Results 61 to 70 of about 16,666 (188)

Generalization of Banach Contraction Principle in Two Directions [PDF]

open access: yesJournal of Mathematics and Statistics, 2007
We showed that the generalized contraction mapping defined on a closed convex subset of a weakly Cauchy normed space has a unique fixed point. Moreover, the sequence of iterates of any element in the domain of the given mapping is converging strongly to the fixed point of such a mapping.
E. El-Shobaky   +2 more
openaire   +1 more source

Approximation of Dirac operators with δ‐shell potentials in the norm resolvent sense, II: Quantitative results

open access: yesMathematische Nachrichten, Volume 299, Issue 4, Page 704-763, April 2026.
Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt   +2 more
wiley   +1 more source

Macroscopic Market Making Games

open access: yesMathematical Finance, Volume 36, Issue 2, Page 352-373, April 2026.
ABSTRACT Building on the macroscopic market making framework as a control problem, this paper investigates its extension to stochastic games. In the context of price competition, each agent is benchmarked against the best quote offered by the others. We begin with the linear case.
Ivan Guo, Shijia Jin
wiley   +1 more source

New Fixed Point Theorems for θ‐ϕ-Contraction on Rectangular b-Metric Spaces

open access: yesAbstract and Applied Analysis, 2020
The Banach contraction principle is the most celebrated fixed point theorem and has been generalized in various directions. In this paper, inspired by the concept of θ‐ϕ-contraction in metric spaces, introduced by Zheng et al., we present the notion of θ‐
Abdelkarim Kari   +3 more
doaj   +1 more source

Fixed-point theorems of F ⋆ − ( ψ , ϕ ) ${F}^{\star}- ( \psi,\phi )$ integral-type contractive conditions on 1 E $1_{E}$ -complete multiplicative partial cone metric spaces over Banach algebras and applications

open access: yesJournal of Inequalities and Applications, 2023
In this paper, we introduce some user-friendly versions of integral-type fixed-point results and give some modifications of the classical Banach contraction principle by constructing a special type of contractive restrictions of integral forms for weak ...
Nashat Faried   +3 more
doaj   +1 more source

Fixed Points for Banach and Kannan Contractions in Modular Spaces with a Graph [PDF]

open access: yes, 2013
In this paper, we discuss the existence and uniqueness of fixed points for Banach and Kannan $\widetilde G$-$\rho$-contractions defined on modular spaces endowed with a graph without using the $\Delta_2$-condition or the Fatou property.Comment: 12 ...
Aghanians, Aris, Nourouzi, Kourosh
core  

Positive travelling fronts for reaction-diffusion systems with distributed delay

open access: yes, 2010
We give sufficient conditions for the existence of positive travelling wave solutions for multi-dimensional autonomous reaction-diffusion systems with distributed delay.
Faria, Teresa, Trofimchuk, Sergei
core   +1 more source

On Banach contraction principles in fuzzy metric spaces [PDF]

open access: yesFixed Point Theory, 2018
Valent´ın Gregori acknowledges the support of Ministry of Economy and Competitiveness of Spain under grant MTM MTM2015-64373-P. Almanzor Sapena acknowledges the support of Ministry of Economy and Competitiveness of Spain under grant TEC2013-45492-R.
Gregori Gregori, Valentín   +2 more
openaire   +4 more sources

Existence and Spectral Stability Analysis of Viscous‐Dispersive Shock Profiles for Isentropic Compressible Fluids of Korteweg Type

open access: yesStudies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT The system describing the dynamics of a compressible isentropic fluid exhibiting viscosity and internal capillarity in one space dimension and in Lagrangian coordinates, is considered. It is assumed that the viscosity and the capillarity coefficients are nonlinear smooth, positive functions of the specific volume, making the system the most ...
Raffaele Folino   +2 more
wiley   +1 more source

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