East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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FIXED POINT THEOREMS FOR $\lambda$-FIRMLY NONEXPANSIVE MAPPINGS IN METRIC SPACES OF HYPERBOLIC TYPE

  • Kim, Tae-Hwa (Department of Mathematical Sciences Pukyong National University) ;
  • Kim, Eun-Suk (Department of Mathematical Sciences Pukyong National University) ;
  • Kim, Sung-Hee (Department of Mathematical Sciences Pukyong National University)
  • Published : 1999.12.25
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Abstract

In this paper, we prove that any $\lambda$-firmly nonexpansive mapping ($0<\lambda<1)T:C{\rightarrow}C$ has a fixed point in C whenever C is a finite union of nonempty, bounded, closed and convex subsets of a metric space of hyperbolic type.

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