Results 91 to 100 of about 31,974 (245)

Chebyshev centers that are not farthest points

, 2016
In this paper we address the question whether in a given Banach space, a Chebyshev center of a nonempty bounded subset can be a farthest point of the set. Our exploration reveals that the answer depends on the convexity properties of the Banach space. We
Kadets, Vladimir, Paul, Kallol, Ray, Anubhab, Sain, Debmalya   +3 more
core  

Weak solutions for a singular beam equation

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 12, December 2025.
Abstract This paper deals with a dynamic Gao beam of infinite length subjected to a moving concentrated Dirac mass. Under appropriate regularity assumptions on the initial data, the problem possesses a weak solution which is obtained as the limit of a sequence of solutions of regularized problems.
Olena Atlasiuk, Arnaud Heibig, Adrien Petrov   +2 more
wiley   +1 more source

Weak Convergence of the Projection Type Ishikawa Iteration Scheme for Two Asymptotically Nonexpansive Nonself-Mappings

Abstract and Applied Analysis, 2011
We study weak convergence of the projection type Ishikawa iteration scheme for two asymptotically nonexpansive nonself-mappings in a real uniformly convex Banach space E which has a Fréchet differentiable norm or its dual E* has the Kadec-Klee property ...
Tanakit Thianwan
doaj   +1 more source

A spatiotemporal prediction method for the evolution of pavement distress in road networks

Computer-Aided Civil and Infrastructure Engineering, Volume 40, Issue 31, Page 6513-6532, 29 December 2025.
Abstract Existing pavement performance prediction models often struggle to capture complex spatiotemporal dependencies in road networks due to reliance on empirical rules and scenario‐based calibration. This study proposes pavement graph network (PaveGNet), a spatiotemporal graph network framework designed to model fine‐grained pavement distress ...
Ning Pan, Yuchuan Du, Ajith Kumar Parlikad   +2 more
wiley   +1 more source

Strong Convergence to a Solution of a Variational Inequality Problem in Banach Spaces

Journal of Applied Mathematics, 2014
We consider the variational inequality problem for a family of operators of a nonempty closed convex subset of a 2-uniformly convex Banach space with a uniformly Gâteaux differentiable norm, into its dual space.
Yasunori Kimura, Kazuhide Nakajo
doaj   +1 more source

k-β and k-nearly uniformly convex Banach spaces

Journal of Mathematical Analysis and Applications, 1991
Some new geometrical uniform properties of a Banach space are introduced. The exact relationships with the old ones (such as uniform rotundity, near uniform convexity, etc.) are also discussed.
openaire   +1 more source

Euclidean algorithms are Gaussian over imaginary quadratic fields

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We prove that the distribution of the number of steps of the Euclidean algorithm of rationals in imaginary quadratic fields with denominators bounded by N$N$ is asymptotically Gaussian as N$N$ goes to infinity, extending a result by Baladi and Vallée for the real case.
Dohyeong Kim, Jungwon Lee, Seonhee Lim
wiley   +1 more source

A new modified mixed-type Ishikawa iteration scheme with error for common fixed points of enriched strictly pseudocontractive self mappings and ΦΓ-enriched Lipschitzian self mappings in uniformly convex Banach spaces

Applied General Topology
Let E be a uniformly convex Banach space and C a nonempty closed bounded convex subset of E. Let  Γ : C ⟶ C and G : C ⟶ C be enriched strictly pseudocontractive mapping and  Φ Γ -enriched Lipschitzian mapping respectively.
Imo Kalu Agwu, Naeem Saleem, Umar Isthiaq   +2 more
doaj   +1 more source

Weak convergence theorem for Passty type asymptotically nonexpansive mappings

International Journal of Mathematics and Mathematical Sciences, 1999
In this paper, we prove a convergence theorem for Passty type asymptotically nonexpansive mappings in a uniformly convex Banach space with Fréchet-differentiable norm.
B. K. Sharma, B. S. Thakur, Y. J. Cho
doaj   +1 more source

Convergence theorems of subgradient extragradient algorithm for solving variational inequalities and a convex feasibility problem

Fixed Point Theory and Applications, 2018
Let C be a nonempty closed and convex subset of a uniformly smooth and 2-uniformly convex real Banach space E with dual space E∗ $E^{*}$. In this paper, a Krasnoselskii-type subgradient extragradient iterative algorithm is constructed and used to ...
C. E. Chidume, M. O. Nnakwe
doaj   +1 more source