Results 111 to 120 of about 4,637,247 (289)
Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings
, 2013 In this paper we introduce the concept of cone metric spaces with Banach algebras, replacing Banach spaces by Banach algebras as the underlying spaces of cone metric spaces.
Hao Liu, Shaoyuan Xu
semanticscholar +1 more source
Graphical models for topological groups: A case study on countable Stone spaces
Bulletin of the London Mathematical Society, Volume 57, Issue 8, Page 2311-2335, August 2025.Abstract By analogy with the Cayley graph of a group with respect to a finite generating set or the Cayley–Abels graph of a totally disconnected, locally compact group, we detail countable connected graphs associated to Polish groups that we term Cayley–Abels–Rosendal graphs.
Beth Branman +3 more
wiley +1 more source
Iterative Schemes for Nonconvex Quasi-Variational Problems with V-Prox-Regular Data in Banach Spaces
Journal of Function Spaces, 2017 In this paper, we propose an extension of quasi-equilibrium problems from the convex case to the nonconvex case and from Hilbert spaces to Banach spaces. The proposed problem is called quasi-variational problem.
M. Bounkhel, Dj. Bounekhel
doaj +1 more source
Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators
Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11161-11170, 30 July 2025.ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
wiley +1 more source
A generalization of results of R.C. James concerning absolute basis in Banach spaces [PDF]
, 1958 C. Bessaga, A. Pełczyński
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Uniform Asymptotic Stability of a PDE'S System Arising From a Flexible Robotics Model
Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11242-11251, 30 July 2025.ABSTRACT In this paper, we investigate the uniform asymptotic stability of a fourth‐order partial differential equation with a fading memory forcing term and boundary conditions arising from a flexible robotics model. To achieve this goal, the model is reformulated in an abstract framework using the C0$$ {C}_0 $$‐semigroup theory.
Tiziana Cardinali +2 more
wiley +1 more source
On characteristic functions of Banach space valued random variables [PDF]
, 1957 R. K. Getoor
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Demonstratio Mathematica, 1997 Let \(X\) be an infinite-dimensional complex Banach space, and let \(T\) be a bounded linear operator defined on \(X\) satisfying \(\dim T^{- 1}(0)= 0\), \(\dim X/T(X)= 1\) and \(\bigcap^\infty_{n= 1}T^n(X)= \{0\}\). Such an operator is known as a shift [\textit{R. M. Crownover}, Mich. Math. J. 19, 233-247 (1972; Zbl 0228.47016)]. If \(x_0\) is a fixed
openaire +3 more sources
Mathematical Methods in the Applied Sciences, Volume 48, Issue 10, Page 10550-10570, 15 July 2025.ABSTRACT Bacteriophages, or phages (viruses of bacteria), play significant roles in shaping the diversity of bacterial communities within the human gut. A phage‐infected bacterial cell can either immediately undergo lysis (virulent/lytic infection) or enter a stable state within the host as a prophage (lysogeny) until a trigger event, called prophage ...
Hyacinthe M. Ndongmo Teytsa +3 more
wiley +1 more source