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A note on the admissibility of modular function spaces

open access: yesJournal of Mathematical Analysis and Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Diana Caponetti, Grzegorz Lewicki
exaly   +6 more sources

Fixed point theory in modular function spaces [PDF]

open access: yesNonlinear Analysis: Theory, Methods & Applications, 1990
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M A Khamsi
exaly   +2 more sources
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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

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