Results 81 to 90 of about 31,974 (245)

Directional Differentiability of the Metric Projection in Uniformly Convex and Uniformly Smooth Banach Spaces [PDF]

, 2023
Jinlu Li
openalex   +1 more source

Random Gel′fand Approximation Between Anisotropic Spaces and Function Spaces With Mixed Smoothness

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper investigates the complexity associated with function approximation between anisotropic spaces and spaces of mixed smoothness within the framework of adaptive Monte Carlo methods. Specifically, we analyze the information complexity for approximating function classes of mixed smoothness Fmix,pr(1 ≤ p < ∞) in anisotropic spaces FqR(1 ≤ q ...
Bo Feng, Jiayi Qiu, Guanggui Chen, Yanyan Xu, Emanuel Guariglia   +4 more
wiley   +1 more source

Best proximity pair theorems for relatively nonexpansive mappings

Applied General Topology, 2009
Let A, B be nonempty closed bounded convex subsets of a uniformly convex Banach space and T : A∪B → A∪B be a map such that T(A) ⊆ B, T(B) ⊆ A and ǁTx − Tyǁ ≤ ǁx − yǁ, for x in A and y in B. The fixed point equation Tx = x does not possess a solution when
V. Sankar Raj, P. Veeramani
doaj   +1 more source

Browder’s Convergence Theorem for Multivalued Mappings in Banach Spaces without the Endpoint Condition

Abstract and Applied Analysis, 2020
We prove Browder’s convergence theorem for multivalued mappings in a uniformly convex Banach space with a uniformly Gâteaux differentiable norm by using the notion of diametrically regular mappings.
Thanomsak Laokul
doaj   +1 more source

An iterative approximation of common solutions of split generalized vector mixed equilibrium problem and some certain optimization problems

Demonstratio Mathematica, 2021
In this paper, we study the problem of finding a common solution of split generalized vector mixed equlibrium problem (SGVMEP), fixed point problem (FPP) and variational inequality problem (VIP).
Mewomo Oluwatosin T., Oyewole Olawale K.
doaj   +1 more source

Existence and nonexistence of hypercyclic semigroups [PDF]

, 2007
In these notes we provide a new proof of the existence of a hypercyclic uniformly continuous semigroup of operators on any separable infinitedimensional Banach space that is very different from –and considerably shorter than– the one recently given by ...
Bernal González, Luis, Grosse-Erdmann, Karl-Goswin   +1 more
core  

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

Best proximity point for weak cyclic Kannan type $F-$contraction map and cyclic Chatterjea type $F-$contraction map

Ratio Mathematica
In this paper, we introduce an innovative category of contractions termed "cyclic Chatterjea type $F-$contraction" and "weak cyclic Kannan type $F-$contraction." Subsequently, we establish a theorem for determining the best proximity point in a uniformly
Satyaj Tiwari, Monika Dewangan
doaj   +1 more source

On the principle of linearized stability for quasilinear evolution equations in time‐weighted spaces

Mathematische Nachrichten, Volume 298, Issue 12, Page 3939-3959, December 2025.
Abstract Quasilinear (and semilinear) parabolic problems of the form v′=A(v)v+f(v)$v^{\prime }=A(v)v+f(v)$ with strict inclusion dom(f)⊊dom(A)$\mathrm{dom}(f)\subsetneq \mathrm{dom}(A)$ of the domains of the function v↦f(v)$v\mapsto f(v)$ and the quasilinear part v↦A(v)$v\mapsto A(v)$ are considered in the framework of time‐weighted function spaces ...
Bogdan‐Vasile Matioc, Lina Sophie Schmitz, Christoph Walker   +2 more
wiley   +1 more source

A New Iterative Scheme of Modified Mann Iteration in Banach Space

Abstract and Applied Analysis, 2014
We introduce the modified iterations of Mann's type for nonexpansive mappings and asymptotically nonexpansive mappings to have the strong convergence in a uniformly convex Banach space.
Jinzuo Chen, Dingping Wu, Caifen Zhang
doaj   +1 more source