Gradient systems of closed operators

Vittorino Pata

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On unrestricted products of (W) contractions

W. Bartoszek (2000)

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Given a family of (W) contractions $T_{1}, . . ., T_{N}$ on a reflexive Banach space X we discuss unrestricted sequences $T_{r_{n}} \circ . . . \circ T_{r_{1}} (x)$ . We show that they converge weakly to a common fixed point, which depends only on x and not on the order of the operators $T_{r_{n}}$ if and only if the weak operator closed semigroups generated by $T_{1}, . . ., T_{N}$ are right amenable.

Contractive-like mapping principles in ordered metric spaces and application to ordinary differential equations.

Caballero, J., Harjani, J., Sadarangani, K. (2010)

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