A general concept of multiple fixed point for mappings defined on spaces with a distance-Reference-Cited by-同舟云学术

A general concept of multiple fixed point for mappings defined on spaces with a distance

Published:2017 Issue:3 Volume:33 Page:275-286
ISSN:1584-2851
Container-title:Carpathian Journal of Mathematics
language:
Short-container-title:CJM

Author:

CHOBAN MITROFAN M., ,BERINDE VASILE, ,

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, 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.

Publisher

Technical University of Cluj Napoca, North University Center of Baia Mare

Subject

General Mathematics

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