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Gutman A.E.
Fixed-point theorems (2 publications, 2013–2014)
Critical analysis of some papers devoted to generalization of fixed-point theorems
BibTeX: Download BIB file
@inproceedings { Gutman20130830,
author = "Gutman A.E.",
title = "Sequentially convergent mappings and fixed-point theorems",
booktitle = "Geometry Days in Novosibirsk -- 2013. International conference (Novosibirsk, August 28--31, 2013): Proceedings",
address = "Novosibirsk",
publisher = "Institute of Mathematics",
year = "2013",
pages = "34--35",
language = "russian",
annote = "It is shown that the main results of 28 articles devoted to generalizations of fixed-point theorems for mappings in special spaces are direct consequences of a single general theorem which translates previously known facts to the spaces under consideration."
}
@article { Gutman20131112,
author = "Gutman A.E. and Koptev A.V.",
title = "Convergence-preserving maps and fixed-point theorems",
journal = "Mat. zametki",
year = "2014",
volume = "95",
number = "5",
pages = "790--794",
doi = "10.4213/mzm10446",
language = "russian",
annote = "It is shown that the main results of 28 articles devoted to generalizations of fixed-point theorems for mappings in special spaces are direct consequences of a single general theorem which translates previously known facts to the spaces under consideration."
}
@article { Gutman20131113,
author = "Gutman A.E. and Koptev A.V.",
title = "Convergence-preserving maps and fixed-point theorems",
journal = "Math. Notes",
year = "2014",
volume = "95",
number = "5",
pages = "738--742",
doi = "10.1134/S0001434614050150",
annote = "It is shown that the main results of 28 articles devoted to generalizations of fixed-point theorems for mappings in special spaces are direct consequences of a single general theorem which translates previously known facts to the spaces under consideration.",
keywords = "sequential convergence, (pre)topological convergence, single-valued convergence, sequential topological space, convergence-preserving map, (sub)sequentially convergent map, fixed-point theorem"
}