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2016-05-31 Nonlinear Seminar

Lech Pasicki
Classical fixed point theorems

Author’s extensions of the well-known fixed point theorems will be presented. The theorem of Banach, the theorem of Caristi (also with the variational results), and the theorem of Browder-Göhde-Kirk for nonexpansive mappings are involved. Our versions extend these theorems, as their specific assumptions are weaker, and the spaces under consideration are more general.