Results 1 to 10 of about 120,991 (234)

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

AIMS 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 $ \alpha $-$ \widehat{\nu} $-Meir-Keeler contractions in this new space.
Abdolsattar Gholidahneh , Shaban Sedghi, Ozgur Ege , Zoran D. Mitrovic, Manuel de la Sen   +4 more
doaj   +3 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

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   +2 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 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   +3 more sources

On Suzuki-Proinov Type Contractions in Modular $b$-Metric Spaces with an Application

Communications in Advanced Mathematical Sciences
In this paper, by taking ${{\mathcal C}_\mathcal{A}}-$simulation function and Proinov type function into account, we set up a new contraction mapping called Suzuki$-$Proinov $\mathpzc{Z^*}_{\aE^*}^{\aR}(\alpha)-$contraction, including both rational ...
Abdurrahman Büyükkaya, Mahpeyker Öztürk   +1 more
doaj   +3 more sources

Common Fixed Points Within Framework of F-Modular b-Metric Space and Its Applications

Abstract and Applied Analysis
MSC2010 Classification: 47H10 ...
Parveen Tyagi, Surjeet Singh Chauhan (Gonder), Naveen Mani, Rahul Shukla   +3 more
doaj   +2 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   +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   +1 more source