This article is cited in 1 paper

The Fixed-Point Index of Nonlinear Operators in Menger PN-Spaces

Qiuying Li, Chuanxi Zhu

Nanchang University

Abstract: 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, $T$-retraction, compact continuity, probabilistic metric space, distribution function.

UDC: 517.988.523

Received: 03.03.2009

DOI: 10.4213/mzm8663

 English version: Mathematical Notes, 2011, 90:1, 94–101

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