FIXED POINT THEOREMS IN PARTIAL b-METRIC-LIKE SPACES

AREERAT  ARUNCHAI; BOONYARIT  NGEONKAM

FIXED POINT THEOREMS IN PARTIAL b-METRIC-LIKE SPACES

Authors

AREERAT ARUNCHAI Division of Mathematics and Statistics, Nakhon Sawan Rajabhat University, Nakhon Sawan, Thailand
BOONYARIT NGEONKAM Faculty of Science and Technology, Nakhon Sawan Rajabhat University, 398 Moo. 9, Sawanwithi Road, Muang District, Nakhon Sawan, 60000, Thailand

Keywords:

Partial b-metric-like space, Partial b-metric space, Cauchy sequence, Fixed point

Abstract

In this paper, we introduce an interesting extension of the b-metric space called b-metric-like space. We investigate some contraction mapping in partial b-metric-like space and prove the existence of fixed point of this mapping in partial b-metric-like space under some conditions.