Results 61 to 70 of about 8,017 (187)

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

Convergence theorems for a common fixed point of a finite family of nonself nonexpansive mappings

Fixed Point Theory and Applications, 2005
Let K be a nonempty closed convex subset of a reflexive real Banach space E which has a uniformly Gâteaux differentiable norm. Assume that K is a sunny nonexpansive retract of E with Q as the sunny nonexpansive retraction. Let Ti:K→E, i=1,â€
Naseer Shahzad, Habtu Zegeye, C. E. Chidume   +2 more
doaj   +1 more source

Some fixed-point theorems for a pair of Reich-Suzuki-type nonexpansive mappings in hyperbolic spaces

Topological Algebra and its Applications, 2023
In this article, we prove some fixed-point results for a pair of Reich-Suzuki-type nonexpansive mappings in uniformly convex WW-hyperbolic spaces. We introduce a new iterative scheme and establish its convergence to the fixed points of a pair of Reich ...
Valappil Sreya Valiya, Pulickakunnel Shaini   +1 more
doaj   +1 more source

Approximating fixed points of nonexpansive and generalized nonexpansive mappings [PDF]

International Journal of Mathematics and Mathematical Sciences, 1991
في هذه الورقة، نعتبر رسم الخرائطSمن النموذجS=α0I+α1T+α2T2+...+αKTK، حيثαi≥0.α1>0مع α i=0kαi=1، ونوضح أنه في مساحة بنك محدبة بشكل موحد، تتقارب تكرارات Picard لـ S إلى نقطة ثابتة منTعندما يكونTغير موسع أو معمم غير موسع أو حتى شبه موسع.
Manoranjan Maiti, Biswajyoti Saha
openaire   +3 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

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
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

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

Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces

Fixed Point Theory and Applications, 2005
In 1979, Ishikawa proved a strong convergence theorem for finite families of nonexpansive mappings in general Banach spaces. Motivated by Ishikawa's result, we prove strong convergence theorems for infinite families of nonexpansive mappings.
Tomonari Suzuki
doaj   +2 more sources

A Fixed Point Free Nonexpansive Map [PDF]

Proceedings of the American Mathematical Society, 1981
In this note we give an example of a weakly compact convex subset of L 1 [ 0 , 1 ] {L_1}[0,1] that fails to have the fixed point property for nonexpansive maps. This answers a long-standing question which was recently raised again by S. Reich [7].
openaire   +2 more sources