Results 61 to 70 of about 6,524,644 (115)

Quantitative maximal L2$L^2$‐regularity for viscous Hamilton–Jacobi PDEs in 2D and Mean Field Games

Bulletin of the London Mathematical Society, Volume 58, Issue 11, November 2026.
Abstract We discuss quantitative Calderón–Zygmund estimates in W2,2$W^{2,2}$ for 2D viscous Hamilton–Jacobi equations with natural growth in the gradient. We apply the result to obtain the existence of classical solutions for stationary second‐order mean field games systems in 2D with (defocusing) coupling behaving like mα$m^\alpha$ for any α>0$\alpha >
Alessandro Goffi
wiley   +1 more source

Measures of weak noncompactness and fixed point theory in banach algebras satisfying condition (P)

, 2017
The aim of this paper is to prove some new fixed point theorems in a nonempty closed convex subset of a Banach algebra satisfying a sequential condition (P) in a weak topology setting.peer ...
O’Regan, Donal, Ben Amar, Afif
core   +1 more source

Johnson–Schwartzman gap labeling for metric and discrete decorated graphs

Journal of the London Mathematical Society, Volume 114, Issue 5, November 2026.
Abstract We study Schrödinger operators on metric and discrete decorated graphs. The values taken by the integrated density of states (IDS) on spectral gaps are called gap labels. A natural question is which gap labels can occur. We answer this for graphs arising from uniquely ergodic one‐dimensional dynamical systems by proving Johnson–Schwartzman gap‐
Ram Band, Gilad Sofer
wiley   +1 more source

Applications of Fixed Point Theorems to Solutions of Operator Equations in Banach Spaces

, 2022
In this paper we use Browder’s and Gohde’s fixed point theorem, Kirk’s fixed point theorem and the Sadovskii fixed point theorem to obtain solutions of operator equations in Banach ...
Singh, Neera
core  

A fixed point theorem for L1 spaces [PDF]

, 2011
We prove a fixed point theorem for a family of Banach spaces, notably for L^1. Applications include the optimal answer to the "derivation problem" for group algebras which originated in the 1960s.EGGNational ...
Monod, Nicolas, Gelander, Tsachik, Bader, Uri, T. Gelander, U. Bader, N. Monod   +5 more
core   +2 more sources

Caristi Fixed Point Theorem in Metric Spaces with a Graph [PDF]

, 2014
We discuss Caristi’s fixed point theorem for mappings defined on a metric space endowed with a graph. This work should be seen as a generalization of the classical Caristi’s fixed point theorem.
M. R. Alfuraidan, M. A. Khamsi, Khamsi, Mohamed A., Alfuraidan, Monther   +3 more
core   +1 more source

Approximate Fixed Point Theorems in Banach Spaces with Applications in Game Theory [PDF]

In this paper some new approximate fixed point theorems for multifunctions in Banach spaces are presented and a method is developed indicating how to use approximate fixed point theorems in proving the existence of approximate Nash equilibria for non ...
Brânzei, R., Tijs, S.H., Scalzo, V., Morgan, J.   +3 more
core  

Banach Fixed Point Theorem

, 2020
U ovom završnom radu rećićemo nešto o Banachovom kontrakcijskom principu koji je poznat pod imenom Banachovom teorem o fiksnoj točki. Denirat ćemo potpunost metrič- kih prostora i navesti neke primjere.
Derner, Ana
core   +1 more source

Application of Fixed Point Theorem

, 1984
The objective of this paper is to show how Banach-Cacciopoli fixed point theorem can be applied to obtain Inverse Function Theorem, Implicity Function Theorem, the exponential of matrices and differential ...
Bhattacharya, Nandini
core  

On generalized coupled fixed points with applications to the solvability of coupled systems of nonlinear quadratic integral equations

, 2018
In this paper, we introduce the notion of generalized coupled fixed points and, as a consequence of Darbo’s fixed point theorem associated to an abstract measure of noncompactness, we present a result about the existence of this class of coupled fixed ...
Darwish, Mohamed Abdalla, Sadarangani Sadarangani, Kishin Bhagwands   +1 more
core   +1 more source