1Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam. 2Institut Supérieur d'Informatique et des Techniques de Communication, Université de Sousse, H.~Sousse, Tunisia 3Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia
Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 1, pp. 143-152
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Zoran D. Mitrović; Hassen Aydi; Stojan Radenović; Zoran D. Mitrović; Hassen Aydi; Stojan Radenović. On Banach and Kannan type results in cone b_v(s)-metric spaces over Banach algebra. Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 1, pp. 143-152. http://geodesic.mathdoc.fr/item/AMUC_2020_89_1_a13/
@article{AMUC_2020_89_1_a13,
author = {Zoran D. Mitrovi\'c and Hassen Aydi and Stojan Radenovi\'c and Zoran D. Mitrovi\'c and Hassen Aydi and Stojan Radenovi\'c},
title = { On {Banach} and {Kannan} type results in cone b_v(s)-metric spaces over {Banach} algebra},
journal = {Acta mathematica Universitatis Comenianae},
pages = {143--152},
year = {2020},
volume = {89},
number = {1},
url = {http://geodesic.mathdoc.fr/item/AMUC_2020_89_1_a13/}
}
TY - JOUR
AU - Zoran D. Mitrović
AU - Hassen Aydi
AU - Stojan Radenović
AU - Zoran D. Mitrović
AU - Hassen Aydi
AU - Stojan Radenović
TI - On Banach and Kannan type results in cone b_v(s)-metric spaces over Banach algebra
JO - Acta mathematica Universitatis Comenianae
PY - 2020
SP - 143
EP - 152
VL - 89
IS - 1
UR - http://geodesic.mathdoc.fr/item/AMUC_2020_89_1_a13/
ID - AMUC_2020_89_1_a13
ER -
%0 Journal Article
%A Zoran D. Mitrović
%A Hassen Aydi
%A Stojan Radenović
%A Zoran D. Mitrović
%A Hassen Aydi
%A Stojan Radenović
%T On Banach and Kannan type results in cone b_v(s)-metric spaces over Banach algebra
%J Acta mathematica Universitatis Comenianae
%D 2020
%P 143-152
%V 89
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2020_89_1_a13/
%F AMUC_2020_89_1_a13
In this paper, the concept of a cone bv (s)-metric space overBanach algebra is introduced as a generalization of metric spaces, rectangular metric spaces, b-metric spaces, rectangular b-metric spaces, v-generalized metric spaces, cone b-metric spaces over Banach algebraand rectangular cone b-metric spaces over Banach algebra. We also giveproofs of the Banach and Kannan contraction principles in cone bv (s)-metric spaces over Banach algebra.Some examples are also provided.