Data Dependence For Noor Iterative Scheme Dealing With Contractive-Like Operators

Data Dependence of Noor and SP Iterative Schemes when dealing with Quasi-Contractive Operators

We prove results concerning data dependence of Noor and SP iterative schemes using certain quasi-contractive operators in real Banach spaces. Our results reveal that by choosing an approximate quasi-contractive operator (for which it is possible to compute the fixed point); we can approximate the fixed point of the given operator. An example is also provided to explain the validity of our results.

Data Dependence for Ishikawa Iteration When Dealing with Contractive-Like Operators

Strong Convergence of SP Iterative Scheme for Quasi-Contractive Operators

In this paper , we study the strong convergence of SP iterative scheme for quasi-contractive operators in Banach spaces. We show that Picard , Mann , Ishikawa , Noor, new two step and SP iterative schemes are equivalent for quasi-contractive operators. In addition, we show that the rate of convergence of SP iterative scheme is better than the other iterative schemes mentioned above for increasi...

On Multistep Iterative Scheme for Approximating the Common Fixed Points of Contractive-Like Operators

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...

Data Dependence of Some New Iterative Schemes for Quasi-Contractive Operators

In this paper we prove data dependence of new multistep iterative scheme as well as CR iterative scheme for quasi contractive operators, that is, by using an approximate quasi -contractive operator we approximate the fixed point of the given operators.