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

Data Dependence for Ishikawa Iteration When 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.

Common fixed points of Ciric quasi-contractive operators through Ishikawa iteration process with errors

We establish a general theorem to approximate common fixed points of Ciric quasi-contractive operators on a normed space through the modified Ishikawa iteration process with errors in the sense of Xu [21]. Our result generalizes and improves upon, among others, the corresponding results of [2, 15]. 2000 Mathematics Subject Classification: Primary 47H10, 47H17; Secondary 54H25

On the Convergence of the Ishikawa Iteration in the Class of Quasi Contractive Operators

A convergence theorem of Rhoades [18] regarding the approximation of fixed points of some quasi contractive operators in uniformly convex Banach spaces using the Ishikawa iterative procedure, is extended to arbitrary Banach spaces. The conditions on the parameters {αn} that define the Ishikawa iteration are also weakened.

Existence and Data Dependence for Multivalued Weakly Reich-contractive Operators

In this paper we define the concept of weakly Reich-contractive operator and give a fixed point result for this type of operators. Then we study the data dependence for this new result. Full text