We introduce the Jungck-multistep iteration and show that it converges strongly to the unique common fixed point of a pair of weakly compatible generalized contractive-like operators defined on a Banach space. As corollaries, the results show that the Jungck-Mann, Jungck-Ishikawa, and Jungck-Noor iterations can also be used to approximate the common fixed points of such maps. The results are im...

and Applied Analysis3[6] J.-H. He, “Variational iteration method—a kind of non-linearanalytical technique: some examples,” International Journal ofNon-Linear Mechanics, vol. 34, no. 4, pp. 699–708, 1999.[7] J.-H. He, “Variational iteration method-Some recent resultsand new interpretations,” Journal of Computational and AppliedMathematics, vol. 207, no. 1, pp. 3–17, 2...

The Waterfall model has dominated software development for many years, but iteration of processes is catching in. There is now a number of well-established iterative development process models that can be classified according to the levels where iteration is applied. Iteration can improve validation and verification by allowing earlier quality feedback. Moreover, there seems to be a secret marr...

1) MSc of Biochemistry,Tehran Payame Noor University, Isfahan Cardiovascular Research Center,Isfahan University of Medical Sciences 2) BSc of Biology, Isfahan Payame Noor University 3) PhD of Biochemistry, Associate Prof., Isfahan Cardiovascular Research Center, Isfahan University of Medical Sciences 4) PhD of Genetic engineering, Tabriz University 5) MSc of Biochemistry,Tehran Payame Noor univ...

In a recent paper, Noor and Noor [K. Inayat Noor, M. Aslam Noor, Predictor–corrector Halley method for nonlinear equations, Appl. Math. Comput., in press, doi:10.1016/j.amc.11.023] have suggested and analyzed a predictor–corrector method Halley method for solving nonlinear equations. In this paper, we modified this method by using the finite difference scheme, which has a quintic convergence. W...

We introduce iteration in process algebra by means of (the binary version of) Kleene's star operator: x y is the process that chooses between x and y, and upon termination of x has this choice again. It is proved that adding respectively interleaving, communication and abstraction operators increases expressivity up to the regular processes. However, if the distinction between (successful) term...

In this paper, first we use an example to show the efficiency of $M$ iteration process introduced by Ullah and Arshad [4] for approximating fixed points of Suzuki generalized nonexpansive mappings. Then by using $M$ iteration process, we prove some strong and $Delta -$convergence theorems for Suzuki generalized nonexpansive mappings in the setting of $CAT(0)$ Spaces. Our results are the extensi...