Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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FIXED AND PERIODIC POINT THEOREMS IN QUASI-METRIC SPACES

  • Received : 2010.10.19
  • Accepted : 2011.03.22
  • Published : 2011.05.30
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Abstract

In this paper, we introduce the concept of generalized weak q-contractivity for multivalued maps defined on quasi-metric spaces. A new fixed point theorem for these maps is established. The convergene of iterate schem of the form $x_n+1\;{\in}\;Fx_n$ is investigated. And a new periodic point theorem for weakly q-contractive self maps of quasi-metric spaces is proved.

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References

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