Results 11 to 20 of about 112,607 (232)

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

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

Control Functions in G-Metric Spaces: Novel Methods for θ-Fixed Points and θ-Fixed Circles with an Application

open access: yesSymmetry, 2023
The purpose of this paper is to present some new contraction mappings via control functions. In addition, some fixed point results for Θ,α,θ,Ψ contraction, rational Θ,α,θ,Ψ contraction and almost Θ,α,θ,Ψ contraction mappings are obtained. Moreover, under
H. Hammad   +2 more
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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