The Fixed-Point Index of Nonlinear Operators in Menger PN-Spaces
Matematičeskie zametki, Tome 90 (2011) no. 1, pp. 104-112
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In the paper, the topological degree for a compact continuous operator defined on an open subset of a Menger PN-space is generalized. The new concept of fixed-point index in Menger PN-spaces is introduced, the most important properties of the fixed-point index are established, and some other results are given.
Keywords:
fixed-point index, Menger PN-space, compact continuity, probabilistic metric space, distribution function.
Mots-clés : $T$-retraction
Mots-clés : $T$-retraction
@article{MZM_2011_90_1_a9,
author = {Qiuying Li and Chuanxi Zhu},
title = {The {Fixed-Point} {Index} of {Nonlinear} {Operators} in {Menger} {PN-Spaces}},
journal = {Matemati\v{c}eskie zametki},
pages = {104--112},
publisher = {mathdoc},
volume = {90},
number = {1},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2011_90_1_a9/}
}
Qiuying Li; Chuanxi Zhu. The Fixed-Point Index of Nonlinear Operators in Menger PN-Spaces. Matematičeskie zametki, Tome 90 (2011) no. 1, pp. 104-112. http://geodesic.mathdoc.fr/item/MZM_2011_90_1_a9/