Results 11 to 20 of about 29,080 (161)
Non-convex proximal pair and relatively nonexpansive maps with respect to orbits
Journal of Inequalities and Applications, 2021 Every non-convex pair ( C , D ) $(C, D)$ may not have proximal normal structure even in a Hilbert space. In this article, we use cyclic relatively nonexpansive maps with respect to orbits to show the presence of best proximity points in C ∪ D $C\cup D$ ,
Laishram Shanjit, Yumnam Rohen
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Optimal Convergence Rates for Tikhonov Regularization in Besov Spaces [PDF]
SIAM Journal on Numerical Analysis, 2020 This paper deals with Tikhonov regularization for linear and nonlinear ill-posed operator equations with wavelet Besov norm penalties. We show order optimal rates of convergence for finitely smoothing operators and for the backwards heat equation for a range of Besov spaces using variational source conditions.
Weidling, Frederic +2 more
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An Immersed Virtual Element Method Based on Interface Problems
Journal of Harbin University of Science and Technology, 2023 An immersed virtual element method is developed to solve the second-order interface problems in two-dimensional space , which overcomes the problem that the constructed space cannot satisfy both the coordination and jump conditions. The key idea is to
MA Jun chi, SUO Yu yang
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The regularity series of a convergence space [PDF]
Bulletin of the Australian Mathematical Society, 1975 The regularity series, or brieflyR-series, of a convergence space is an ordinal sequence of spaces leading to the regular modification of the space. The behavior of this series is studied relative to such basic constructs as products, subspaces, and various quotient maps.
Richardson, G. D., Kent, Darrell C.
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Regular compactifications of convergence spaces [PDF]
Proceedings of the American Mathematical Society, 1972 This note gives a simple characterization for the class of convergence spaces for which regular compactifications exist and shows that each such convergence space has a largest regular compactification.
Richardson, G. D., Kent, Darrell C.
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Resolvent Convergence for Differential–Difference Operators with Small Variable Translations
Mathematics, 2023 We consider general higher-order matrix elliptic differential–difference operators in arbitrary domains with small variable translations in lower-order terms.
Denis Ivanovich Borisov +1 more
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Regularity of fuzzy convergence spaces [PDF]
Open Mathematics, 2018 Abstract(Fuzzy) convergence spaces are extensions of (fuzzy) topological spaces. ⊤-convergence spaces are one of important fuzzy convergence spaces. In this paper, we present an extending dual Fischer diagonal condition, and making use of this we discuss a regularity of ⊤-convergence spaces.
Li Lingqiang, Jin Qiu, Yao Bingxue
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Abstract and Applied Analysis, 2020 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
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On Soft Normed Quasilinear Spaces
Journal of New Theory, 2023 In this study, we investigate some properties of soft quasi-sequences and present new results. We then study the completeness of soft normed quasilinear space and present an analog of convergence and boundness results of soft quasi sequences in soft ...
Hacer Bozkurt, Fatma Bulak
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T-regular probabilistic convergence spaces [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1998 AbstractA probabilistic convergence structure assigns a probability that a given filter converges to a given element of the space. The role of the t-norm (triangle norm) in the study of regularity of probabilistic convergence spaces is investigated. Given a probabilistic convergence space, there exists a finest T-regular space which is coarser than the
Minkler, J., Minkler, G., Richardson, G.
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