Geodesic
Extended multi-valued pseudocontractive mappings and extended Mann and Ishikawa iteration schemes for finite family of mappings
Filomat, Tome 37 (2023) no. 11, p. 3457

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, new classes of extended multi-valued pseudocontractive mappings are introduced. It is established that the type-one subclass of the extended strictly pseudocontractive mappings is more closely related to the class of single-valued strictly pseudocontractive mappings in the sense that the possession of L-Lipschitzian and demiclosedness properties as well as closed and convex set of fixed points are guaranteed. Also, we introduce an extended Mann and an extended Ishikawa iteration schemes for approximating a common fixed point of a finite family of mappings. Furthermore, using the extended Mann and the extended Ishikawa iteration schemes, we prove weak and strong convergence theorems for our new classes of extended strictly pseudocontractive and pseudocontractive mappings, respectively. Numerical examples are also included to illustrate our results. The results obtained improve, complement and extend the results on multi-valued and single-valued mappings in the contemporary literature.
DOI : 10.2298/FIL2311457I
Classification : 47H10, 54H25 47H30 47J05 47J25
Keywords: Hilbert spaces, Extended Mann and extended Ishikawa iteration schemes, Demiclosedness, Extended k-strictly pseudocontractive and pseudocontractive 
Felicia Obiageli Isiogugu; Ferdi; and Udochukwu Ogbuisi; Paranjothi Pillay. Extended multi-valued pseudocontractive mappings and extended Mann and Ishikawa iteration schemes for finite family of mappings. Filomat, Tome 37 (2023) no. 11, p. 3457 . doi: 10.2298/FIL2311457I
@article{10_2298_FIL2311457I,
     author = {Felicia Obiageli Isiogugu and Ferdi and and Udochukwu Ogbuisi and Paranjothi Pillay},
     title = {Extended multi-valued pseudocontractive mappings and extended {Mann} and {Ishikawa} iteration schemes for finite family of mappings},
     journal = {Filomat},
     pages = {3457 },
     year = {2023},
     volume = {37},
     number = {11},
     doi = {10.2298/FIL2311457I},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2311457I/}
}
TY  - JOUR
AU  - Felicia Obiageli Isiogugu
AU  - Ferdi
AU  - and Udochukwu Ogbuisi
AU  - Paranjothi Pillay
TI  - Extended multi-valued pseudocontractive mappings and extended Mann and Ishikawa iteration schemes for finite family of mappings
JO  - Filomat
PY  - 2023
SP  - 3457 
VL  - 37
IS  - 11
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2311457I/
DO  - 10.2298/FIL2311457I
LA  - en
ID  - 10_2298_FIL2311457I
ER  - 
%0 Journal Article
%A Felicia Obiageli Isiogugu
%A Ferdi
%A and Udochukwu Ogbuisi
%A Paranjothi Pillay
%T Extended multi-valued pseudocontractive mappings and extended Mann and Ishikawa iteration schemes for finite family of mappings
%J Filomat
%D 2023
%P 3457 
%V 37
%N 11
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2311457I/
%R 10.2298/FIL2311457I
%G en
%F 10_2298_FIL2311457I

Cité par Sources :