Results 51 to 60 of about 5,641 (184)

An Improvement of Recent Fixed Point Results in Double‐Composed Partial Metric Spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
More recently, a new concept of double‐composed partial metric space has been introduced, and the related Banach type and Kannan type fixed point results have been established. In this paper, we reconsider Banach type fixed point result in double‐composed partial metric spaces under new and simple assumptions.
Chol Jin Kil, Nawab Hussain
wiley   +1 more source

Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion

open access: yesDemonstratio Mathematica, 2020
In this paper, we study the Hyers-Ulam stability of a nonautonomous semilinear reaction-diffusion equation. More precisely, we consider a nonautonomous parabolic equation with a diffusion given by the fractional Laplacian. We see that such a stability is
Villa-Morales José
doaj   +1 more source

Fixed point Theorem for Interpolative Mappings in F-Mv-Metric Space with an Application

open access: yesTopological Algebra and its Applications, 2022
The aim of this paper is to prove fixed point results for Interpolativemappings in F-Mv-metric spaces with an application which cannot be obtained from the corresponding results in metric spaces.
Wangwe Lucas
doaj   +1 more source

A note on matrices mapping a positive vector onto its element-wise inverse

open access: yes, 2017
For any primitive matrix $M\in\mathbb{R}^{n\times n}$ with positive diagonal entries, we prove the existence and uniqueness of a positive vector $\mathbf{x}=(x_1,\dots,x_n)^t$ such that $M\mathbf{x}=(\frac{1}{x_1},\dots,\frac{1}{x_n})^t$.
Labbé, Sébastien
core   +1 more source

Contraction conditions using comparison functions on b-metric spaces

open access: yes, 2014
In this paper, we consider the setting of b-metric spaces to establish results regarding the common fixed points of two mappings, using a contraction condition defined by means of a comparison function.
W. Shatanawi, A. Pitea, Rade Lazovic
semanticscholar   +1 more source

A New Approach of Graphical Presentation in C∗‐Algebra‐Valued b‐Metric Spaces With an Application

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this paper, we introduced the new concept of a graphical presentation approach in C∗‐algebra‐valued b‐metric space (C∗AVbM‐space). We studied some new modified contraction conditions for single‐valued mappings in C∗AVbM‐spaces and proved the uniqueness of fixed point (FP) results in the said space with nontrivial illustrative examples.
Faiz Ullah   +4 more
wiley   +1 more source

Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application

open access: yesOpen Mathematics, 2017
The purpose of this paper is to present some existence results for coupled fixed point of a (φ,ψ) —contractive condition for mixed monotone operators in metric spaces endowed with a directed graph.
Kir Mehmet   +2 more
doaj   +1 more source

Cyclic weak ϕ iterated function system

open access: yesTopological Algebra and its Applications, 2022
In this article, we are considering the cyclic weak ϕ-contraction and prove that the result is also true in Hausdorff metric space. We are constructing a cyclic weak ϕ iterated function system (IFS), which gives the self-referential set or attractor ...
Ullah Kifayat, Katiyar S. K.
doaj   +1 more source

An operator-theoretical treatment of the Maskawa-Nakajima equation in the massless abelian gluon model

open access: yes, 2014
The Maskawa-Nakajima equation has attracted considerable interest in elementary particle physics. From the viewpoint of operator theory, we study the Maskawa-Nakajima equation in the massless abelian gluon model.
Bach   +23 more
core   +1 more source

Controlled Metric Space and Fixed Point Theorems for Jaggi–Suzuki–Type Hybrid Contraction

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this paper, we introduce a new notion of generalized Jaggi–Suzuki–type hybrid contraction in the setting of controlled metric space and prove some fixed point theorems by making use of the same. A suitable example is also provided to prove the validity of our results.
Swati Parashar   +4 more
wiley   +1 more source

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