نتایج جستجو برای: banach fixed point theorem

تعداد نتایج: 813730  

Journal: :Neural networks : the official journal of the International Neural Network Society 2004
Mehbuba Rehim Haijun Jiang Zhidong Teng

In this paper, a class of nonautonomous cellular neural networks is studied. By constructing a suitable Liapunov functional, applying the boundedness theorem for general functional-differential equations and the Banach fixed point theorem, a series of new criteria are obtained on the boundedness, global exponential stability, and existence of periodic solutions.

Journal: :Symmetry 2022

The solution to a sequential fractional differential equation with affine periodic boundary value conditions is investigated in this paper. existence theorem of established by means the Leray–Schauder fixed point and Krasnoselskii theorem. What more, uniqueness demonstrated via Banach contraction mapping principle. In order illustrate main results, two examples are listed.

2008
HASSANE BOUZAHIR

In this paper, we prove a theorem on local existence and uniqueness of integral solutions to a class of partial neutral functional differential equations with infinite delay. Our method of proof is based on the integrated semigroup theory and the well known Banach fixed point theorem.

2012
Xintong GE Yuanguo ZHU

Uncertain delay differential equation is a type of functional differential equations driven by canonical process. This paper presents a method to solve an uncertain delay differential equation, and proves an existence and uniqueness theorem of solution for uncertain delay differential equations under Lipschitz condition and linear growth condition by Banach fixed point theorem.

2010
Nidhi Joshi

In this paper, we mainly prove a coincidence theorem and common fixed point theorem in M-fuzzy metric spaces which improve the results of Som [11] who proved his results on Metric and Banach spaces. Also we improve and extend some known results of Veerapandi et al. [12] by extending three mappings to four weak compatible mappings. Mathematics Subject Classification: 47H10, 54H25.

2007
Mouffak Benchohra Sotiris K. Ntouyas

In this paper, we investigate the existence of solutions on unbounded domain to a hyperbolic differential inclusion in Banach spaces. We shall rely on a fixed point theorem due to Ma which is an extension to multivalued between locally convex topological spaces of Schaefer’s theorem.

In this paper we formulate and prove some xed and common xed pointTheorems for self-mappings dened on complete lower Transversal functionalprobabilistic spaces.

Journal: :Advances in Difference Equations 2021

Abstract In this article, we provide the existence result for functional integral equations by using Petryshyn’s fixed point theorem connecting measure of noncompactness in a Banach space. The results enlarge corresponding several authors. We present fascinating examples equations.

2007
Victor Klee

In [4], Ryll-Nardzewski gave what he called an 'old-fashioned' proof of his famous fixed point theorem. The purpose of the present note is to give an even more old-fashioned proof of the fixed point theorem. In fact, our proof uses nothing more than a category argument and the classical Krein-Milman theorem. Our terminology and notation shall be those of Kelley, Namioka et al. [2]. The followin...

Journal: :Advances in the theory of nonlinear analysis and its applications 2022

In this paper we study existence, uniqueness and other properties of solutions Volterra type ABC fractional integral equations. We have used Banach fixed point theorem with Bielecki norm Gronwall inequality in the frame for proving our results.

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