Abstract
Let S be a nonempty subset of a CAT(0) space E. A mapping T : S → S is said to satisfy condition(C) (sometimes called Suzuki-generalized nonexpansive) if
In this work, we obtain fixed point and convergence results for such maps in a CAT(0) space setting using a new iteration process called the AP iteration method. We show that our iteration process is faster than a series of existing iteration processes. Numerical examples are given to support the analytic evidence. Our results are improved and generalized form of the earlier results.