Results 31 to 40 of about 177,533 (329)
Uniformly Convex Metric Spaces
Analysis and Geometry in Metric Spaces, 2014 Abstract In this paper the theory of uniformly convex metric spaces is developed. These spaces exhibit ageneralized convexity of the metric from a fixed point. Using a (nearly) uniform convexity property a simpleproof of reflexivity is presented and a weak topology of such spaces is analyzed.
openaire +4 more sources
p-Uniform Convexity and q-Uniform Smoothness of Absolute Normalized Norms on ℂ2
Abstract and Applied Analysis, 2014 We first prove characterizations of p-uniform convexity and q-uniform smoothness. We next give a formulation on absolute normalized norms on ℂ2. Using these, we present some examples of Banach spaces.
Tomonari Suzuki
doaj +1 more source
Abstract and Applied Analysis, 2013 We introduce Mann-type viscosity approximation methods for finding solutions of a multivalued variational inclusion (MVVI) which are also common ones of finitely many variational inequality problems and common fixed points of a countable family of ...
Lu-Chuan Ceng +2 more
doaj +1 more source
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
Computational Problems in Metric Fixed Point Theory and their Weihrauch Degrees
, 2015 We study the computational difficulty of the problem of finding fixed points of nonexpansive mappings in uniformly convex Banach spaces. We show that the fixed point sets of computable nonexpansive self-maps of a nonempty, computably weakly closed ...
Neumann, Eike
core +1 more source
International Journal of Adaptive Control and Signal Processing, EarlyView.This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
wiley +1 more source
Journal of Applied Mathematics, 2013 Two countable families of hemirelatively nonexpansive mappings are considered based on a hybrid projection algorithm. Strong convergence theorems of iterative sequences are obtained in an uniformly convex and uniformly smooth Banach space.
Zi-Ming Wang, Poom Kumam
doaj +1 more source
Optimal approximate fixed point results in locally convex spaces
, 2012 Let $C$ be a convex subset of a locally convex space. We provide optimal approximate fixed point results for sequentially continuous maps $f\colon C\to\bar{C}$. First we prove that if $f(C)$ is totally bounded, then it has an approximate fixed point net.
Arino +19 more
core +1 more source
Advanced Engineering Materials, EarlyView.This study investigates laser shock peening for enhancing fatigue performance of riveted aerospace aluminum joints. A comparative approach with cold expansion combines fatigue testing and synchrotron X‐ray methods. Integrating mechanical testing with residual stress and strain characterization provides insights into how different treatments affect the ...
Ogün Baris Tapar +6 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