DOI: 10.24193/fpt-ro.2024.2.02

Authors: Ismat Beg, Irem Eroğlu and Oscar Valero

Abstract: In this paper we prove new fixed point results in partially ordered bicomplete quasi-metric spaces. Our results extends/generalized celebrated results, on the one hand, by Nieto and Rodríguez-López for contraction mappings in partially ordered complete metric spaces and, on the other hand, by Schellekens for contraction mappings in bicomplete quasi-metric spaces. Moreover, it is also shown that neither our assumptions can be weakened nor our results can be deduced from the celebrated Kleene's fixed point theorem. Finally, an application of our results to the asymptotic analysis of recurrence equations is given.

Key Words and Phrases: Quasi-metric, bicomplete, partial order, contraction, monotony, continuity, fixed point, recurrence equation.

2010 Mathematics Subject Classification: 47H10, 54E35, 54E50, 54F05, 54H25.

Published on-line: June 15th, 2024.

Fulltext pdf

Back to volume's table of contents