Gutman A.E.
Fixed-point theorems
2 publications, 2013–2014

Critical analysis of some papers devoted to generalization of fixed-point theorems

A general notion of convergence space is considered.
A description is obtained for convergence preserving mappings acting in convergence spaces.
Sequentially and subsequentially convergent functions are described.
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.

1.	Gutman A.E. Sequentially convergent mappings and fixed-point theorems [in Russian] // Report abstract. Geometry Days in Novosibirsk – 2013. International conference (Novosibirsk, August 28–31, 2013): Proceedings. Novosibirsk: Institute of Mathematics, 2013. P. 34–35. Bibliographic record Record in BibTeX format Report abstract (PDF) Cover (PDF) Abstracts (PDF) Conference program (PDF) Information on ResearchGate Abstracts on the site (PDF) Program on the conference site (PDF) Conference site
2.	Gutman A.E., Koptev A.V. Convergence-preserving maps and fixed-point theorems [in Russian] // Mat. zametki. 2014. V. 95, N 5. P. 790–794. Bibliographic record Record in BibTeX format Article (PDF) Information on Math-Net Information on ResearchGate DOI resolution Journal site English version
	Gutman A.E., Koptev A.V. Convergence-preserving maps and fixed-point theorems // Math. Notes. 2014. V. 95, N 5. P. 738–742. Bibliographic record Record in BibTeX format Article (PDF) Information on Springer Link Information on ResearchGate DOI resolution Journal site Russian version

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Last updated
June 10, 2020

Gutman A.E.Fixed-point theorems2 publications, 2013–2014