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On simple normal structure and best proximity points in reflexive Banach space
Carpathian Journal of MathematicsWe introduce the concept of simple normal structure (see Definition ??) for a pair of subsets in a normed space that is not proximal. Using this concept, we show that if E is a reflexive Banach space, A and B are two nonempty, convex, bounded and closed subsets of E having a simple normal structure, and T : A∪B−→A∪B is a cyclic relatively ...
Seddoug, Belkassem +2 more
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A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces
Israel Journal of Mathematics, 1979The following theorem is proven:if E is a uniformly rotund Banach space with a Frechet differentiable norm, C is a bounded nonempty closed convex subset of E, and T: C→C is a contraction, then the iterates {Tnx} are weakly almost-convergent to a fixed-point of T.
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Responsive materials architected in space and time
Nature Reviews Materials, 2022Xiaoxing Xia +2 more
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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Cosmology with the Laser Interferometer Space Antenna
Living Reviews in Relativity, 2023Germano Nardini
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Ab Initio Machine Learning in Chemical Compound Space
Chemical Reviews, 2021Bing Huang, O Anatole Von Lilienfeld
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Blockchain-Empowered Space-Air-Ground Integrated Networks: Opportunities, Challenges, and Solutions
IEEE Communications Surveys and Tutorials, 2022Yuntao Wang, Zhou, Jianbing Ni
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An integrated space-to-ground quantum communication network over 4,600 kilometres
Nature, 2021Yu-Ao Chen, Qiang Zhang, Teng-Yun Chen
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