Results 61 to 70 of about 28,594 (245)
Optimal Control Applications and Methods, EarlyView.The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja +3 more
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A Study of Birkhoff Orthogonal Sets in Smooth Banach Spaces
Journal of Harbin University of Science and TechnologyReferring to the definition of orthogonal set in inner product space，the concept of Birkhoff orthogonal set is introduced in finite-dimensional real Banach spaces，and the problem of whether there exists a Birkhoff orthogonal set whose number of ...
WANG Xiaomei, JI Donghai
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ITM Web of Conferences, 2018 In this paper, we introduce the concept of pentagonal cone b-metric space over Banach algebras as a generalization of cone metric space over Banach algebras and many of its generalizations. Furthermore, we prove Banach fixed point theorem in such a space.
Auwalu Abba
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Distributed Leader‐Following Formation of Discrete‐Time Multi‐Agent LPV Systems
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper addresses the leader‐following formation consensus problem for multi‐agent systems (MASs) with agents represented by discrete‐time linear parameter‐varying (LPV) models. The scenario where each agent can be modeled with distinct time‐varying scheduling parameters is investigated with respect to compensation signals.
Paulo S. P. Pessim +4 more
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The Bregman–Opial Property and Bregman Generalized Hybrid Maps of Reflexive Banach Spaces
Mathematics, 2020 The Opial property of Hilbert spaces is essential in many fixed point theorems of non-expansive maps. While the Opial property does not hold in every Banach space, the Bregman–Opial property does.
Eskandar Naraghirad +2 more
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Homomorphisms on Banach spaces [PDF]
Bulletin of the American Mathematical Society, 1948 If & ^ 1 for each v, then by reasoning analogous to that of the preceding example, it may be shown, for any set (a), that there is no point p such that t p implies that log St(a, £) is concave. Hence Theorem 4 applies to all such functions log St(a, £).
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Monitoring panels of sparse functional data
Journal of Time Series Analysis, EarlyView.Panels of random functions are common in applications of functional data analysis. They often occur when sequences of functions are observed at a number of different locations. We propose a methodology to monitor for structural breaks in such panels and to identify the changing components with statistical certainty.
Tim Kutta +2 more
wiley +1 more source
Journal of Mathematical Analysis and Applications, 1991 The author considers nest algebras of operators on Banach spaces and asks how much of the known results about Hilbert space case carry over to Banach space case. If the Banach space is sufficiently looking like a Hilbert space, then some of them carry over: Theorem 1. If \(\mathcal N\) is a regular nest in a reflexive Banach space, then the radical of \
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On M-spaces and Banach spaces [PDF]
, 2008 We define in this paper the concept of C-space, related with M-spaces and Banach spaces. We obtain various properties on these spaces and propose some open problems.
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Adaptive Estimation for Weakly Dependent Functional Times Series
Journal of Time Series Analysis, EarlyView.ABSTRACT We propose adaptive mean and autocovariance function estimators for stationary functional time series under 𝕃p−m‐approximability assumptions. These estimators are designed to adapt to the regularity of the curves and to accommodate both sparse and dense data designs.
Hassan Maissoro +2 more
wiley +1 more source