This article aims at investigating stability properties for a class of discrete fractional equations with anti-periodic boundary conditions order \(\delta=(3,4]\). Utilizing Contraction mapping principle and fixed point theorem due to Brouwer, new criteria the uniqueness existence solutions are developed two types Ulam analysed. The theoretical outcomes corroborated examples.

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.

One of the active areas in supercomputer research is concerned with mapping programs onto networks of processors. In this paper a variant of the mapping problem, namely, systolic contractions of program graphs are considered. The notion of time links is introduced to mechanize the contraction process, the timing of information flow between processors is modelled in terms of fundamental loop and...

In the present work, we first discuss definition of a multivalued ($\psi$-$G$)-contraction mapping in metricspace endowed with graph as introduced \cite{1} and suggest generalization. Then, prove common fixed point theorem for mappings partial metric spaces graph. An example application illustrates main existence result some known results are derived.

where E∗ denotes the dual space of E and 〈·, ·〉 denotes the generalized duality pairing. If E∗ is strictly convex, then J is single valued. In the sequel, we will denote the single-value duality mapping by j. Let C be a nonempty closed convex subset of E. Recall that a self-mapping f : C → C is said to be a contraction if there exists a constant δ ∈ 0, 1 such that ∥f x − f y ∥∥ ≤ δ‖x − y‖, ∀x, ...

xn+k – qnxn = fn, n ∈N0, where k ∈N, (qn)n∈N0 , (fn)n∈N0 ⊂C, in the case qn = q, n ∈N0, q ∈C \ {0}. Using the formula, we show the existence of a unique bounded solution to the equation when |q| > 1 and supn∈N0 |fn| <∞ by finding a solution in closed form. By using the formula for the bounded solution we introduce an operator that, together with the contraction mapping principle, helps in showi...

We discuss the dynamics of the correspondences associated to those plane curves whose local sections contract the Poincaré metric in a hyperbolic planar domain. 1. Introduction. We consider certain 1-dimensional, holomorphic correspondences of hyperbolic type, which we call " contractive curves. " These are curves whose local sections contract the Poincaré metric of a hyperbolic planar domain. ...

In this paper, by using the contraction mapping principle and constructing a suitable Lyapunov functional, we established a set of easily applicable criteria for the existence, uniqueness and global attractivity of positive periodic solution and positive almost periodic solution of a neutral multi-species Logarithmic population model with multiple delays and impulses. The results improve and ge...

The following conjecture generalizing the Contraction Mapping Theorem was made by Stein in [9]: Let (X, ρ) be a complete metric space and let F = {T1, . . . , Tn} be a finite family of self-maps of X. Suppose there is a constant γ ∈ (0, 1) such that for any x, y ∈ X there exists T ∈ F with ρ(T (x), T (y)) ≤ γρ(x, y). Then some composition of members of F has a fixed point. In this paper we disp...

In this paper we give a fixed-point theorem for fuzzy contractive mappings in the George and Veeramani p-complete fuzzy metric spaces.