Published April 5, 2014 | Version v1

UNIQUE FIXED POINT THEOREMS FOR CONTRACTIVE MAPS TYPE IN T 0 -QUASI-METRIC SPACES

Authors/Creators

  • 1. University of Cape Town

Description

In [2], Agyingi proved that every generalized contractive mapping defined in a q-spherically complete
T 0 -ultra-quasi-metric space has a unique fixed point. In this article, we give and prove a fixed point theorem for
C-contractive and S-contractive mappings in a bicomplete di-metric space. The connection between q-spherically
complete T 0 -ultra-quasi-metric spaces and bicomplete di-metric spaces is pointed out in Proposition 3.1.
Keywords: ultra-quasi-metric; q-spherically complete; bicomplete di-metric

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UNIQUE_FIXED_POINT_THEOREMS_FOR_CONTRACTIVE_MAPS_TYPE_IN_T_0_-QUASI-METRIC_SPACES.pdf

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