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

Axioms
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   +6 more sources

On Modified Interpolative Almost $\mathcal{E}-$Type Contraction in Partial Modular $b-$Metric Spaces

Axioms, 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, Abdurrahman Büyükkaya, Mahpeyker Öztürk   +2 more
doaj   +3 more sources

On the Impact of Some Fixed Point Theorems on Dynamic Programming and RLC Circuit Models in $\mathfrak{R}$-Modular b-Metric-like Spaces

Axioms
In this study, we significantly extend the concept of modular metric-like spaces to introduce the notion of b-metric-like spaces. Furthermore, by incorporating a binary relation R, we develop the framework of R-modular b-metric-like spaces.
Ekber Girgin, Abdurrahman Büyükkaya, Neslihan Kaplan Kuru, Mahpeyker Öztürk   +3 more
doaj   +5 more sources

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

AIMS Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gholidahneh, Abdolsattar, Sedghi, Shaban, Ege, Ozgur, Mitrovic, Zoran D., de la Sen, Manuel   +4 more
openaire   +3 more sources

Teori Titik Tetap untuk Tipe Kannan yang Diperumum dalam Ruang b-Metrik Modular Lengkap

Jambura Journal of Mathematics, 2023
Some generalizations of Banach's contraction principle, which is a fixed-point theorem for contraction mapping in metric spaces, have developed rapidly in recent years.
Afifah Hayati, Noor Sofiyati, Dwiani Listya Kartika   +2 more
doaj   +2 more sources

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

Analele 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, Öztürk Mahpeyker   +1 more
doaj   +3 more sources

Fixed Point Results for Generalized F-Contractions in Modular b-Metric Spaces with Applications [PDF]

Mathematics, 2019
The aim of this paper is to generalize the F -contractive condition in the framework of α - ν -complete modular b-metric spaces. Some results in ordered modular b-metric spaces are also presented.
Vahid Parvaneh, Nawab Hussain, Maryam Khorshidi, Nabil Mlaiki, Hassen Aydi   +4 more
doaj   +2 more sources

Some Common Fixed Point Results for 𝒵E−Contractions in Modular b−Metric Spaces

Topological Algebra and its Applications, 2022
The primary purpose of this study is to demonstrate some common fixed point theorems for diverse E−contractions involving generalized Proinov-simulation functions in the setting of modular b−metric spaces.
Büyükkaya Abdurrahman, Öztürk Mahpeyker   +1 more
doaj   +2 more sources

Fixed point results of a-bY-F-Geraghty type contractive mapping on modular b-metric spaces [PDF]

Mathematica Moravica
In this paper, we generalize a-bY-F-Geraghty type contraction in modular b-metric spaces and prove some fixed point results that are justified by suitable examples.
Jain Shishir, Sharma Yogita, Jain Shobha, Sharma Sumit   +3 more
doaj   +2 more sources

FIXED POINT THEOREMS FOR MULTIVALUED MAPPINGS IN MODULAR B-METRIC SPACES

Barekeng
This paper explores multivalued mappings in modular b-metric spaces, with particular emphasis on contraction-type mappings. It introduces the concept of a Hausdorff distance adapted to this setting and investigates fixed point theorems associated with ...
Hartono Hartono, Lusi Harini, Afifah Hayati, Syamsudin Mas'ud, Thesa Adi Saputra Yusri, Karyati Karyati, Fitriana Yuli Saptaningtyas   +6 more
doaj   +2 more sources