Results 1 to 10 of about 10,724 (253)

KKM and KY fan theorems in modular function spaces [PDF]

open access: yesFixed Point Theory and Applications, 2011
In modular function spaces, we introduce Knaster-Kuratowski-Mazurkiewicz mappings (in short KKM-mappings) and prove an analogue to Ky Fan s fixed point theorem. 2010 Mathematics Subject Classification: Primary 46B20, 47H09; Secondary 47H10.
Latif Abdul   +2 more
doaj   +4 more sources

Approximation of fixed point of multivalued ρ-quasi-contractive mappings in modular function spaces [PDF]

open access: yesArab Journal of Mathematical Sciences, 2020
The purpose of this paper is to extend the recent results of Okeke et al. (2018) to the class of multivalued ρ-quasi-contractive mappings in modular function spaces.
Godwin Amechi Okeke, Safeer Hussain Khan
doaj   +3 more sources

Fixed Points of Multivalued Maps in Modular Function Spaces [PDF]

open access: yesFixed Point Theory and Applications, 2009
The purpose of this paper is to study the existence of fixed points for contractive-type and nonexpansive-type multivalued maps in the setting of modular function spaces. We also discuss the concept of w-modular function and prove fixed point results for
Marwan A. Kutbi, Abdul Latif
doaj   +3 more sources

Banach Contraction Principle-Type Results for Some Enriched Mappings in Modular Function Spaces

open access: yesAxioms, 2023
The idea of enriched mappings in normed spaces is relatively a newer idea. In this paper, we initiate the study of enriched mappings in modular function spaces.
Safeer Hussain Khan   +2 more
doaj   +3 more sources

Perturbed integral equations in modular function spaces

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2003
We focus our attention on a class of perturbed integral equations in modular spaces, by using fixed point Theorem I.1 (see [1]).
Ahmed Hajji, E. Hanebaly
doaj   +2 more sources

Examples of weakly compact sets in Orlicz spaces [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
This paper provides a number of examples of relatively weakly compact sets in Orlicz spaces. We show some results arising from these examples.
D. Dauitbek   +2 more
doaj   +3 more sources

Some fixed-point theorems for a general class of mappings in modular G-metric spaces [PDF]

open access: yesArab Journal of Mathematical Sciences, 2022
Purpose – This paper aims to prove some fixed-point theorems for a general class of mappings in modular G-metric spaces. The results of this paper generalize and extend several known results to modular G-metric spaces, including the results of Mutlu et ...
Godwin Amechi Okeke, Daniel Francis
doaj   +1 more source

Multistep-type construction of fixed point for multivalued ρ-quasi-contractive-like maps in modular function spaces [PDF]

open access: yesArab Journal of Mathematical Sciences, 2021
Purpose – In this paper, the explicit multistep, explicit multistep-SP and implicit multistep iterative sequences are introduced in the context of modular function spaces and proven to converge to the fixed point of a multivalued map T such that PρT, an ...
Hudson Akewe, Hallowed Olaoluwa
doaj   +1 more source

A Study of a Nonlinear Ordinary Differential Equation in Modular Function Spaces Endowed with a Graph

open access: yesJournal of Function Spaces, 2021
In this paper, we prove by means of a fixed-point theorem an existence result of the Cauchy problem associated to an ordinary differential equation in modular function spaces endowed with a reflexive convex digraph.
Jaauad Jeddi   +2 more
doaj   +1 more source

Convergence Results for Total Asymptotically Nonexpansive Monotone Mappings in Modular Function Spaces

open access: yesJournal of Function Spaces, 2021
In this article, we consider an extensive class of monotone nonexpansive mappings. We use S-iteration to approximate the fixed point for monotone total asymptotically nonexpansive mappings in the settings of modular function space.
Maliha Rashid   +4 more
doaj   +1 more source

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