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Topological methods in the theory of operator inclusions in Banach spaces. I

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Abstract

We develop topological methods for the investigation of operator inclusions in Banach spaces, prove the generalized Ky Fan inequality, and study the critical points of many-valued mappings in topological spaces.

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Authors and Affiliations

  1. Institute of Applied System Analysis, Ukrainian National Academy of Sciences and Ukrainian Ministry of Education and Science, Kiev

    V. S. Mel’nik

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  1. V. S. Mel’nik
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 2, pp. 184–194, February, 2006.

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Mel’nik, V.S. Topological methods in the theory of operator inclusions in Banach spaces. I. Ukr Math J 58, 206–219 (2006). https://doi.org/10.1007/s11253-006-0062-0

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  • DOI: https://doi.org/10.1007/s11253-006-0062-0

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