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- W2912059353 abstract "The paper develops the extensions of both the antipodal (Borsuk–Ulam) theorem and Browder theorem to the cases embracing star-shaped domains of the studied mappings and a multi-valued nature of the latter.To be more specific, by making use of the triangulation procedure, we spread out the antipodal and fixed-point theorems to the case of not necessarily convex (star-shaped) domains. In addition, similar extensions are obtained for multi-valued mappings defined over star-shaped sets. Moreover, a directt algorithm shaping the required connected path of the zero points of the mapping has been designed, and its convergence demonstrated." @default.
- W2912059353 created "2019-02-21" @default.
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- W2912059353 date "2018-12-01" @default.
- W2912059353 modified "2023-10-11" @default.
- W2912059353 title "Extensions of Antipodal-Type Theorems" @default.
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- W2912059353 doi "https://doi.org/10.1109/umso.2018.8637224" @default.
- W2912059353 hasPublicationYear "2018" @default.
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