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.

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.

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.

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.

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.

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.

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.

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...

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.