<p>In this paper, we presented the results for extended nonlinear contraction defined on <i>S</i>-left complete topological spaces. Our results generalize earlier results in literature. Also, we obtain the fixed point theorem for extended nonlinear contraction defined on quasi <i>b</i>-metric spaces. This result extended recent results of Pasicki, obtained for dislocated metric spaces.</p>

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Fixed points results in S-left complete topological spaces and quasi b-metric spaces

  • I. D. Aranđelović,
  • Z. D. Mitrović

摘要

In this paper, we presented the results for extended nonlinear contraction defined on S-left complete topological spaces. Our results generalize earlier results in literature. Also, we obtain the fixed point theorem for extended nonlinear contraction defined on quasi b-metric spaces. This result extended recent results of Pasicki, obtained for dislocated metric spaces.