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Strong convergence theorem for accretive mapping in Banach spaces

Zhenhua He ; Department of Mathematics, Honghe University, Mengzi, P. R. China


Puni tekst: engleski pdf 201 Kb

str. 393-400

preuzimanja: 725

citiraj


Sažetak

Suppose K is a closed convex subset of a real
reflexive Banach space E which has a uniformly Gâteaux
differentiable norm and every nonempty closed convex bounded subset
of E has the fixed point property for nonexpansive mappings. We
prove a strong convergence theorem for an m-accretive mapping from
K to E. The results in this paper are different from the
corresponding results in [] and they improve the corresponding results
in [6,14]

Ključne riječi

Strong convergence; accretive mapping; uniformly Gâteaux differentiable norm

Hrčak ID:

61851

URI

https://hrcak.srce.hr/61851

Datum izdavanja:

8.12.2010.

Posjeta: 1.356 *