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On Ideal Convergence in Generalized Metric Spaces

open access: yesDera Natung Government College Research Journal, 2023
Our main goal in this paper is to introduce the concept of ideal convergence in G-metric spaces. We give definitions of GI-convergence and GI*-convergence in G-metric spaces. We also extend the I-convergence concept's properties to GI-convergence.
Saime Kolancı, Mehmet Gurdal
doaj   +1 more source

Applications of Orlicz–Pettis theorem in vector valued multiplier spaces of generalized weighted mean fractional difference operators

open access: yesAdvances in Difference Equations, 2021
In this study, we deal with some new vector valued multiplier spaces S G h ( ∑ k z k ) $S_{G_{h}}(\sum_{k}z_{k})$ and S w G h ( ∑ k z k ) $S_{wG_{h}}(\sum_{k}z_{k})$ related with ∑ k z k $\sum_{k}z_{k}$ in a normed space Y.
Kuldip Raj, Swati Jasrotia, M. Mursaleen
doaj   +1 more source

Fuzzy Real Pre-Hilbert Space and Some of Their Properties

open access: yesمجلة بغداد للعلوم, 2022
In this work, two different structures are proposed which is fuzzy real normed space (FRNS) and fuzzy real Pre-Hilbert space (FRPHS). The basic concept of fuzzy norm on a real linear space is first presented to construct  space, which is a FRNS with ...
Mayada N. Mohammedali
doaj   +1 more source

Statistical convergence in probabilistic generalized metric spaces w.r.t. strong topology

open access: yesJournal of Inequalities and Applications, 2021
In this paper, the concept of probabilistic g-metric space with degree l, which is a generalization of probabilistic G-metric space, is introduced. Then, by endowing strong topology, the definition of l-dimensional asymptotic density of a subset A of N l
Rasoul Abazari
doaj   +1 more source

A New Contraction-Type Mapping on a Vectorial Dislocated Metric Space over Topological Modules

open access: yesAxioms, 2022
One recent and prolific direction in the development of fixed point theory is to consider an operator T:X→X defined on a metric space (X,d) which is an F—contraction, i.e., T verifies a condition of type τ+F(d(T(x),T(y))≤F(d(x,y)), for all x,y∈X, T(x)≠T ...
Ion Marian Olaru
doaj   +1 more source

F-Contractions Endowed with Mann’s Iterative Scheme in Convex Gb-Metric Spaces

open access: yesAxioms, 2023
Recently, Ji et al. established certain fixed-point results using Mann’s iterative scheme tailored to Gb-metric spaces. Stimulated by the notion of the F-contraction introduced by Wardoski, the contraction condition of Ji et al.
Amna Naz   +4 more
doaj   +1 more source

Multiple recurrence and large intersections for abelian group actions

open access: yesDiscrete Analysis, 2021
Multiple recurrence and large intersections for abelian group actions, Discrete Analysis 2021:18, 91 pp. In 1975, Szemerédi proved his famous theorem that asserts that for every positive integer $k$ and every $\delta>0$ there exists $n$ such that every ...
Ethan Ackelsberg   +2 more
doaj   +1 more source

Some Fixed Point Results For Mappings In G-Metric Spaces

open access: yesDemonstratio Mathematica, 2014
We prove a common fixed point theorem for a pair of self mappings satisfying a generalized contractive type condition in a complete G-metric space. We also deal with other fixed point results for a self mapping in the setting of generalized metric space.
Mohanta S. K., Mohanta Srikanta
doaj   +1 more source

Theoretical prediction, synthesis, and crystal structure determination of new MAX phase compound V2SnC

open access: yesJournal of Advanced Ceramics, 2020
Guided by the theoretical prediction, a new MAX phase V2SnC was synthesized experimentally for the first time by reaction of V, Sn, and C mixtures at 1000 °C.
Qiang Xu   +9 more
doaj   +1 more source

Some Fixed Point Theorems in G-metric Spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
We prove some fixed point theorems for self mappings satisfying some kind of contractive type conditions on complete G-metric ...
Mohanta Sushanta Kumar
doaj   +1 more source

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