Results 91 to 100 of about 3,848 (206)

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

Some new fixed point theorems of α-partially nonexpansive mappings

Demonstratio Mathematica
In this paper, we introduce a new class of nonlinear mappings and compare it to other classes of nonlinear mappings that have appeared in the literature.
Shukla Rahul
doaj   +1 more source

On Enriched Suzuki Mappings in Hadamard Spaces

Mathematics
We define and study enriched Suzuki mappings in Hadamard spaces. The results obtained here are extending fundamental findings previously established in related research.
Teodor Turcanu, Mihai Postolache
doaj   +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

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

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

Existence of Fixed Points of Firmly Nonexpansive-Like Mappings in Banach Spaces

Fixed Point Theory and Applications, 2010
The aim of this paper is to obtain some existence theorems related to a hybrid projection method and a hybrid shrinking projection method for firmly nonexpansive-like mappings (mappings of type (P)) in a Banach space.
Kohsaka Fumiaki, Aoyama Koji
doaj   +2 more sources

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

Weak and strong convergence theorems of common fixed points for a pair of nonexpansive and asymptotically nonexpansive mappings [PDF]

, 2005
summary:The purpose of this paper is to establish some weak and strong convergence theorems of modified three-step iteration methods with errors with respect to a pair of nonexpansive and asymptotically nonexpansive mappings in uniformly convex Banach ...
Feng, Chi, Kang, Shin Min, Liu, Zeqing, Agarwal, Ravi P.   +3 more
core  

Approximating Fixed Points of Enriched Nonexpansive Mappings in Geodesic Spaces

, 2022
In this paper, we consider the class of enriched nonexpansive mappings in the setting of geodesic spaces. We obtain a number of fixed point theorems for these mappings in geodesic spaces.
Rahul Shukla, Rekha Panicker
core   +1 more source