Geodesic
Applications of the Fixed Point Index in Menger PN-Spaces
Matematičeskie zametki, Tome 91 (2012) no. 5, pp. 773-779

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, applications of the fixed-point index of a nonlinear operator in Menger PN-spaces are given. Theorems on the existence of fixed points of a compact continuous operator are obtained. At the same time, the existence of the solution of a class of differential equations in a complete Menger PN-space is studied, and the theorem on the existence of the solution of a class of differential equations is obtained.
Keywords: fixed-point index, probabilistic normed space, Menger PN-space, completeness, distribution function.
Mots-clés : $T$-retraction 
@article{MZM_2012_91_5_a12,
     author = {Chuanxi Zhu and Qiuying Li},
     title = {Applications of the {Fixed} {Point} {Index} in {Menger} {PN-Spaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {773--779},
     publisher = {mathdoc},
     volume = {91},
     number = {5},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_91_5_a12/}
}
TY  - JOUR
AU  - Chuanxi Zhu
AU  - Qiuying Li
TI  - Applications of the Fixed Point Index in Menger PN-Spaces
JO  - Matematičeskie zametki
PY  - 2012
SP  - 773
EP  - 779
VL  - 91
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2012_91_5_a12/
LA  - ru
ID  - MZM_2012_91_5_a12
ER  - 
%0 Journal Article
%A Chuanxi Zhu
%A Qiuying Li
%T Applications of the Fixed Point Index in Menger PN-Spaces
%J Matematičeskie zametki
%D 2012
%P 773-779
%V 91
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2012_91_5_a12/
%G ru
%F MZM_2012_91_5_a12
Chuanxi Zhu; Qiuying Li. Applications of the Fixed Point Index in Menger PN-Spaces. Matematičeskie zametki, Tome 91 (2012) no. 5, pp. 773-779. http://geodesic.mathdoc.fr/item/MZM_2012_91_5_a12/