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The fixed-point index of nonlinear operators in Menger PN-spaces

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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, themost important properties of the fixed-point index are established, and some other results are given.

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Correspondence to Qiuying Li.

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Published in Russian in Matematicheskie Zametki, 2011, Vol. 90, No. 1, pp. 104–112.

The text was submitted by the authors in English.

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Li, Q., Zhu, C. The fixed-point index of nonlinear operators in Menger PN-spaces. Math Notes 90, 94 (2011). https://doi.org/10.1134/S0001434611070108

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