Geodesic
Orbital Continuity and Common Fixed Points in Menger PM-Spaces
Kragujevac Journal of Mathematics, Tome 47 (2023) no. 7, p. 1011 .

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

In this paper, we prove that if a pair of semi R-commuting self-mappings defined on Menger PM-spaces with a nonlinear contractive condition posses a unique common fixed point, then these mappings are orbitally continuous. Also, we investigate whether this assertion and it converse holds if we replace semi R-commutativity with some other concept of commutativity in the weaker sense.
DOI : 10.46793/KgJMat2307.1011N
Classification : 47H10, 54H25, 54E70
Keywords: Orbital continuity, probabilistic metric spaces, common Ąxed point, nonlinear contractive condition. 
@article{10_46793_KgJMat2307_1011N,
     author = {Rale M. Nikoli\'c and Vladimir T. Risti\'c and Jasmina Fijuljanin and Aleksanar \v{S}ebekovi\'c},
     title = {Orbital {Continuity} and {Common} {Fixed} {Points} in {Menger} {PM-Spaces}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {1011 },
     publisher = {mathdoc},
     volume = {47},
     number = {7},
     year = {2023},
     doi = {10.46793/KgJMat2307.1011N},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46793/KgJMat2307.1011N/}
}
TY  - JOUR
AU  - Rale M. Nikolić
AU  - Vladimir T. Ristić
AU  - Jasmina Fijuljanin
AU  - Aleksanar Šebeković
TI  - Orbital Continuity and Common Fixed Points in Menger PM-Spaces
JO  - Kragujevac Journal of Mathematics
PY  - 2023
SP  - 1011 
VL  - 47
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46793/KgJMat2307.1011N/
DO  - 10.46793/KgJMat2307.1011N
LA  - en
ID  - 10_46793_KgJMat2307_1011N
ER  - 
%0 Journal Article
%A Rale M. Nikolić
%A Vladimir T. Ristić
%A Jasmina Fijuljanin
%A Aleksanar Šebeković
%T Orbital Continuity and Common Fixed Points in Menger PM-Spaces
%J Kragujevac Journal of Mathematics
%D 2023
%P 1011 
%V 47
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46793/KgJMat2307.1011N/
%R 10.46793/KgJMat2307.1011N
%G en
%F 10_46793_KgJMat2307_1011N
Rale M. Nikolić; Vladimir T. Ristić; Jasmina Fijuljanin; Aleksanar Šebeković. Orbital Continuity and Common Fixed Points in Menger PM-Spaces. Kragujevac Journal of Mathematics, Tome 47 (2023) no. 7, p. 1011 . doi : 10.46793/KgJMat2307.1011N. http://geodesic.mathdoc.fr/articles/10.46793/KgJMat2307.1011N/

Cité par Sources :