The unboundedness of Hausdorff operators on quasi‐Banach spaces
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7716
Abstract: In this note, we show that the Hausdorff operator $H_{\Phi}$ is unbounded on a large family of Quasi-Banach spaces, unless $H_{\Phi}$ is a zero operator. read more here.
Keywords: hausdorff operators; unboundedness hausdorff; quasi banach; banach spaces ... See more keywords
Some Fixed Point Theorems in Banach Spaces and Application to a Transport Equation with Delayed Neutrons
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DOI: 10.1007/s00009-021-01815-4
Abstract: In this paper, we present some fixed point theorems of Krasnosel’skii’s type in Banach spaces. The involved operators need not to be compact nor weakly continuous. The results are obtained and formulated with the use… read more here.
Keywords: fixed point; transport equation; banach spaces; point theorems ... See more keywords
Translation–Modulation Invariant Banach Spaces of Ultradistributions
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DOI: 10.1007/s00041-018-9610-x
Abstract: We introduce and study a new class of translation–modulation invariant Banach spaces of ultradistributions. These spaces show stability under Fourier transform and tensor products; furthermore, they have a natural Banach convolution module structure over a… read more here.
Keywords: translation modulation; banach spaces; spaces ultradistributions; modulation invariant ... See more keywords
A New Double-Projection Method for Solving Variational Inequalities in Banach Spaces
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DOI: 10.1007/s10957-018-1228-2
Abstract: In this paper, we study the variational inequalities involving monotone and Lipschitz continuous mapping in Banach spaces. A new and simple iterative method, which combines Halpern’s technique and the subgradient extragradient idea, is given. Under… read more here.
Keywords: banach spaces; spaces new; method; variational inequalities ... See more keywords
Error Bounds for Approximate Solutions of Abstract Inequality Systems and Infinite Systems of Inequalities on Banach Spaces
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DOI: 10.1007/s11228-020-00551-3
Abstract: Using the result of the error estimate of the simple extended Newton method established in the present paper for solving abstract inequality systems, we study the error bound property of approximate solutions of abstract inequality… read more here.
Keywords: abstract inequality; banach spaces; approximate solutions; solutions abstract ... See more keywords
On the Law of Iterated Logarithm for the Maximum Scheme in Ideal Banach Spaces
Sign Up to like & getrecommendations! Published in 2019 at "Ukrainian Mathematical Journal"
DOI: 10.1007/s11253-019-01650-7
Abstract: We obtain asymptotic estimates in the law of iterated logarithm for the extreme values of a sequence of independent random variables in Banach spaces. read more here.
Keywords: logarithm maximum; law iterated; banach spaces; iterated logarithm ... See more keywords
Existence theorems for perturbed variational inequalities in Banach spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0536-3
Abstract: The aim of this paper is to establish existence and boundedness theorems for perturbed variational inequalities defined by a set-valued mapping without any kind of monotonicity in Banach spaces. The first result is shown that… read more here.
Keywords: inequalities banach; banach spaces; variational inequalities; theorems perturbed ... See more keywords
Fixed point theory for countably weakly condensing maps and multimaps in non-separable Banach spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0644-0
Abstract: In this paper, we establish new fixed point results for some weakly countably condensing and weakly sequentially continuous maps, fixed-point results of Krasnosel’skii–Daher type for the sum of two weakly sequentially continuous mappings in Banach… read more here.
Keywords: point; banach spaces; point theory; fixed point ... See more keywords
The geometry of Hamming-type metrics and their embeddings into Banach spaces
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DOI: 10.1007/s11856-021-2187-0
Abstract: Within the class of reflexive Banach spaces, we prove a metric characterization of the class of asymptotic-$c_0$ spaces in terms of a bi-Lipschitz invariant which involves metrics that generalize the Hamming metric on $k$-subsets of… read more here.
Keywords: hamming type; asymptotic subsequential; banach spaces; geometry hamming ... See more keywords
Zero Point Problem of Accretive Operators in Banach Spaces
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DOI: 10.1007/s40840-017-0470-3
Abstract: Splitting methods have recently received much attention due to the fact that many nonlinear problems arising in applied areas such as image recovery, signal processing and machine learning are mathematically modeled as a nonlinear operator… read more here.
Keywords: accretive operators; problem; banach spaces; zero point ... See more keywords
Generalized Dobrushin Coefficients on Banach Spaces
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DOI: 10.1007/s41980-021-00600-z
Abstract: The asymptotic behavior of iterates of bounded linear operators (not necessarily positive), acting on Banach spaces, is studied. Through the Dobrushin ergodicity coefficient, we generalize some ergodic theorems obtained earlier for classical Markov semigroups acting… read more here.
Keywords: coefficients banach; banach; banach spaces; generalized dobrushin ... See more keywords