English

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

General Mathematics 2017-01-04 v1

Abstract

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 [Choban, M., Berinde, V., {\it A general concept of multiple fixed point for mappings defined on spaces with a distance} (submitted)] and also simplifies some concepts of multiple fixed point considered by various authors in the last decade or so.

Keywords

Cite

@article{arxiv.1701.00518,
  title  = {Multiple fixed point theorems for contractive and Meir-Keeler type mappings defined on partially ordered spaces with a distance},
  author = {Mitrofan M. Choban and Vasile Berinde},
  journal= {arXiv preprint arXiv:1701.00518},
  year   = {2017}
}
R2 v1 2026-06-22T17:39:32.008Z