Results 61 to 70 of about 757 (180)

A New Fixed‐Point Framework for Nonexpansive and Averaged Mappings in Normed GE‐Algebras

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we develop a systematic framework for studying fixed‐point theory in the setting of normed GE‐algebras. Building on the GE‐norm, we introduce and analyze nonexpansive mappings, α‐averaged mappings, and enriched contractions with respect to the quasimetric induced by the GE‐norm.
Prashant Patel, Ravikumar Bandaru, Amal S. Alali, Erhan Güler   +3 more
wiley   +1 more source

Generalized Enriched Contractions of Boyd–Wong and Geraghty Type in Banach Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper examines generalized enriched contractions of the Boyd–Wong and Geraghty types within Banach spaces, expanding the classical concept of enriched operators. We establish the existence and uniqueness of fixed points for these contractions and analyze the convergence of Mann‐type iterative schemes specifically designed for these mappings.
Rekha Panicker, Rahul Shukla, Xian-Ming Gu   +2 more
wiley   +1 more source

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

Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
In this paper, we first prove a path convergence theorem for a nonexpansive mapping in a reflexive and strictly convex Banach space which has a uniformly Gˆateaux differentiable norm and admits the duality mapping jφ, where φ is a gauge function on [0,∞).
Cholamjiak Prasit, Je Cho Yeol, Suantai Suthep   +2 more
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

Strong Convergence Theorems for a Countable Family of Nonexpansive Mappings in Convex Metric Spaces

Abstract and Applied Analysis, 2011
We introduce a new modified Halpern iteration for a countable infinite family of nonexpansive mappings {Tn} in convex metric spaces. We prove that the sequence {xn} generated by the proposed iteration is an approximating fixed point sequence of a ...
Withun Phuengrattana, Suthep Suantai
doaj   +1 more source

On firmly nonexpansive mappings [PDF]

Proceedings of the American Mathematical Society, 1991
The author proves the following. Let X be a uniformly convex Banach space, \(C=C_ 1\cup C_ 2\cup...\cup C_ n\) a union of nonempty, bounded, closed and convex subsets of X, and T: \(C\to C\) a mapping such that \[ \| Tx-Ty\| \leq \| (1-\lambda)(x-y)+\lambda (Tx-Ty)\| \quad (x,y\in C), \] for some \(\lambda\in (0,1)\). Then T has a fixed point in C.
openaire   +2 more sources

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

On extremal nonexpansive mappings

Zeitschrift für Analysis und ihre Anwendungen
We study the extremality of nonexpansive mappings on a non-empty bounded, closed, and convex subset of a normed space (therein specific Banach spaces). We show that surjective isometries are extremal in this sense for many Banach spaces, including Banach spaces with the Radon–Nikodym property and all
Christian Bargetz, Michael Dymond, Katriin Pirk   +2 more
openaire   +3 more sources

Nonlinear Second Order Scalar Differential Inclusion Involving a Singular Φ−Laplacian Operator, With Nonlinear General Boundary Conditions

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, Assohoun Adjé, Konan Charles Etienne Goli, Patricia J. Y. Wong   +3 more
wiley   +1 more source