Results 61 to 70 of about 1,267,876 (189)

Some cohomological aspects of the Banach fixed point principle [PDF]

, 2011
summary:Let $T\colon X\to X$ be a continuous selfmap of a compact metrizable space $X$. We prove the equivalence of the following two statements: (1) The mapping $T$ is a Banach contraction relative to some compatible metric on $X$.
Janoš, Ludvík
core   +1 more source

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

Abstract 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, Mohamed Rossafi, El Miloudi Marhrani, Mohamed Aamri   +3 more
doaj   +1 more source

On Banach contraction principles in fuzzy metric spaces [PDF]

Fixed 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, Miñana, Juan-José, Sapena Piera, Almanzor   +2 more
openaire   +3 more sources

New Generalised Semi‐Analytical Approach for the Multidimensional Nonlinear Collisional Fragmentation Equations

International Journal for Numerical Methods in Fluids, Volume 98, Issue 8, Page 980-999, August 2026.
This work aims to develop a generalised and efficient semi‐analytical method that combines the Laplace decomposition method with Pade approximation (LDMPA) to solve multidimensional nonlinear integro‐partial differential equation. For a one‐dimension case, explicit (closed‐form) solutions for the number density functions are derived for the first time.
Somveer Keshav, Ashok Das, Sukhjit Singh, Randhir Singh, Mehakpreet Singh   +4 more
wiley   +1 more source

New extension of the Banach contraction principle to locally convex spaces and applications [PDF]

, 1988
In the paper, an important tool from fixed point theory, the Banach contraction principle, is extended to the more general setting where the spaces are Hausdorff locally convex and sequentially complete with calibrations Γ and the maps are not ...
Włlodarczyk, Kazimierz
core   +1 more source

A logical analysis of the generalized Banach contractions principle

Journal of Logic and Analysis, 2012
Let (X,d) be a complete metric space, m2 N\{0}, and 2 R with 0 < 1. A g-contraction is a mapping T :X! X such that for all x,y2X there is an i2 (1,m) with d(T i x,T i y)
openaire   +3 more sources

General Variational Formulation of Axisymmetric Capillary Bridges: Modeling Contact Angle Hysteresis and Capillary Forces

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 12, Page 4879-4892, 25 August 2026.
ABSTRACT This work presents a general framework for deriving the Young–Laplace equation and the Young's equations for an axisymmetric capillary bridge between two parallel plates by minimizing the system's total energy. These Young's equations naturally emerge as boundary conditions associated with the Young–Laplace equation.
Olivier Millet, Antoine Moreau, Antoine Logerot, Marc Médale   +3 more
wiley   +1 more source

Existence of mild solution for a class of coupled systems of neutral fractional integro-differential equations with infinite delay in Banach space

Advances in Difference Equations, 2019
We deal with a class of coupled systems of neutral fractional integro-differential equations with infinite delay in a Banach space in this paper. Based on the Banach contraction principle and Krasnoselskii’s fixed point theorem, some new sufficient ...
Juqing Liu, Kaihong Zhao
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

Journal 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, Sahar Mohamed Ali Abou Bakr, H. Abd El-Ghaffar, S. S. Solieman Almassri   +3 more
doaj   +1 more source

Null projections and noncommutative function theory in operator algebras

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract We study projections in the bidual of a C∗$\mathrm{C}^*$‐algebra B$B$ that are null with respect to a subalgebra A$A$, that is, projections p∈B∗∗$p\in B^{**}$ satisfying |φ|(p)=0$|\varphi |(p)=0$ for every φ∈B∗$\varphi \in B^*$ annihilating A$A$. In the separable case, A$A$‐null projections are precisely the peak projections in the bidual of A$
David P. Blecher, Raphaël Clouâtre
wiley   +1 more source