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.
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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 
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     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/}
}
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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/

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