Geodesic
Best Proximity Point Theorems in Non-Archimedean Menger Probabilistic Spaces
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 3, p. 331 .

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

In this work, we prove best proximity point theorems for $\gamma$-contractions with conditions the weak P-property in non-Archimedean Menger probabilistic metric spaces. We give the notion of $\gamma$- proximal contractions of first and second type in non-Archimedean Menger probabilistic metric spaces and also we establish best proximity point theorems for these proximal contractions. Lastly, we complete our study by giving examples that support our results.
DOI : 10.46793/KgJMat2403.331K
Classification : 47H10, 54E70
Keywords: fixed point, best proximity point, $\gamma$-contraction, non-Archimedean Menger probabilistic metric space 
@article{10_46793_KgJMat2403_331K,
     author = {Arife Aysun Karaaslan and Vatan Karakaya},
     title = {Best {Proximity} {Point} {Theorems} in {Non-Archimedean} {Menger} {Probabilistic} {Spaces}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {331 },
     publisher = {mathdoc},
     volume = {48},
     number = {3},
     year = {2024},
     doi = {10.46793/KgJMat2403.331K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46793/KgJMat2403.331K/}
}
TY  - JOUR
AU  - Arife Aysun Karaaslan
AU  - Vatan Karakaya
TI  - Best Proximity Point Theorems in Non-Archimedean Menger Probabilistic Spaces
JO  - Kragujevac Journal of Mathematics
PY  - 2024
SP  - 331 
VL  - 48
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46793/KgJMat2403.331K/
DO  - 10.46793/KgJMat2403.331K
LA  - en
ID  - 10_46793_KgJMat2403_331K
ER  - 
%0 Journal Article
%A Arife Aysun Karaaslan
%A Vatan Karakaya
%T Best Proximity Point Theorems in Non-Archimedean Menger Probabilistic Spaces
%J Kragujevac Journal of Mathematics
%D 2024
%P 331 
%V 48
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46793/KgJMat2403.331K/
%R 10.46793/KgJMat2403.331K
%G en
%F 10_46793_KgJMat2403_331K
Arife Aysun Karaaslan; Vatan Karakaya. Best Proximity Point Theorems in Non-Archimedean Menger Probabilistic Spaces. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 3, p. 331 . doi : 10.46793/KgJMat2403.331K. http://geodesic.mathdoc.fr/articles/10.46793/KgJMat2403.331K/

Cité par Sources :