Results 81 to 90 of about 604,834 (284)

On Set Correspondences into Uniformly Convex Banach Spaces [PDF]

Proceedings of the American Mathematical Society, 1972
It is proved that the values of a set-valued set function, the total variation of which is an atomless finite measure, are conditionally convex. Let E be a nonempty o-field of subsets of a set S. A (set) correspondence, say 1, from E to a Banach space X maps, by definition, every element E of E to IF(E), a nonempty subset of X.
openaire   +2 more sources

Embedding uniformly convex spaces into spaces with very few operators [PDF]

Journal of Functional Analysis, 2012
AbstractWe prove that every separable uniformly convex Banach space X embeds into a Banach space Z which has the property that all bounded linear operators on Z are compact perturbations of scalar multiples of the identity. More generally, the result holds for all separable reflexive Banach spaces of Szlenk index ω0.
Argyros, SA, Freeman, D, Haydon, R, Odell, E, Raikoftsalis, T, Schlumprecht, T, Zisimopoulou, D   +6 more
openaire   +2 more sources

Robust Full‐Surface Bonding of Substrate and Electrode for Ultra‐Flexible Sensor Integration

Advanced Materials, EarlyView.
A direct hybrid bonding method that enables both gold and parylene bonding without adhesives is developed. This technique achieves full‐surface direct bonding of electrodes and substrates in flexible electronic connections. The method offers high flexibility, stable mechanical durability, and high‐resolution interconnections, accommodating varying ...
Masahito Takakuwa, Daishi Inoue, Lulu Sun, Michitaka Yamamoto, Shinjiro Umezu, Daisuke Hashizume, Toshihiro Itoh, Kenjiro Fukuda, Takao Someya, Tomoyuki Yokota   +9 more
wiley   +1 more source

On Fixed Point Property under Lipschitz and Uniform Embeddings

Journal of Function Spaces, 2018
We first present a generalization of ω⁎-Gâteaux differentiability theorems of Lipschitz mappings from open sets to those closed convex sets admitting nonsupport points and then show that every nonempty bounded closed convex subset of a Banach space has ...
Jichao Zhang, Lingxin Bao, Lili Su
doaj   +1 more source

Constructive reflexivity of a uniformly convex Banach space [PDF]

Proceedings of the American Mathematical Society, 1988
In this paper we consider a question about reflexivity of a Banach space within the framework of Bishop’s constructive mathematics and we give a partially affirmative answer to the question set by Bishop: "Is every uniformly convex Banach space reflexive?".
openaire   +2 more sources

Revisiting the “Stick‐Slip” Process via Magnetism‐Coupled Flexible Sensors with Bioinspired Ridge Architecture

Advanced Materials, EarlyView.
A sandwich‐like device for stick‐slip perception is developed, featuring a deformable bioinspired ridge layer with capability of lateral deformation and fast recovery. Coupled with magnetized functionality, the morphological transformation is capable to induce periodical electrical pulses which allows to revisit the stick‐slip process when human ...
Dan Fang, Sen Ding, Yuhan Liu, Qian Zhou, Biao Qi, Bing Ji, Bingpu Zhou   +6 more
wiley   +1 more source

Strong Convergence to Common Fixed Points of Countable Relatively Quasi-Nonexpansive Mappings

Fixed Point Theory and Applications, 2008
We prove that a sequence generated by the monotone CQ-method converges strongly to a common fixed point of a countable family of relatively quasi-nonexpansive mappings in a uniformly convex and uniformly smooth Banach space. Our result is applicable to a
Satit Saejung, Weerayuth Nilsrakoo
doaj   +2 more sources

A Body Conformal Ultrasound Receiver for Efficient and Stable Wireless Power Transfer in Deep Percutaneous Charging

Advanced Materials, EarlyView.
Implantable devices rely on batteries that demand surgical replacement, posing risks, and financial burdens. Ultrasound energy transfer (US‐ET) offers a revolutionary wireless alternative but struggles with efficiency. The presented dielectric‐ferroelectric‐boosted US‐TENG (US‐TENGDF‐B) is thin, flexible, and biocompatible that provides high‐efficiency
Iman M. Imani, Hyun Soo Kim, Minhyuk Lee, Seung‐Bum Kim, So‐Min Song, Dong‐Gyu Lee, Joon‐Ha Hwang, Jeyeon Lee, In‐Yong Suh, Sang‐Woo Kim, Jun Chen, Heemin Kang, Donghee Son, Jeong Min Baik, Sunghoon Hur, Hyun‐Cheol Song   +15 more
wiley   +1 more source

A strong convergence theorem for generalized-Φ-strongly monotone maps, with applications

Fixed Point Theory and Applications, 2019
Let X be a uniformly convex and uniformly smooth real Banach space with dual space X∗ $X^{*}$. In this paper, a Mann-type iterative algorithm that approximates the zero of a generalized-Φ-strongly monotone map is constructed. A strong convergence theorem
C. E. Chidume, M. O. Nnakwe, A. Adamu
doaj   +1 more source

Common fixed points for some generalized multivalued nonexpansive mappings in uniformly convex metric spaces

, 2011
Abkar and Eslamian (Nonlinear Anal. TMA, 74, 1835-1840, 2011) prove that if K is a nonempty bounded closed convex subset of a complete CAT(0) space X, t : K → K is a single-valued quasi-nonexpansive mapping and T : K → KC(K) is a multivalued mapping ...
W. Laowang, B. Panyanak
semanticscholar   +1 more source