Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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COINCIDENCE THEOREMS FOR COMPARABLE GENERALIZED NON LINEAR CONTRACTIONS IN ORDERED PARTIAL METRIC SPACES

  • Received : 2016.05.31
  • Published : 2017.04.30
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Abstract

In this paper, we prove some coincidence point theorems involving ${\varphi}-contraction$ in ordered partial metric spaces. We also extend newly introduced notion of g-comparability of a pair of maps for linear contraction in ordered metric spaces to non-linear contraction in ordered partial metric spaces. Thus, our results extend, modify and generalize some recent well known coincidence point theorems of ordered metric spaces.

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References

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