대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제34권1호
  • /
  • Pages.93-102
  • /
  • 1997
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

Convergence of approximate sequences for compositions of nonexpansive mappings in banach spaces

  • Jung, Jong-Soo (Department of Mathematics, Dong-A University, Pusan 604-714) ;
  • Kim, Tae-Hwa (Department of Applied Mathematics, Pukyong National University, Pusan 608-737)
  • 발행 : 1997.02.01
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초록

Let C be a nonempty closed convex subset of a Banach space E and let $T_1, \cdots, T_N$ be nonexpansive mappings from C into itself (recall that a mapping $T : C \longrightarrow C$ is nonexpansive if $\left\$\mid$ Tx - Ty \right\$\mid$ \leq \left\$\mid$ x - y \right\$\mid$$ for all $x, y \in C$). We consider the fixed point problem for nonexpansive mappings : find a common fixed point, i.e., find a point in $\cap_{i=1}^N Fix(T_i)$, where $Fix(T_i) := {x \in C : x = T_i x}$ denotes the set of fixed points of $T_i$.

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참고문헌

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