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Matematicheskie Zametki, 2012, Volume 91, Issue 5, Pages 773–779
DOI: https://doi.org/10.4213/mzm8662 (Mi mzm8662) 		 
Applications of the Fixed Point Index in Menger PN-Spaces

Chuanxi Zhu, Qiuying Li

Nanchang University, Republic of China
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DOI: https://doi.org/10.4213/mzm8662
Abstract: 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, $T$-retraction, completeness, distribution function.
Received: 03.03.2009
English version:
Mathematical Notes, 2012, Volume 91, Issue 5, Pages 725–730
DOI: https://doi.org/10.1134/S0001434612050148
Bibliographic databases:
Document Type: Article
UDC: 517.988.523
Language: Russian
Citation: Chuanxi Zhu, Qiuying Li, “Applications of the Fixed Point Index in Menger PN-Spaces”, Mat. Zametki, 91:5 (2012), 773–779; Math. Notes, 91:5 (2012), 725–730
Citation in format AMSBIB
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