Asymptotic Isometries for Lacunary Müntz Spaces and Applications
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DOI: 10.1007/s00020-019-2511-9
Abstract: We prove that the normalized sequence $$\big ((p\lambda _n+1)^{1/p}t^{\lambda _n})\big )_{n\in \mathbb {Z}}$$((pλn+1)1/ptλn))n∈Z in $$L^p([0,1])$$Lp([0,1]), up to some truncation, is asymptotically isometric to the canonical basis of $$\ell ^p$$ℓp if and only if it is… read more here.
Keywords: ntz spaces; lambda; isometries lacunary; lacunary ntz ... See more keywords
A Note on Campanato Spaces and Their Applications
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DOI: 10.1134/s0001434618030148
Abstract: In this paper, we obtain a version of the John–Nirenberg inequality suitable for Campanato spaces Cp,β with 0 < p < 1 and show that the spaces Cp,β are independent of the scale p ∈… read more here.
Keywords: note campanato; campanato; spaces applications; campanato spaces ... See more keywords
Best proximity points in ℱ-metric spaces with applications
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DOI: 10.1515/dema-2022-0191
Abstract: Abstract The aim of this article is to introduce α \alpha - ψ \psi -proximal contraction in the setting of ℱ-metric space and prove the existence of best proximity points for these contractions. As applications… read more here.
Keywords: proximity points; points metric; spaces applications; metric spaces ... See more keywords
Some New Results for (α, β)-Admissible Mappings in 𝔽-Metric Spaces with Applications to Integral Equations
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DOI: 10.3390/sym14112429
Abstract: In this paper, we consider and extend some fixed point results in F-complete F-metric spaces by relaxing the symmetry of complete metric spaces. We generalize α,β-admissible mappings in the setting of F-metric spaces. The derived… read more here.
Keywords: new results; mappings metric; results admissible; spaces applications ... See more keywords