolic spaces.
Samir Dashputre, Kavita Sakure
doaj   +1 more source