Nadler mappings in cone b-metric spaces over Banach algebras
Özavşar, Muttalip1
1 Yildiz Technical University, Istanbul, Turkey
Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 185-194.
Le texte intégral des articles récents est réservé aux abonnés de la revue. Consultez l'article sur le site de la revue.

In this study we first define the concept of Nadler type contraction in the setting of H-cone b-metric space with respect to cone b-metric spaces over Banach algebras. Next we prove the Banach contraction principle for such contractions by means of the notion of spectral radius and a solid cone in underlying Banach algebra. Finally we observe that the main result achieved in this work extends and generalizes the well known results associated with contractions of Nadler type.

Publié le :
DOI : 10.4171/RSMUP/21
Classification : 47, 00
Mots-clés : Cone $b$-metric spaces over Banach algebras, spectral radius, multivalued contractions, fixed point
Özavşar, Muttalip 1

1 Yildiz Technical University, Istanbul, Turkey 
@article{RSMUP_2019__141__185_0,
     author = {\"Ozav\c{s}ar, Muttalip},
     title = {Nadler mappings in cone $b$-metric spaces over {Banach} algebras},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {185--194},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {141},
     year = {2019},
     doi = {10.4171/RSMUP/21},
     mrnumber = {3962827},
     zbl = {1496.54053},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/21/}
}
TY  - JOUR
AU  - Özavşar, Muttalip
TI  - Nadler mappings in cone $b$-metric spaces over Banach algebras
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2019
SP  - 185
EP  - 194
VL  - 141
PB  - European Mathematical Society Publishing House
PP  - Zuerich, Switzerland
UR  - http://www.numdam.org/articles/10.4171/RSMUP/21/
DO  - 10.4171/RSMUP/21
ID  - RSMUP_2019__141__185_0
ER  - 
%0 Journal Article
%A Özavşar, Muttalip
%T Nadler mappings in cone $b$-metric spaces over Banach algebras
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2019
%P 185-194
%V 141
%I European Mathematical Society Publishing House
%C Zuerich, Switzerland
%U http://www.numdam.org/articles/10.4171/RSMUP/21/
%R 10.4171/RSMUP/21
%F RSMUP_2019__141__185_0
Özavşar, Muttalip. Nadler mappings in cone $b$-metric spaces over Banach algebras. Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 185-194. doi : 10.4171/RSMUP/21. http://www.numdam.org/articles/10.4171/RSMUP/21/

Cité par Sources :