Multiple fixed point theorems for contractive and Meir-Keeler type mappings defined on partially ordered spaces with a distance

• Main Authors: Mitrofan M Choban, Vasile Berinde
• Format: Article
• Language: English
• Published: Universitat Politècnica de València 2017-10-01
• Series: Applied General Topology
• Subjects: distance space; partial order; symmetric space; quasi-metric space; $H$-distance; contraction condition; multiple fixed point.
• Online Access: https://polipapers.upv.es/index.php/AGT/article/view/7067

We introduce and study a general concept of multiple fixed point for mappings defined on partially ordered distance spaces in the presence of a contraction type condition and appropriate monotonicity properties. This notion and the obtained results complement the corresponding ones from [M. Choban, V. Berinde, A general concept of multiple fixed point for mappings defined on  spaces with a distance, Carpathian J. Math. 33 (2017), no. 3, 275--286] and also simplifies some concepts of multiple fixed point considered by various authors in the last decade or so.