and Applied Analysis 3 Definition 2.7. Let X,F, t be a Menger space, and let T : X → X be a selfmapping. For each p ∈ X, x > 0 and n ∈ N, let M ( p, x, n ) min { FTkp,Tlp x : k, l ≤ n and k, l ∈ Z } , M1 ( p, x, n ) min { FTkp,Tlp x : k, l ≤ n and k, l ∈ N } , M2 ( p, x, n ) min { Fp,Tlp x : l ≤ n and l ∈ N } , O ( p, n ) { Tp : k ≤ n and k ∈ Z } , O ( p,∞ { Tp : k ∈ Z } , 2.3 where it is under...

In this paper, a rigorous method to compute Floquet normal forms of fundamental matrix solutions of non-autonomous linear differential equations with periodic coefficients is introduced. The Floquet normal form of a fundamental matrix solution Φ(t) is a canonical decomposition of the form Φ(t) = Q(t)e, where Q(t) is a real periodic matrix and R is a constant matrix. To compute rigorously the Fl...

We introduce the concept of (EA) property and occasional w-compatibility for hybrid pair F : X × X → 2 (X) and f : X → X. We also introduce common (EA) property for two hybrid pairs F, G : X → 2 (X) and f, g : X → X. We establish some common coupled fixed point theorems for two hybrid pairs of mappings under φ-ψ contraction on noncomplete metric spaces. An example is also given to validate our ...

In 2006, I. Beg and M. Abbas have studied the existence of coincidence and common fixed points for two mappings satisfying a weak contractive condition. Their results were extended in 2008 by A. Azam and M. Shakeel to the case of three mappings. Recently M. Abbas and D. Dorić employed the contractive conditions introduced in [Q. Zhang and Y. Song, Fixed point theory for generalized φ-weak contr...

We define a general concept of a network of analogue modules connected by channels, processing data from a metric space A, and operating with respect to a global continuous clock T. The inputs and outputs of the network are continuous streams u : T → A, and the input-output behaviour of the network with system parameters from A is modelled by a function Φ : C[T, A]×Ar → C[T, A] (p, q > 0, r ≥ 0...

We define a general concept of a network of analogue modules connected by channels, processing data from a metric space A, and operating with respect to a global continuous clock . The inputs and outputs of the network are continuous streams u : → A, and the input-output behaviour of the network with system parameters from A is modelled by a function Φ : C[ , A]×A → C[ , A] (p, q > 0, r ≥ 0), w...