In this paper we investigate common xed point theorems for contraction mapping in fuzzy metric space introduced by Gregori and Sapena [V. Gregori, A. Sapena, On xed-point the- orems in fuzzy metric spaces, Fuzzy Sets and Systems, 125 (2002), 245-252].

In this paper, we prove the existence and uniqueness of solution to the impulsive fuzzy functional differential equations under generalized Hukuhara differentiability via the principle of contraction mappings. Some examples are provided to illustrate the result.

The main object of this paper is to investigate the existence solutions for a self-adjoint coupled system nonlinear second-order ordinary differential equations equipped with nonlocal multi-point boundary conditions on an arbitrary domain. We apply Leray–Schauder alternative, Schauder fixed point theorem and Banach contraction mapping principle in order derive results, which are then well-illus...

Abstract This paper deals with the global well-posedness and blow-up phenomena for a strongly damped semilinear wave equation time-varying source singular dissipative terms under null Dirichlet boundary condition. On basis of cut-off technique, multiplier method, contraction mapping principle, modified potential well we establish local obtain threshold between existence nonexistence solution (i...

The present paper is aimed at solving initial value problems by the contraction-mapping principle in case an interior estimate is true in the function space under consideration. reziume. naSr omis mizania saCKisi amocanis kumSviTi asaxvis prin-cipiT amoxsna im SemT xvevaSi, roca gansaxil vel sivr ceSi samar Tl iania pirvel i rigis Carmoebu l ebis SePaseba gansazG vr is aris SigniT mo-Tavsebu l ...

     Dx(t) + f(t, x(t), x(t)) = 0, t ∈ (0, 1), x(0) = ∫ 1 0 g0(s, x(s))ds, x(1) = ∫ 1 0 g1(s, x(s))ds, x(0) = 0, k = 2, 3, · · · , [α]− 1. By means of the Banach contraction mapping principle, some new results on the existence and uniqueness are obtained. It is interesting to note that the sufficient conditions for the existence and uniqueness of solutions are dependent on the order α.

In this paper, we study the nonlinear second-order impulsive qk-difference equations with Sturm-Liouville type, in which nonlinear team and impulsive teams are dependent on first-order qk-derivatives. We obtain the existence and uniqueness results of solutions for the problem by Banach’s contraction mapping principle and Schaefer’s fixed point theorems. Finally, we give two examples to demonstr...

By using some solvability methods and the contraction mapping principle are investigated bounded, as well as periodic solutions to some classes of nonhomogeneous linear second-order difference equations on domains N0, Z \N2 and Z. The case when the coefficients of the equation are constant and the zeros of the characteristic polynomial associated to the corresponding homogeneous equation do not...

In this article, we study the steady generalized Navier-Stokes equations in a half-space in the setting of variable exponent spaces. We first establish variable exponent spaces of Clifford-valued functions in a half-space. Then, using this operator theory together with the contraction mapping principle, we obtain the existence and uniqueness of solutions to the stationary Navier-Stokes equation...