Results 231 to 240 of about 51,985 (260)

Reprogramming RiPP scaffolds through skeletal editing unlocks chemical space. [PDF]

open access: yesChem Sci
Ogawa H   +8 more
europepmc   +1 more source

On Monotone Mappings in Modular Function Spaces

2021
Because of its many diverse applications, fixed point theory has been a flourishing area of mathematical research for decades. Banach’s formulation of the contraction mapping principle in the early twentieth century signaled the advent of an intense interest in the metric related aspects of the theory.
M. R. Alfuraidan   +2 more
openaire   +1 more source

Geometry of Modular Function Spaces

2015
This chapter introduces general notions related to the geometry of modular function spaces. We define the modular version of uniform convexity and property (R) which will equip us with powerful tools for proving the fixed point theorems in modular function spaces.
Mohamed A. Khamsi, Wojciech M. Kozlowski
openaire   +1 more source

Modular network SOM (mnSOM): from vector space to function space

Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005., 2006
Kohonen's self-organizing map (SOM), which performs topology-preserving transformation from a high dimensional data vector space to a low-dimensional map space, provides a powerful tool for data analysis, classification and visualization in many application fields. Despite its power, SOM can only deal with vectorized data, although many expansions have
Tetsuo Furukawa   +3 more
openaire   +1 more source

On asymptotic pointwise contractions in modular function spaces

Nonlinear Analysis: Theory, Methods & Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khamsi, M. A., Kozlowski, W. M.
openaire   +1 more source

Spaces of Lipschitz Functions on n-Modular Spaces

Full Text Book of Minar Congress12
The intent of this article is to explore some properties of the set of all bounded linear operators and the set of all Lipschitz functions that are defined on n-modular spaces. We introduce the definition of n-modular bounded linear operator and then we describe the set of all n-modular bounded linear operator.
openaire   +1 more source

Semigroups of Nonlinear Mappings in Modular Function Spaces

2015
Let us recall that a family \(\{T_t\}_{t \geq 0}\) of mappings forms a semigroup if \(T_0(x)=x\), and \(T_{s+t}=T_s(T_t(x))\). Such a situation is quite typical in mathematics and applications. For instance, in the theory of dynamical systems, the modular function space \(L_{\rho}\) would define the state space and the mapping \((t,x)\rightarrow T_t(x)\
Mohamed A. Khamsi, Wojciech M. Kozlowski
openaire   +1 more source

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