Some stability and strong convergence results for the Jungck-Ishikawa iteration process. (English) Zbl 1199.47282

Olatinwo, M. O.

Creat. Math. Inform. 17, No. 1, 33-42 (2008).

Summary: In this paper, we establish some stability results as well as some strong convergence results for a pair of nonselfmappings, using a newly introduced Jungck-Ishikawa iteration process and some general contractive conditions. Our results are generalizations and extensions of some analogous results in the literature.

MSC:

47J25	Iterative procedures involving nonlinear operators
47H06	Nonlinear accretive operators, dissipative operators, etc.
54H25	Fixed-point and coincidence theorems (topological aspects)

Keywords:

Banach space; Jungck-Ishikawa iteration process; nonselfmappings