Results 21 to 30 of about 364 (198)
Connected choice and the Brouwer fixed point theorem [PDF]
Journal of Mathematical Logic, 2018 We study the computational content of the Brouwer Fixed Point Theorem in the Weihrauch lattice. Connected choice is the operation that finds a point in a non-empty connected closed set given by negative information. One of our main results is that for any fixed dimension the Brouwer Fixed Point Theorem of that dimension is computably equivalent to ...
Vasco Brattka +3 more
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Fixed Point Theory and Applications, 2004 We propose, in the general setting of topological spaces, a definition of two-dimensional oriented cell and consider maps which possess a property of stretching along the paths with respect to oriented cells. For these maps, we prove some theorems on the
Fabio Zanolin, Duccio Papini
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Discrete fractional order two-point boundary value problem with some relevant physical applications
Journal of Inequalities and Applications, 2020 The results reported in this paper are concerned with the existence and uniqueness of solutions of discrete fractional order two-point boundary value problem.
A. George Maria Selvam +4 more
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Existence of Solutions of a Nonlocal Elliptic System via Galerkin Method
Abstract and Applied Analysis, 2012 By means of the Galerkin method and by using a suitable version of the Brouwer fixed-point theorem, we establish the existence of at least one positive solution of a nonlocal elliptic N-dimensional system coupled with Dirichlet boundary conditions.
Alberto Cabada +1 more
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Positive solutions of a nonlinear algebraic system with sign-changing coefficient matrix
Advances in Difference Equations, 2020 Existence of positive solutions for the nonlinear algebraic system x = λ G F ( x ) $x=\lambda GF ( x ) $ has been extensively studied when the n × n $n\times n$ coefficient matrix G is positive or nonnegative.
Yanping Jia +3 more
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Journal of Inequalities and Applications, 2022 A thermostat model described by a second-order fractional difference equation is proposed in this paper with one sensor and two sensors fractional boundary conditions depending on positive parameters by using the Lipschitz-type inequality.
Jehad Alzabut +5 more
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A common fixed point theorem and its applications in abstract convex spaces
AIMS MathematicsFirst, this paper introduces a family of generalized equi-KKM mappings and the concept of quasi-abstract convexity (concavity) defined by parameter multi-valued mappings in abstract convex spaces that satisfy the $ H_0 $-condition.
Shunyou Xia, Chongyi Zhong, Chunrong Mo
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Bulletin of Mathematical SciencesIn this paper, we examine the applicability of the Lagrange Multiplier Rule, specifically the Karush–Kuhn–Tucker Theorem, to investigate the existence of fixed points and zeros of certain potential mappings between finite and infinite spaces.
Marek Galewski
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Multistability in a Multidirectional Associative Memory Neural Network with Delays
Journal of Applied Mathematics, 2013 This paper focuses on the multidirectional associative memory (MAM) neural networks with m fields which is more advanced to realize associative memory.
Min Wang, Tiejun Zhou
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