Results 51 to 60 of about 16,666 (188)

A Dislocated Quasi-Normed Space and Its Completeness for A Fixed Point Theorem

مجلة بغداد للعلوم
A concept of a dislocated quasi-normed space is introduced in this paper which is a spatial case of the concept of a quasi-normed space and related to the notion of a dislocated quasi-metric space.
Jawad Kadhim K. Al-Delfi
doaj   +1 more source

Matsumura‐Type Estimates and Global Solutions of a Fractional Wave Equation With Nonlocal Nonlinearity

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9967-9983, June 2026.
ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
wiley   +1 more source

On an abstract nonlinear functional second order Volterra integrodifferential equation

Ratio Mathematica
In this paper, we prove the existence, uniqueness and boundedness of solutions of a nonlinear functional second order Volterra integrodifferential equation in a general Banach space.
Pramod M Dhakane
doaj   +1 more source

Comments on some recent generalization of the Banach contraction principle

Journal of Inequalities and Applications, 2016
We study Browder and CJM contractions of integral type. As a result, we give an alternative proof of some recent generalization of the Banach contraction principle by Jleli and Samet.
Tomonari Suzuki
doaj   +1 more source

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

Ulam–Hyers stabilities of a differential equation and a weakly singular Volterra integral equation

Journal of Inequalities and Applications, 2021
In this work we study the Ulam–Hyers stability of a differential equation. Its proof is based on the Banach fixed point theorem in some space of continuous functions equipped with the norm ∥ ⋅ ∥ ∞ $\|\cdot \|_{\infty }$ . Moreover, we get some results on
Ozgur Ege, Souad Ayadi, Choonkil Park
doaj   +1 more source

A generalization of Nadler fixed point theorem [PDF]

, 2015
Jleli and Samet gave a new generalization of the Banach contraction principle in the setting of Branciari metric spaces [Jleli, M. and Samet, B., A new generalization of the Banach contraction principle, J. Inequal. Appl., 2014:38 (2014)]. The purpose of
Vetro, F.
core  

Optimal Control of the Viscous Wave Equation via the Pontryagin Maximum Principle

Numerical Methods for Partial Differential Equations, Volume 42, Issue 3, May 2026.
ABSTRACT A tracking‐type optimal control problem governed by the viscous wave equation with a distributed‐source control and L2$$ {L}^2 $$‐L1$$ {L}^1 $$ control costs is investigated. For this class of PDE‐constrained linear‐convex problems, a Pontryagin maximum principle (PMP) in the PDE setting is derived, and it is shown that the pointwise ...
A. Borzì, S. Roy
wiley   +1 more source

Reduced Assumption in the Banach Contraction Principle [PDF]

Journal of Mathematics and Statistics, 2006
In this study we introduce a novel class of normed spaces called weakly Cauchy normed spaces not necessarily complete in general and proved the existence of a fixed point of contraction mappings in these spaces, this is weaker assumption than the completeness assumption imposed on the given normed space on the other side the contraction condition valid
openaire   +1 more source

Integrating Experimental Imaging and (Quantum‐Deformation)‐Curvature Dynamics in Bleb Morphogenesis

Engineering Reports, Volume 8, Issue 4, April 2026.
We propose a (q,τ)$$ \left(q,\tau \right) $$‐fractional geometric flow model for cell blebbing that incorporates hereditary memory and viscoelastic effects in curvature‐driven membrane dynamics. Image‐based measurements of bleb geometry are coupled with fractional evolution equations and validated numerically.
Rabha W. Ibrahim, Dumitru Baleanu, Soheil Salahshour   +2 more
wiley   +1 more source