In this paper, we introduce a new Jungck-three step iterative scheme and call it modified three-step iteration process. A strong convergence theorem is proved using this iterative process for the class of generalized contractive-like operators introduced by Olatinwo [14] and Bosede [3] respectively, in a Banach space. The results obtained in this paper improve and generalize among others, the r...

We apply the modified variational iteration method MVIM for solving the singular and nonsingular initial and boundary value problems in this paper. The proposed modification is made by introducing Adomian’s polynomials in the correct functional. The suggested algorithm is quite efficient and is practically well suited for use in such problems. The proposed iterative scheme finds the solution wi...

The viscosity approximation methods are employed to establish strong convergence of the modified Mann iteration scheme to a common zero of a finite family of accretive operators on a strictly convex Banach space with uniformly Gâteaux differentiable norm. Our work improves and extends various results existing in the current literature. This is an open access article distributed under the Creati...

In this article, we also introduced two well-known computational techniques for solving the time-fractional Fornberg–Whitham equations. The methods suggested are modified form of variational iteration and Adomian decomposition by ?-Laplace. Furthermore, an illustrative scheme is to verify accuracy available methods. graphical representation exact derived results presented show approaches reliab...

In this paper, we consider an algebraic additive Schwarz iteration scheme for solving the nite-dimensional linear complementarity problem that involves an M-matrix. The scheme contains some existing algorithms as special cases. We establish monotone convergence of the iteration scheme under appropriate conditions. Moreover, using the concept of weak regular splitting, we estimate weighted max-n...

A new iteration scheme for computing the sign of a matrix which has no pure imaginary eigenvalues is presented. Then, by applying a well-known identity in matrix functions theory, an algorithm for computing the geometric mean of two Hermitian positive definite matrices is constructed. Moreover, another efficient algorithm for this purpose is derived free from the computation of principal matrix...

In this paper, new iterative schemes called Jungck-DI-Noor random scheme and Jungck-DI-SP are introduced studied. Also, stability convergence results were obtained without necessarily imposing sum conditions on the countably finite family of control sequences injectivity condition operators, which makes our to be more desirable in applications than ones studied paper several others currently li...