Some fixed point theorems on non-convex sets
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https://riunet.upv.es/handle/10251/89591
Cita bibliográfica
Radhakrishnan, M.; Rajesh, S.; Agrawal, S. (2017). Some fixed point theorems on non-convex sets. Applied General Topology. 18(2):377-390. https://doi.org/10.4995/agt.2017.7452
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[EN] In this paper, we prove that ifKis a nonempty weakly compact setin a Banach spaceX,T:K→Kis a nonexpansive map satisfyingx+Tx2∈Kfor allx∈Kand ifXis3−uniformly convex orXhas theOpial property, thenThas a fixed point in K
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Applied General Topology issn: 1576-9402