@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" }