Results 71 to 80 of about 604,834 (284)
Introduction Let be a nonempty subset of a normed linear space . A self-mapping is said to be nonexpansive provided that for all . In 1965, Browder showed that every nonexpansive self-mapping defined on a nonempty, bounded, closed and convex subset of
Moosa Gabeleh
doaj
Singular integrals in uniformly convex spaces
We consider the action of finitely truncated singular integral operators on functions taking values in a Banach space. Such operators are bounded for any Banach space, but we show a quantitative improvement over the trivial bound in any space with an equivalent uniformly convex norm.
openaire +2 more sources
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
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
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
A Bio‐Inspired Perspective on Materials Sustainability
This perspective discusses natural materials as inspiration for sustainable engineering designs and the processing of materials. First, circularity, longevity, parsimony, and activity are presented as essential material paradigms. The perspective then uses many examples of natural and technical materials to introduce principles such as oligo ...
Wolfgang Wagermaier+2 more
wiley +1 more source
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
10 Years Development of Potassium‐Ion Batteries
Significant progress is made in PIBs over the past decade, but the improvements based on half‐cell testing, low mass loading, and low energy density are insufficient for practical applications. This review summarizes the challenges and strategies for PIBs, highlights the importance of further research focusing on full cells, and provides an analysis of
Mingnan Li+7 more
wiley +1 more source
We introduce Mann-type extragradient methods for a general system of variational inequalities with solutions of a multivalued variational inclusion and common fixed points of a countable family of nonexpansive mappings in real smooth Banach spaces.
Lu-Chuan Ceng+2 more
doaj +1 more source