Results 71 to 80 of about 780,260 (354)

A fixed point theorem for multivalued nonexpansive mappings in a uniformly convex Banach space

open access: yes, 1974
where H(A, B) denotes the Hausdorff distance between A and B. A point x e C is called a fixed point of T if x e Tx. Fixed point theorems for such mappings T have been established by Mar kin [11] for Hubert spaces, by Browder [2] for spaces having weakly ...
Teck-Cheong Lim
semanticscholar   +1 more source

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

open access: yesJournal 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

Effect of Thermomechanical Processing on the Impact Deformation of Additively Manufactured 316L Stainless Steel

open access: yesAdvanced Engineering Materials, EarlyView.
Previous studies on additive manufacturing primarily focus on the mechanical properties of as‐printed components. In the present work, researchers explore the potential of employing novel thermomechanical postprocessing techniques to improve the microstructure after printing.
Radim Kocich   +3 more
wiley   +1 more source

On the probabilistic continuous complexity conjecture [PDF]

open access: yes, 2012
In this paper we prove the probabilistic continuous complexity conjecture. In continuous complexity theory, this states that the complexity of solving a continuous problem with probability approaching 1 converges (in this limit) to the complexity of ...
Kon, Mark A.
core  

Computational Problems in Metric Fixed Point Theory and their Weihrauch Degrees

open access: yes, 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

Scalable Fabrication of Height‐Variable Microstructures with a Revised Wetting Model

open access: yesAdvanced Engineering Materials, EarlyView.
Height‐variable microstructures are fabricated using a scalable CO2 laser machining approach, enabling precise control of wettability through structural gradients. Classical wetting models fail to capture height‐induced effects, necessitating a revised theoretical framework.
Prabuddha De Saram   +2 more
wiley   +1 more source

Fixed Point Theorem for Monotone Non-Expansive Mappings

open access: yesInternational Journal of Analysis and Applications, 2021
In this paper, we study the fixed point theorem for monotone nonexpansive mappings in the setting of a uniformly smooth and uniformly convex smooth Banach space.
Joseph Frank Gordon
doaj  

Scalable Manufacturing of Radiation‐Tolerant Potentiometric Electrodes: A Systematic Transition from Laboratory to Semiautomated Fabrication

open access: yesAdvanced Engineering Materials, EarlyView.
Laboratory protocols for producing thin‐film pH electrodes for sterilized single‐use technologies have been successfully developed into a semiautomated workflow, with higher throughput and precision of membrane thickness. Accuracies are within 0.05 pH units versus ground truth, and uncertainty analysis reveals the largest sources of error to be derived
Bingyuan Zhao   +4 more
wiley   +1 more source

Optimal approximate fixed point results in locally convex spaces

open access: yes, 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

A Bound for the Modulus of Continuity for Metric Projections in a Uniformly Convex and Uniformly Smooth Banach Space

open access: yes, 1996
In 1979, Bjornestal obtained a local estimate for a modulus of uniform continuity of the metric projection operator on a closed subspace in a uniformly convex and uniformly smooth Banach spaceB.
Y. Alber
semanticscholar   +1 more source

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