Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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FIXED POINT THEOREMS FOR SET-VALUED MAPS IN QUASI-METRIC SPACES

  • Received : 2010.04.05
  • Accepted : 2010.11.09
  • Published : 2010.12.30
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Abstract

In this paper, we introduce the concept of generalized weak contractivity for set-valued maps defined on quasi metric spaces. We analyze the existence of fixed points for generalized weakly contractive set-valued maps. And we have Nadler's fixed point theorem and Banach's fixed point theorem in quasi metric spaces. We investigate the convergene of iterate schem of the form $x_{n+1}{\in}Fx_n$ with error estimates.

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References

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