Results 201 to 210 of about 58,936 (221)
Some of the next articles are maybe not open access.
Fixed point results in orthogonal modular metric spaces
2020Summary: First we generalize the notion of \(O\)-sets and then we establish some fixed point theorems for Banach's contraction and Suzuki type \(\Theta\)-contraction in the setting of orthogonal modular metric spaces. The obtained results extend, generalize and improve many fixed point results given by some authors in the literature.
Hosseini, Hoda, Eshaghi Gordji, Madjid
openaire +1 more source
Modular metric spaces, I: Basic concepts
Nonlinear Analysis: Theory, Methods & Applications, 2010The author introduces the notion of a (metric) modular as follows: A (metric) modular on a set \(X\) is a function \(w:(0,\infty)\times X\times X\rightarrow [0,\infty]\) satisfying, for all \(x,y,z\in X,\) the following three properties: \(x=y\) if and only if \(w(\lambda,x,y)=0\) for all \(\lambda >0;\) \(w(\lambda,x,y)=w(\lambda,y,x)\) for all ...
openaire +2 more sources
Meir–Keeler type contractive mappings in modular and partial modular metric spaces
Asian-European Journal of Mathematics, 2019In this paper, first, we introduce the class of [Formula: see text]-Meir–Keeler contractive mappings and establish some fixed point results. Next, we introduce the notion of partial modular metric space and establish some fixed point results in this new spaces.
Hasan Hosseinzadeh, Vahid Parvaneh
openaire +1 more source
Existence Theory on Modular Metric Spaces
2018Since the year 1922, Banach’s contraction principle, due to its simplicity and usability, has become a popular tool in modern analytics, particularly in nonlinear analysis, including the use of equations, differential equations, variance, equilibrium problems, and much more (see, e.g., [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]).
Anantachai Padcharoen +2 more
openaire +1 more source
Some results for cyclic weak contractions in modular metric space
2023Summary: In this paper, we present some fixed point results for cyclic weak \(\phi\)-contractions in \(\omega\)-complete modular metric spaces and \(\omega\)-compact modular metric spaces, respectively. Some results for contractions that have zero cyclic properties are also provided.
Rahimpoor, Hossein, Nikoufar, Ismail
openaire +2 more sources
Modular metric spaces, II: Application to superposition operators
Nonlinear Analysis: Theory, Methods & Applications, 2010The author presents an exhausting description of Lipschitz continuous and some other classes of nonlinear superposition operators acting in modular metric spaces of functions of a real variable of finite generalized variation in the sense of \textit{M. Schramm} [Trans. Am. Math. Soc.
openaire +2 more sources
Wireless sensor networks with modular metric spaces
Journal of Interdisciplinary MathematicsChistyakov introduced notions of Metric Modular Spaces (MMS) recently. There are motivating chances when integrating the Fixed-Point Theorem (FPT) of MMS into the model and function of a Wireless Sensor Network (WSN), particularly when it comes to reformation network functions, routing algorithms, and data aggregation methods. In WSN data communication,
Swapna Siddamsetti +6 more
openaire +1 more source
Corrigendum: Modular Metric Spaces
Irish Mathematical Society Bulletin, 2022Hana Abobaker, Raymond A. Ryan
openaire +1 more source
Fixed Point Results in Modular S-Metric Space
Asian Journal of Mathematics and Computer ResearchIn this work, some definitions, properties and propositions in modular S-metric space were given, existence, uniqueness and coincidence point of a fixed point results in the space were also provided using some general contractive conditions defined in modular S-metric space settings. Our results shows that existence and uniqueness of [L, ϕ] contraction
B. Y. Aiyetan, K. Rauf
openaire +1 more source