Some Convergence Results for the Jungck-Mann and the Jungck-Ishikawa Iteration Processes in the Class of Generalized Zamfirescu Operators
Acta mathematica Universitatis Comenianae, Tome 77 (2008) no. 2
M. O. Olatinwo;  C. O. Imoru. Some Convergence Results for the Jungck-Mann and the Jungck-Ishikawa  
Iteration Processes in the Class of Generalized Zamfirescu Operators. Acta mathematica Universitatis Comenianae, Tome 77 (2008) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2008_77_2_a13/
@article{AMUC_2008_77_2_a13,
     author = {M. O. Olatinwo and  C. O. Imoru},
     title = {Some {Convergence} {Results} for the {Jungck-Mann} and the {Jungck-Ishikawa}  {
Iteration} {Processes} in the {Class} of {Generalized} {Zamfirescu} {Operators}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2008},
     volume = {77},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2008_77_2_a13/}
}
TY  - JOUR
AU  - M. O. Olatinwo
AU  -  C. O. Imoru
TI  - Some Convergence Results for the Jungck-Mann and the Jungck-Ishikawa  
Iteration Processes in the Class of Generalized Zamfirescu Operators
JO  - Acta mathematica Universitatis Comenianae
PY  - 2008
VL  - 77
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/AMUC_2008_77_2_a13/
ID  - AMUC_2008_77_2_a13
ER  - 
%0 Journal Article
%A M. O. Olatinwo
%A  C. O. Imoru
%T Some Convergence Results for the Jungck-Mann and the Jungck-Ishikawa  
Iteration Processes in the Class of Generalized Zamfirescu Operators
%J Acta mathematica Universitatis Comenianae
%D 2008
%V 77
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2008_77_2_a13/
%F AMUC_2008_77_2_a13

Voir la notice de l'article provenant de la source Comenius University

In this paper, we shall establish some strong convergence results for the recently introduced Jungck-Mann iteration process of Singh et al. [18] and the newly introduced Jungck-Ishikawa iteration process in the class of nonselfmappings in an arbitrary Banach space. Our results are generalizations and extensions of those of Berinde [4], Rhoades [13, 14] as well as some other analogous ones in the literature.