A general concept of multiple fixed point for mappings defined on spaces with a distance
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CHOBAN, Mitrofan, BERINDE, Vasile. A general concept of multiple fixed point for mappings defined on spaces with a distance. In: Carpathian Journal of Mathematics, 2017, vol. 33, pp. 275-278. ISSN 1584-2851.
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Carpathian Journal of Mathematics
Volumul 33 / 2017 / ISSN 1584-2851 /ISSNe 1843-4401

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


Pag. 275-278

Choban Mitrofan1, Berinde Vasile23
 
1 Tiraspol State University,
2 North University Centre of Baia Mare,
3 King Fahd University of Petroleum and Minerals
 
Proiecte:
 
Disponibil în IBN: 9 martie 2022


Rezumat

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.

Cuvinte-cheie
Coincidence point, distance space, Fixed point