Fixed points for pseudocontractive mappings on unbounded domains
The authors prove some fixed point theorems for pseudocontractive mappings on an unbounded domain. These generalize many recent results of \textit{J.-P.\,Penot} [Proc.\ Am.\ Math.\ Soc.\ 131, No.\,8, 2371--2377 (2003; Zbl 1035.47043)], \textit{G.\,Isac} and \textit{S.\,Z.\,Németh} [J.~Math.\ Anal.\ Appl.\ 314, No.\,2, 500--512 (2006; Zbl 1090.47041)]. The solvability of Hammerstein's integral equations is also discussed.
scientific article; zbMATH DE number 5692355
scientific article