Fixed Point Theorem for Nonexpansive Semigroups on Banach Space [PDF]
Proceedings of the American Mathematical Society, 1994 Let C be a nonempty closed convex subset of a uniformly convex Banach space, and let S be a semitopological semigroup such that
Takahashi, Wataru, Jeong, Doo Hoan
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Banach Fixed Point Theorem in Extended bv(s)-Metric Spaces
Computer Sciences & Mathematics Forum, 2023 We define the class of extended bv(s)-metric spaces by replacing the real number s≥1 with a strictly increasing continuous function ϕ in the definition of a bv(s)-metric space.
Anil Kumar
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Ultrametrics, Banach’s fixed point theorem and the Riordan group
Discrete Applied Mathematics, 2008 This paper interprets the reciprocation process in \(\mathbb K[[x]]\) as a fixed point problem related to contractive functions for certain adequate ultrametric spaces. As application, a dynamical interpretation of certain arithmetical triangles introduced herein is given. As a special case of the construction given in this paper, the so-called Riordan
Ana Luzón, Manuel A Moron
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A generalization of Ascoli–Arzelá theorem in Cn with application in the existence of a solution for a class of higher-order boundary value problem [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – A generalization of Ascoli–Arzelá theorem in Banach spaces is established. Schauder's fixed point theorem is used to prove the existence of a solution for a boundary value problem of higher order. The authors’ results are obtained under, rather,
Salah Benhiouna +2 more
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Existence and uniqueness of integrable solutions to fractional Langevin equations involving two fractional orders with initial value problems [PDF]
Mathematica Bohemica, 2021 We study the existence and uniqueness of integrable solutions to fractional Langevin equations involving two fractional orders with initial value problems. Our results are based on Schauder's fixed point theorem and the Banach contraction principle fixed
Choukri Derbazi, Hadda Hammouche
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System of fractional boundary value problem with p-Laplacian and advanced arguments
Advances in Difference Equations, 2021 In this paper, we discuss the existence and multiplicity of positive solutions for a system of fractional differential equations with boundary condition and advanced arguments.
Amina Mahdjouba +2 more
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Concavity of solutions of a 2n-th order problem with symmetry [PDF]
Opuscula Mathematica, 2013 In this article we apply an extension of a Leggett-Williams type fixed point theorem to a two-point boundary value problem for a \(2n\)-th order ordinary differential equation.
Abdulmalik Al Twaty, Paul W. Eloe
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The Monotone Contraction Mapping Theorem
Journal of Mathematics, 2020 In this paper, the fixed-point theorem for monotone contraction mappings in the setting of a uniformly convex smooth Banach space is studied. This paper provides a version of the Banach fixed-point theorem in a complete metric space.
Joseph Frank Gordon
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Stability of the Fréchet Equation in Quasi-Banach Spaces
Mathematics, 2020 We investigate the Hyers–Ulam stability of the well-known Fréchet functional equation that comes from a characterization of inner product spaces. We also show its hyperstability on a restricted domain. We work in the framework of quasi-Banach spaces.
Sang Og Kim
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Existence Solution of Volterra Hammerstein Equation in L^p Space [PDF]
Kirkuk Journal of Science, 2019 In this paper we use the fixed-point theorem of Latrach, Taoudi and Zeghal under some conditions to find a solution for Volterra_Hammerstein integral equation in the Banach space L^p ([0,m],R). We use this fixed point theorem with new assumptions.
Mahmood Shihab
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