Sentence examples for modified iteration process from inspiring English sources

Very recently, Şahin and Başarir [7] modified iteration process (1.6) in a (operatorname{CAT}(0)) space as follows.

Now, consider the modified iteration process (2.1), one interesting problem is studying the stability of the iteration scheme ({x_{n}}) generated by (2.1).

Also (6) reduces to (3) when T n = T for all n ≥ 1. Very recently, Şahin and Başarir [10] modified iteration process (6) in a CAT ( 0 ) space as follows.

In this section, we study a new modified iteration process.

Now, we study a new modified iteration process.

In this paper, motivated by the previous ones, we introduce a new modified iteration process for solving a fixed point problem for continuous functions on an arbitrary interval in the real line.

In this paper, motivated and inspired by the above results, we modify iteration process (1.4)–(1.11) by the new hybrid methods for countable families of asymptotically nonexpansive mappings and semigroups in a Hilbert space, and to prove strong convergence theorems.

A modified iteration procedure implemented in this work gives convergence of the solution after three iterations.

The class of asymptotically pseudocontractive mappings has been studied by several authors (see [2, 4 7] and the references cited therein) by using the modified Mann iteration process (see [8]) and the modified Ishikawa iteration process (see [9]).

The original idea of the modified Mann iteration process was introduced by Alber et al. [6].

Later, Tan and Xu [16] studied the modified Ishikawa iteration process for an asymptotically nonexpansive map.