We will establish set-valued version of Suzuki's fixed point theorem when the underling space is a complete $b$-metric. Our method enable us to prove set-valued versions of Hardy-Rogers and \\^{C}iri\\'{c} fixed point theorems for b-metric spaces....

We will apply the successive approximation method to give a stopping

rule for mathcal{K} such that mathcal{K} be integral operator

on complete metric space (X, |. |_{ infty}) , that

X:=C([a,b], ...

In this paper, a novel modification of the spectral-homotopy analysis method (SHAM) technique for solving highly nonlinear initial value problems that model systems with chaotic and hyper-chaotic behaviour is presented. ...

In this article we approximate the solutions of the nonlinear Fredholm integral equations of the second kind, by the method based on using the properties of RH wavelets and matrix operator. Also, the Banach fixed point theorem guarantees...

. The main tools for error analysis is Banach fixed point theorem. Furthermore, the order of convergence is analyzed. The algorithm to compute the solutions and some numerical examples are included to support the theory....

the Banach fixed point theorem, we get a n upper bound for the error of our method. Since our examples in this article are selected from different references, so the numerical results obtained here can be compared with other numerical methods....

In this work, we present a method for numerical approximation of fixed point operator, particularly

for the mixed Volterra–Fredholm integro-differential equations. The main tool for error analysis is the Banach fixed point theorem...

-wavelets are used as basis functions to approximate the solution. Also, using the Banach fixed point theorem, some results concerning the error analysis are obtained. Finally, some numerical examples show the implementation and accuracy of this method....

tools for error analysis is Banach fixed point theorem. Furthermore, the order of convergence is analyzed. Some numerical examples are included to support the theory....

In this paper we have introduced a computational method for a class of two-dimensional nonlinear Fredholm integral equations, The method is based on 2D Haar wavelet. Also, Banach fixed point theorem guarantees that under certain assumptions...