Monotone Picard Maps in Relational Metric Spaces

Mihai Turinici ()
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Mihai Turinici: A. Myller Mathematical Seminar, A. I. Cuza University, 700506 Iaşi, Romania

Mathematics, 2025, vol. 13, issue 21, 1-15

Abstract: The 2008 fixed point result on rs-relational metric spaces due to Jachymski is equivalent with the classical 1922 Banach Contraction Principle. This is also valid for the 1961 statement in metric spaces due to Edelstein, or the 2005 fixed point result in quasi-ordered metric spaces obtained by Nieto and Rodriguez-Lopez.

Keywords: relational metric space; global strongly Picard operator; Banach Contraction Principle; monotone application; connectedness; parametric condition (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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