Results 91 to 100 of about 780,260 (354)
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
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
Omnidirectional Transmissive Acoustic Metasurfaces Based on Goldberg Polyhedra
This study introduces omnidirectional acoustic metasurfaces capable of manipulating wavefronts in multiple arbitrary directions simultaneously. A full‐stack pipeline for design, optimization, and fabrication is presented to construct near‐spherical holograms based on Goldberg polyhedra.
Andrea Achilleos+3 more
wiley +1 more source
Compression functions of uniform embeddings of groups into Hilbert and Banach spaces [PDF]
We construct finitely generated groups with arbitrary prescribed Hilbert space compression α ∈ [0, 1]. This answers a question of E. Guentner and G. Niblo.
Arzhantseva, Goulnara+2 more
core
Fixed point iteration for asymptotically quasi-nonexpansive mappings in Banach spaces
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
Chemo‐Mechanical Coupling in Hydrogels: Dynamics in the Diffusion‐Limited Regime
A time‐dependent continuum model is developed to capture the transient swelling dynamics of chemo‐mechanical hydrogels. By coupling chemical reactions, solvent transport, and polymer deformation, volume phase transitions, reaction kinetics, and transient mechanical instabilities are analyzed.
Yao Xiong+2 more
wiley +1 more source
Strong Convergence to Common Fixed Points of Countable Relatively Quasi-Nonexpansive Mappings
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
On Fixed Point Property under Lipschitz and Uniform Embeddings
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
A scalable method for direct laser patterning of 2D films on transparent substrates like polycarbonate and glass is presented. This technique eliminates the need for photolithography and solvents, enabling the fabrication of functional devices like strain gauges, supercapacitors, and photodetector arrays.
Yigit Sozen+3 more
wiley +1 more source
An existence theorem for a fixed point of an α-nonexpansive mapping of a nonempty bounded, closed and convex subset of a uniformly convex Banach space has been recently established by Aoyama and Kohsaka with a non-constructive argument. In this paper, we
E. Naraghirad, N. Wong, Jen-Chih Yao
semanticscholar +1 more source