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...

‎in this article‎, ‎we introduce a new type iterative scheme for‎ ‎approximating common fixed points of two asymptotically‎ ‎nonexpansive mappings is defined‎, ‎and weak and strong convergence‎ ‎theorem are proved for the new iterative scheme in a uniformly‎ ‎convex banach space‎. ‎the results obtained in this article‎ ‎represent an extension as well as refinement of previous known‎ ‎resu...

The aim of this article is to establish some strong convergence theorems of three-step iteration process with errors for approximating common fixed point for generalized asymptotically quasi-nonexpansive mappings and also establish a weak convergence theorem by using Opial’s [11] condition for said iteration scheme and mappings in the framework of Banach spaces. The results presented in this pa...

The paper is concerned with the solution of nonlinear ill-posed problems by methods that utilise the second derivative. A general predictor{corrector approach is developed; one which avoids solving quadratic equations during the iteration process. Combining regularisation of each iteration step with an adequate stopping condition leads to a general regularisation scheme for nonlinear equations....

We present a modified version of the infeasible-interior- We present a modified version of the infeasible-interior-point algorithm for monotone linear complementary problems introduced by Mansouri et al. (Nonlinear Anal. Real World Appl. 12(2011) 545--561). Each main step of the algorithm consists of a feasibility step and several centering steps. We use a different feasibility step, which tar...

Using the original two-step iteration process, we develop a conservative finitedifference scheme for the problem of femtosecond pulse propagation in semiconductor under the action of an external electric field. Its advantages consist in its applicability for the problem with non-uniform boundary conditions and it possesses also a property of asymptotic stability. Therefore, it is possible to pr...