Coupled fixed point results in cone metric spaces for -compatible mappings

n/

On finitely many fixed points

Let C be the finite union of closed convex sets in a complete metrisable locally convex space. If f: C → C with f(C) compact, then f can be approximated by a map g: C → C which has only a finite number of fixed points. This result, which is a generalization of the result of Baillon and Rallis, is proved in this paper. Journal of the Nigerian Association of Mathematical Physics Vol. 10 2006: pp. 167-17

On the equivalence of Picard, Mann and Ishikawa iterations for a class of quasi-contractive operators

We show that the Picard, Mann and the Ishikawa iterations are equivalent when applied to a class of quasi-contractive operators. This result generalises that of Soltuz among others. JONAMP Vol. 11 2007: pp. 51-5

Mann iteration with errors for strictly pseudo-contractive mappings.

It is well known that any fixed point of a Lipschitzian strictly pseudo-contractive self mapping of a nonempty closed convex and bounded subset K of a Banach space X is unique [6] and may be norm approximated by an iterative procedure. In this paper, we show that Mann iteration with errors can be used to approximate the fixed points of strictly pseudocontractive mappings. Our result extend the corresponding result obtained by Liu [6]. JONAMP Vol. 11 2007: pp. 57-6