Results 11 to 20 of about 4,629,646 (278)

Some Fixed Point Results for Sehgal-Proinov Type Contractions in Modular b−Metric Spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In this paper, inspired by Proinov type contractions, we intend to acquire novel definitions and results that expand Sehgals [3] metric fixed point theory in the sense of modular b−metric space. To demonstrate the theorems, we employ a general form of (α,
Büyükkaya Abdurrahman   +1 more
doaj   +2 more sources

On Modified Interpolative Almost E−Type Contraction in Partial Modular b−Metric Spaces

open access: yesAxioms, 2023
The current study attempts to identify a new generalized metric space structure, referred to as partial modular b−metric, that extends both partial modular metric space via b−metric space and explains the topological aspects of the new space implementing
Dilek Kesik   +2 more
doaj   +2 more sources

Common fixed point results on modular ℱ-metric spaces [PDF]

open access: yesAIP Conference Proceedings, 2019
Jleli and Samet[1] introduced a new concept, named a ℱ-metric space, as a generalization of the notion of metric space. We define new generalization of modular metric space as modular ℱ-metric space. We compare the topology produced by modular metric and by modular ℱ-metric, then cover some useful properties of this topology for fixed point theorems ...
Manav, Nesrin, Türkoğlu, Duran
openaire   +5 more sources

One-Local Retract and Common Fixed Point in Modular Metric Spaces [PDF]

open access: yesAbstract and Applied Analysis, 2013
The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced.
Afrah A. N. Abdou
doaj   +2 more sources

Quasi‐Contractive Mappings in Modular Metric Spaces [PDF]

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 ...
Yeol Je Cho   +2 more
core   +8 more sources

Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces [PDF]

open access: yesThe Scientific World Journal, 2014
The notion of modular metric spaces being a natural generalization of classical modulars over linear spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was recently introduced. In this paper we investigate the existence of fixed points of generalized
N. Hussain, P. Salimi
openaire   +5 more sources

Fixed point theorem and iterated function system in φ-metric modular space

open access: yesFixed Point Theory and Algorithms for Sciences and Engineering
We introduce and study the concept of φ-metric modular space and, then define φ-α-Meir-Keeler contraction on it and explore its fixed point. Further, we define the Hausdorff distance between two non-empty compact subsets of the considered space.
Bikramjit Acharjee, Guru Prem Prasad M
doaj   +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 modular spaces ...
Fahad Sameer Alshammari   +3 more
doaj   +2 more sources

On Asymptotic Pointwise Contractions in Modular Metric Spaces [PDF]

open access: yesAbstract and Applied Analysis, 2013
In this paper we study and prove some new fixed points theorems for pointwise and asymptotic pointwise contraction mappings in modular metric spaces.
Afrah A. N. Abdou
openaire   +5 more sources

Fixed Point Results in Modular b-Metric-like Spaces with an Application

open access: yesAxioms
In this study, we introduce a new space called the modular b-metric-like space. We investigate some properties of this new concept and define notions of ξ-convergence, ξ-Cauchy sequence, ξ-completeness and ξ-contraction.
Nizamettin Ufuk Bostan, Banu Pazar Varol
doaj   +2 more sources

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