DOI: 10.24193/fpt-ro.2021.1.22

Authors: Lech Pasicki

Abstract: Su and Yao [Fixed Point Theory Appl. 2015:120 (2015)] have proved a fixed point theorem for mappings in metric spaces satisfying a general contraction condition. In their paper numerous examples of important consequences of this theorem are given. Our main aim is to present an extension of the Su-Yao theorem to the case of dislocated metric spaces. The proof is short, the result is stronger also for metric spaces, and the theorem itself is a natural and elegant extension of the celebrated Banach fixed point theorem.

Key Words and Phrases: Dislocated metric, partial metric, fixed point, general contraction.

2010 Mathematics Subject Classification: 54H25, 47H10.

Published on-line: February 1st, 2021.

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