Results 11 to 20 of about 11,875 (203)

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   +4 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

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   +2 more sources

Convexity and boundedness relaxation for fixed point theorems in modular spaces

Applied General Topology, 2021
Although fixed point theorems in modular spaces have remarkably applied to a wide variety of mathematical problems, these theorems strongly depend on some assumptions which often do not hold in practice or can lead to their reformulations as particular ...
Fatemeh Lael, Samira Shabanian
doaj   +1 more source

On generalized Suzuki-Proinov type (α,Z*E)−contractions in modular b−metric spaces

Filomat, 2023
This paper?s objective is to put forward anewkind of E?type contraction, which includes rational expression, by considering Proinov type functions and CG?simulation functions. This type of contraction is termed as a Suzuki-Proinov type generalized (?,Z* E)?contraction mapping.
Sakarya Üniversitesi, Fen Fakültesi, Matematik Bölümü, Buyukkaya, Abdurrahman, Fulga, Andreea, Ozturk, Mahpeyker, Öztürk, Mahpeyker   +4 more
openaire   +1 more source

Fixed point results for Suzuki‐type Σ‐contractions via simulation functions in modular b‐metric spaces [PDF]

Mathematical Methods in the Applied Sciences, 2020
This study aims to introduce Suzuki‐type Σ‐contraction mappings with simulation functions in the framework of modular b‐metric spaces. Some coincidence and common fixed point results are obtained for four mappings with the weak compatibility property. Outcomes are the extensions and improvements of the existing literature.
Mahpeyker ÖZTÜRK, Abdurrahman Buyukkaya   +1 more
openaire   +1 more source

On Some Fixed Point Theorems for $\mathcal{G} (\Sigma, \vartheta, \Xi )-$Contractions in Modular $b-$Metric Spaces

Fundamental Journal of Mathematics and Applications, 2022
This article aims to specify a new $C-$class function endowed with altering distance and ultra altering distance function via generalized $\Xi -$contraction, which is called the $\mathcal{G}\left( {\Sigma ,\vartheta ,\Xi } \right) - $contraction in modular $b-$metric spaces.
Mahpeyker ÖZTÜRK, Abdurrahman BÜYÜKKAYA   +1 more
openaire   +2 more sources

Some Extensions of Fixed Point Results over Quasi-JS-Spaces

Journal of Function Spaces, 2016
We introduce the notion of quasi-JS-metric space. After defining the basic topological properties of quasi-JS-metric space, we investigate fixed point of certain mapping in the frame of complete quasi-JS-metric space.
Maha Noorwali, Hamed H. Alsulami, Erdal Karapınar   +2 more
doaj   +1 more source

Analysis of Caputo-Type Non-Linear Fractional Differential Equations and Their Ulam–Hyers Stability

Fractal and Fractional
This study presents two novel frameworks, termed a quasi-modular b-metric space and a non-Archimedean quasi-modular b-metric space, and various topological properties are provided.
Ekber Girgin, Abdurrahman Büyükkaya, Neslihan Kaplan Kuru, Mudasir Younis, Mahpeyker Öztürk   +4 more
doaj   +1 more source

Fixed point theorems in modular b-metric spaces and application

Boletim da Sociedade Paranaense de Matemática
In this paper, we prove a general fixed point theorem for a mapping satisfying a new type of implicit relation in modular b-metric spaces and we give an application to establish the existence of a solution for a system of nonlinear integral equations.
Abdelhak El Haddouchi, Mustapha Essaadaoui, Brahim Marzouki   +2 more
openaire   +1 more source