@article{Sehie Park_2023, title={All metric fixed point theorems hold for quasi-metric spaces}, volume={6}, url={https://nonlinear-analysis.com/index.php/pub/article/view/356}, abstractNote={<p>Our aim in this article is to show that all metric fixed point theorems hold for quasi-metric spaces (X, δ) (without symmetry). In fact, we show some well-known theorems on metric spaces hold for quasi-metric spaces from the beginning. We check this fact for the Banach contraction principle, the Covitz-Nadler fixed point theorem, the Rus-Hicks-Rhoades fixed point theorem, and others. In<br>these theorems the concepts of continuity and completeness can be replaced by orbital continuity and T-orbital completeness for a selfmap T, respectively.Consequently, we improve and generalize the basic known theorems in the metric fixed point theory.</p>}, number={4}, journal={Results in Nonlinear Analysis}, author={Sehie Park}, year={2023}, month={Nov.}, pages={116–127} }