Results 61 to 70 of about 177,533 (329)

A Generalization of Uniformly Extremely Convex Banach Spaces [PDF]

open access: yesJournal of Function Spaces, 2016
We discuss a new class of Banach spaces which are the generalization of uniformly extremely convex spaces introduced by Wulede and Ha. We prove that the new class of Banach spaces lies strictly between either the classes ofk-uniformly rotund spaces andk-strongly convex spaces or classes of fullyk-convex spaces andk-strongly convex spaces and has no ...
Suyalatu Wulede   +2 more
openaire   +2 more sources

Manifolds of semi-negative curvature

open access: yes, 2008
The notion of nonpositive curvature in Alexandrov's sense is extended to include p-uniformly convex Banach spaces. Infinite dimensional manifolds of semi-negative curvature with a p-uniformly convex tangent norm fall in this class on nonpositively curved
Conde, Cristian, Larotonda, Gabriel
core   +2 more sources

Spatiotemporal Plasma–Mediated Laser Fabrication of Ultrahigh‐Aspect‐Ratio Nanochannel Arrays for Vertical Perovskite Nanowire Semiconductor Devices

open access: yesAdvanced Functional Materials, EarlyView.
A spatiotemporal plasma–mediated laser processing approach is developed to fabricate ultrahigh–aspect ratio nanochannel arrays and corresponding perovskite nanowire arrays within transparent materials for optoelectronics devices. The laser‐fabricated nanochannels serve as templates for controlled perovskite infiltration and crystallization, enabling ...
Taijin Wang   +3 more
wiley   +1 more source

Convergence Theorems for Maximal Monotone Operators, Weak Relatively Nonexpansive Mappings and Equilibrium Problems

open access: yesJournal of Applied Mathematics, 2012
We introduce hybrid-iterative schemes for solving a system of the zero-finding problems of maximal monotone operators, the equilibrium problem, and the fixed point problem of weak relatively nonexpansive mappings. We then prove, in a uniformly smooth and
Kamonrat Nammanee   +2 more
doaj   +1 more source

Simultaneously continuous retraction and Bishop-Phelps-Bollob\'as type theorem [PDF]

open access: yes, 2014
We study the existence of a retraction from the dual space $X^*$ of a (real or complex) Banach space $X$ onto its unit ball $B_{X^*}$ which is uniformly continuous in norm topology and continuous in weak-$*$ topology.
Han Ju Lee, Kim, Or X, Sun Kwang
core  

Viscoelasticity‐Induced Controllable Periodic Meso‐Textures of Liquid Crystal Polymers in Additive Manufacturing

open access: yesAdvanced Functional Materials, EarlyView.
Viscoelasticity‐driven instabilities are harnessed to create tunable, periodic textures in 3D‐printed liquid crystalline polymers. This study illustrates how processing parameters control these spontaneous meso‐scale patterns. These unique structural architectures unlock new possibilities for functional devices, ranging from photonic components to ...
Miaomiao Zou   +17 more
wiley   +1 more source

Fixed point iteration for asymptotically quasi-nonexpansive mappings in Banach spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
Suppose that C is a nonempty closed convex subset of a real uniformly convex Banach space X. Let T:C→C be an asymptotically quasi-nonexpansive mapping. In this paper, we introduce the three-step iterative scheme for such map with error members. Moreover,
Somyot Plubtieng, Rabian Wangkeeree
doaj   +1 more source

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

open access: yesAbstract 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

Superrigidity, Generalized Harmonic Maps and Uniformly Convex Spaces [PDF]

open access: yesGeometric and Functional Analysis, 2007
22 pages Final version to appear in ...
Gelander, T.   +2 more
openaire   +2 more sources

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