Results 1 to 10 of about 364 (198)
Variations on the Brouwer Fixed Point Theorem: A Survey [PDF]
Mathematics, 2020 This paper surveys some recent simple proofs of various fixed point and existence theorems for continuous mappings in R n
Jean Mawhin
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Application of the Brouwer and the Kakutani fixed-point theorems to a discrete equation with a double singular structure [PDF]
Fixed Point Theory and Applications, 2018 Applying the method consisting of a combination of the Brouwer and the Kakutani fixed-point theorems to a discrete equation with a double singular structure, that is, to a discrete singular equation of which the denominator contains another discrete ...
Minoru Tabata, Nobuoki Eshima
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KKM implies the Brouwer fixed point theorem: Another proof
Results in Nonlinear Analysis, 2020 It is well-known that the Brouwer fixed point theorem (BFPT), the weak Sperner combinatorial lemma, and the Knaster-Kuratowski-Mazurkiewicz (KKM) theorem are mutually equivalent and have scores of equivalent formulations and several thousand applications.
Sehie Park
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Existence of Solutions and Algorithm for a System of Variational Inequalities
Fixed Point Theory and Applications, 2010 We obtain some existence results for a system of variational inequalities (for short, denoted by SVI) by Brouwer fixed point theorem. We also establish the existence and uniqueness theorem using the projection technique for the SVI and suggest an ...
Yali Zhao +3 more
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Fixed point theorems in R-metric spaces with applications
AIMS Mathematics, 2020 The purpose of this paper is to introduce the notion of R-metric spaces and give a real generalization of Banach fixed point theorem. Also, we give some conditions to construct the Brouwer fixed point. As an application, we find the existence of solution
Siamak Khalehoghli +2 more
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On the Two-Dimensional Version of the Sperner Lemma and Brouwer’s Theorem
Annales Mathematicae Silesianae, 2022 In this work the Brouwer fixed point theorem for a triangle was proved by two methods based on the Sperner Lemma. One of the two proofs of Sperner’s Lemma given in the paper was carried out using the so-called index.
Barcz Eugeniusz
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Journal of Function Spaces, 2022 In this paper, the existence and uniqueness of solutions for a nonlinear fractional differential equation with a two-point boundary condition in a Banach space are investigated by using the contraction mapping principle and the Brouwer fixed-point ...
Shayma Adil Murad
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On Krasnoselskii's Cone Fixed Point Theorem
Fixed Point Theory and Applications, 2008 In recent years, the Krasnoselskii fixed point theorem for cone maps and its many generalizations have been successfully applied to establish the existence of multiple solutions in the study of boundary value problems of various types.
Man Kam Kwong
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Robust Stability of DC Microgrid Under Distributed Control
IEEE Access, 2022 Compared with AC microgrid, DC microgrid has attracted more and more attention due to their high reliability and simple control. In this paper, we analyze the existence and stability of equilibrium of DC microgrid under distributed control.
Zhangjie Liu, Jiawei Li
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The existence of solutions for the modified $(p(x),q(x))$-Kirchhoff equation
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We consider the Dirichlet problem \begin{equation*} - \Delta^{K_p}_{p(x)} u(x) - \Delta^{K_q}_{q(x)} u(x) = f(x,u(x), \nabla u(x)) \quad \mbox{in }\Omega, \quad u\big{|}_{\partial \Omega}=0, \end{equation*} driven by the sum of a $p(x ...
Giovany Figueiredo, Calogero Vetro
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