Results 11 to 20 of about 417,873 (251)
A converse to Banach's fixed point theorem and its CLS-completeness [PDF]
Symposium on the Theory of Computing, 2017 Banach's fixed point theorem for contraction maps has been widely used to analyze the convergence of iterative methods in non-convex problems. It is a common experience, however, that iterative maps fail to be globally contracting under the natural ...
C. Daskalakis +2 more
semanticscholar +1 more source
New Applications of Perov’s Fixed Point Theorem
Mathematics, 2022 The goal of this paper is to consider a differential equation system written as an interesting equivalent form that has not been used before. Using Perov’s fixed point theorem in generalized metric spaces, the existence and uniqueness of the solution are
Sorin Mureşan +2 more
doaj +1 more source
Coupled Fixed-Point Theorems in Theta-Cone-Metric Spaces
Journal of Mathematics, 2021 This paper gives further generalizations of some well-known coupled fixed-point theorems. Specifically, Theorem 3 of the paper is the generalization of the Baskar–Lackshmikantham coupled fixed-point theorem, and Theorem 5 is the generalization of the ...
Sahar Mohamed Ali Abou Bakr
doaj +1 more source
Brouwer's fixed-point theorem in real-cohesive homotopy type theory [PDF]
Mathematical Structures in Computer Science, 2015 We combine homotopy type theory with axiomatic cohesion, expressing the latter internally with a version of ‘adjoint logic’ in which the discretization and codiscretization modalities are characterized using a judgemental formalism of ‘crisp variables ...
Michael Shulman
semanticscholar +1 more source
Some New Generalization of Darbo’s Fixed Point Theorem and Its Application on Integral Equations
Mathematics, 2019 In this article, we propose some new fixed point theorem involving measure of noncompactness and control function. Further, we prove the existence of a solution of functional integral equations in two variables by using this fixed point theorem in Banach
Anupam Das, B. Hazarika, Poom Kumam
semanticscholar +1 more source
Generalization of Rakotch's fixed Point Theorem
Revista de Matemática: Teoría y Aplicaciones, 2011 In this paper we get some generalizations of Rakotch's results [10] using the notion of $\omega ?distancia$ on a metric ...
José R. Morales
doaj +1 more source
Manifestly diffeomorphism invariant classical Exact Renormalization Group [PDF]
JHEP 06 (2016) 012, 2016 We construct a manifestly diffeomorphism invariant Wilsonian (Exact) Renormalization Group for classical gravity, and begin the construction for quantum gravity. We demonstrate that the effective action can be computed without gauge fixing the diffeomorphism invariance, and also without introducing a background space-time.
arxiv +1 more source
On a Fixed Point Theorem of Kirk [PDF]
Proceedings of the American Mathematical Society, 1995 Let X be a reflexive Banach space, D an open and bounded subset of X, and T : D ¯ → X T:\bar D \to X a continuous mapping which is locally pseudocontractive on D.
Claudio H. Morales, Simba A. Mutangadura
openaire +1 more source
A fixed point theorem in partially ordered sets and some applications to matrix equations
, 2003 An analogue of Banach's fixed point theorem in partially ordered sets is proved in this paper, and several applications to linear and nonlinear matrix equations are discussed.
A. Ran, M. Reurings
semanticscholar +1 more source
On orthogonal sets and Banach fixed point theorem
, 2017 We introduce the notion of the orthogonal sets and give a real generalization of Banach’ fixed point theorem. As an application, we find the existence of solution for a first-order ordinary differential equation.
M. Gordji, M. Rameani, M. Sen, Y. Cho
semanticscholar +1 more source