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

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...

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

On the Rate of Convergence of Kirk-Type Iterative Schemes

The purpose of this paper is to introduce Kirk-type new iterative schemes called Kirk-SP and Kirk-CR schemes and to study the convergence of these iterative schemes by employing certain quasi-contractive operators. By taking an example, we will compare Kirk-SP, Kirk-CR, Kirk-Mann, Kirk-Ishikawa, and Kirk-Noor iterative schemes for aforementioned class of operators. Also, using computer programs...