A SHARP IMPROVEMENT OF FIXED POINT RESULTS FOR QUASI-CONTRACTIONS IN b-METRIC SPACES

摘要

In this paper, a general fixed point theorem for quasi-contractions in b-metric spaces, which is a sharp improvement of Amini-Harandi's result, Mitrovic and Hussain's result, and is a generalization of many b-metric fixed point theorems in the literature, is proved. The technique overcomes some limits in b-metric fixed point theory compared to metric fixed point theory. The obtained results are also supported by examples.