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Fixed points for pseudocontractive mappings on unbounded domains. (English) Zbl 1207.47057

The authors prove some fixed point theorems for pseudocontractive mappings on an unbounded domain. These generalize many recent results of J.-P.Penot [Proc.Am.Math.Soc.131, No.8, 2371–2377 (2003; Zbl 1035.47043)], G.Isac and 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.

MSC:

47H10 Fixed-point theorems
47N20 Applications of operator theory to differential and integral equations
47H06 Nonlinear accretive operators, dissipative operators, etc.
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