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.

For given k ∈ (0, 1) and r > 0, a self-mapping T : M → M is said to be r-roughly k-contractive provided ‖Tx− Ty‖ ≤ k ‖x− y‖+ r (x, y ∈ M). To state fixed-point properties of such a mapping, the self-Jung constant Js(X) is used, which is defined as the supremum of the ratio 2 rconv S(S)/ diam S over all non-empty, non-singleton and bounded subsets S of some normed linear space X, where rconv S(S...

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.

The mathematical semiconductor device model, consisting of the potential equation and the current continuity subsystem for the carriers, is studied from the standpoint of its decoupling fixed point map and the numerical approximate fixed point map. Variational principles will be discussed for this process and for discretizations achieved by use of generalized splines. By the choice of trial spa...

An approach to fixed point theory based on the notion of fuzzy order is proposed. Such an approach extends both the fixed point theory in ordered sets and the fixed point theory in metric spaces. This since the fuzzy orders are strictly related with the quasi-metrics as defined by A. K. Seda in [10]. The aim is to give new tools for logic programming and for approximate reasoning.