Results 1 to 10 of about 21,410 (211)

The Meir-Keeler type contractions in extended modular $ b $-metric spaces with an application

open access: yesAIMS Mathematics, 2021
In this paper, we introduce the notion of a modular p-metric space (an extended modular b-metric space) and establish some fixed point results for α-̂ν-Meir-Keeler contractions in this new space.
Abdolsattar Gholidahneh   +5 more
semanticscholar   +1 more source

Fixed point theorems in modular G-metric spaces

open access: yesJournal of Inequalities and Applications, 2021
We prove the existence and uniqueness of fixed points of some generalized contractible operators defined on modular G -metric spaces and also prove the modular G -continuity of such operators. Furthermore, we prove that some generalized weakly compatible
G. A. Okeke   +3 more
semanticscholar   +2 more sources

Generalised Presic Type Operators in Modular Metric Space and an Application to Integral Equations of Caratheodory Type Functions

open access: yesJournal of mathematics, 2021
Extending the Presic type operators to modular spaces, we introduce generalised Presic type w -contractive mappings and strongly w -contractive mappings in a modular metric space and establish fixed-point theorems for such contractions in ...
F. Alshammari   +3 more
semanticscholar   +1 more source

Statistical convergence in g-metric spaces [PDF]

open access: yesFilomat, 2021
The purpose of this paper is to define statistically convergent sequences with respect to the metrics on generalized metric spaces (g-metric spaces) and investigate basic properties of this statistical form of convergence.
R. Abazari
semanticscholar   +1 more source

Integral type contractions in modular metric spaces

open access: yesJournal of Inequalities and Applications, 2013
We prove the existence and uniqueness of a common fixed point of compatible mappings of integral type in modular metric spaces.MSC:47H09, 47H10, 46A80.
B. Azadifar   +3 more
semanticscholar   +2 more sources

Fixed point theorems for Geraghty-type mappings applied to solving nonlinear Volterra-Fredholm integral equations in modular G-metric spaces

open access: yesArab Journal of Mathematical Sciences, 2021
PurposeThe authors prove the existence and uniqueness of fixed point of mappings satisfying Geraghty-type contractions in the setting of preordered modular G-metric spaces.
G. A. Okeke, Daniel Francis
semanticscholar   +1 more source

C*-Algebra Valued Modular G-Metric Spaces with Applications in Fixed Point Theory

open access: yesSymmetry, 2021
This article introduces a new type of C*-algebra valued modular G-metric spaces that is more general than both C*-algebra valued modular metric spaces and modular G-metric spaces. Some properties are also discussed with examples. A few common fixed point
Dipankar Das   +7 more
semanticscholar   +1 more source

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

open access: yesArab Journal of Mathematical Sciences, 2021
PurposeThis 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 al. [
G. A. Okeke, Daniel Francis
semanticscholar   +1 more source

Geometry and quasisymmetric parametrization of Semmes spaces [PDF]

open access: yes, 2011
We consider decomposition spaces R/G that are manifold factors and admit defining sequences consisting of cubes-with-handles. Metrics on R/G constructed via modular embeddings of R/G into Euclidean spaces promote the controlled topology to a controlled ...
Pekka Pankka, J. Wu
semanticscholar   +1 more source

Quasi-Contractive Mappings in Modular Metric Spaces

open access: yesJournal of Applied Mathematics, 2012
We prove the existence of fixed point and uniqueness of quasi-contractive mappings in modular metric spaces which was introduced by ...
Y. Cho, R. Saadati, G. Sadeghi
semanticscholar   +1 more source

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