A general concept of multiple fixed point for mappings defined on spaces with a distance
General Mathematics
2017-01-04 v1
Abstract
Our main aim in this paper is to introduce a general concept of multidimensional fixed point of a mapping in spaces with distance and establish various multidimensional fixed point results. This new concept simplifies the similar notion from [A. Roldan, J. Martinez-Moreno, C. Roldan, {\it Multidimensional fixed point theorems in partially ordered complete metric spaces}, J. Math. Anal. Appl. 396 (2012), 536--545]. The obtained multiple fixed point theorems extend, generalise and unify many related results in literature.
Keywords
Cite
@article{arxiv.1701.00517,
title = {A general concept of multiple fixed point for mappings defined on spaces with a distance},
author = {Mitrofan M. Choban and Vasile Berinde},
journal= {arXiv preprint arXiv:1701.00517},
year = {2017}
}