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Fixed Point Theory in Modular Function Spaces [PDF]

, 2015
Mohamed Amine Khamsi, Wojciech M Kozlowski   +1 more
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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.
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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.
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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
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Notes on modular function spaces. II

Summary: This paper is a continuation of part I (the same issue review below). Section 6 deals with a \(\Delta_ 2\)-condition defined for modular function spaces. The case of non-monotone convex function modulars is considered in Section 7. Section 8 is a brief exposition of some special cases and examples; it contains many references to the ...
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Modular Function Spaces

2015
Mohamed A. Khamsi, Wojciech M. Kozlowski
openaire   +1 more source

Non-linear modular Birkhoff-James orthogonality preservers between spaces of continuous functions

Journal of Mathematical Analysis and Applications, 2021
Ryotaro Tanaka
exaly  

Fixed point results for Suzuki-type Σ-contractions via simulation functions in modular b-metric spaces

Mathematical Methods in the Applied Sciences, 2022
Abdurrahman Büyükkaya, Mahpeyker Öztürk   +1 more
exaly  

A New Version of Schauder and Petryshyn Type Fixed Point Theorems in S-Modular Function Spaces

Symmetry, 2020
Hamid Baghani, manuel de la Sen, Özgür Ege   +2 more
exaly  

On asymptotic pointwise nonexpansive mappings in modular function spaces

Journal of Mathematical Analysis and Applications, 2011
M A Khamsi
exaly