Results 111 to 120 of about 780,260 (354)
Coarse embedding into uniformly convex Banach spaces
14 ...
openaire +3 more sources
Existence ofixed points for pointwise eventually asymptotically nonexpansive mappings
Kirk introduced the notion of pointwise eventually asymptotically non-expansive mappings and proved that uniformly convex Banach spaces have the fixed point property for pointwise eventually asymptotically non expansive maps.
M. Radhakrishnan, S. Rajesh
doaj +1 more source
Mechanochromic hydroxypropyl cellulose (HPC) integrated with microfluidic devices creates scalable, eco‐friendly reflective color displays. We demonstrate mechanochromic displays with 500 µm pixel size and 5Hz switching rates with room for optimisation. The proposed mechanochromic HPC displays are an initial step toward more environmentally responsible
Charles H. Barty‐King+4 more
wiley +1 more source
Nonexpansive iterations in uniformly convex $W$-hyperbolic spaces [PDF]
We propose the class of uniformly convex $W$-hyperbolic spaces with monotone modulus of uniform convexity ($UCW$-hyperbolic spaces for short) as an appropriate setting for the study of nonexpansive iterations. $UCW$-hyperbolic spaces are a natural generalization both of uniformly convex normed spaces and CAT(0)-spaces.
arxiv
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
Next‐Generation Image Sensors Based on Low‐Dimensional Semiconductor Materials
Low‐dimensional semiconductor materials are promising candidates for photosensitive components in next‐generation image sensors. This review offers a thorough and timely examination of novel image sensors, covering their working principles, intriguing materials categorized into four main groups, and advanced imaging applications.
Yunxia Hu+3 more
wiley +1 more source
Simultaneously continuous retraction and Bishop-Phelps-Bollob\'as type theorem [PDF]
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
Local Analysis of Inverse Problems: H\"{o}lder Stability and Iterative Reconstruction
We consider a class of inverse problems defined by a nonlinear map from parameter or model functions to the data. We assume that solutions exist. The space of model functions is a Banach space which is smooth and uniformly convex; however, the data space
Ammari H+12 more
core +1 more source
The Daugavet equation in uniformly convex Banach spaces
AbstractIt is shown that a continuous operator T: X → X on a uniformly convex Banach space satisfies the Daugavet equation ∥I + T∥ = 1 + ∥T∥ if and only if the norm ∥T∥ of the operator lies in the spectrum of T. Specializing this result to compact operators, we see that a compact operator on a uniformly convex Banach space satisfies the Daugavet ...
Charalambos D. Aliprantis+2 more
openaire +2 more sources
Uniformly holomorphic continuation in locally convex spaces
AbstractWe investigate the simultaneous uniformly holomorphic continuation of the uniformly holomorphic functions defined in a domain spread of uniform type, (X, ϑ), over a locally convex Hausdorff space E. We construct the envelope of uniform holomorphy of (X, ϑ) with an analogous method of the results of M. Schottenloher (Portugal. Math.
M.Carmelina F Zaine, Otilia W. Paques
openaire +2 more sources