Asymptotic behavior of almost-orbits of reversible semigroups of non-Lipschitzian mappings in Banach spaces
1997 ◽
Vol 20
(1)
◽
pp. 51-60
Keyword(s):
LetCbe a nonempty closed convex subset of a uniformly convex Banach spaceEwith a Fréchet differentiable norm,Ga right reversible semitopological semigroup, and𝒮={S(t):t∈G}a continuous representation ofGas mappings of asymptotically nonexpansive type ofCinto itself. The weak convergence of an almost-orbit{u(t):t∈G}of𝒮={S(t):t∈G}onCis established. Furthermore, it is shown that ifPis the metric projection ofEonto setF(S)of all common fixed points of𝒮={S(t):t∈G}, then the strong limit of the net{Pu(t):t∈G}exists.
1999 ◽
Vol 22
(1)
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pp. 217-220
2008 ◽
Vol 2008
◽
pp. 1-10
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1998 ◽
Vol 57
(1)
◽
pp. 117-127
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2013 ◽
Vol 21
(1)
◽
pp. 183-200
2001 ◽
Vol 27
(11)
◽
pp. 653-662
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2011 ◽
Vol 84
(3)
◽
pp. 353-361
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