Two open problems in the fixed point theory of contractive type mappings on quasimetric spaces
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CHOBAN, Mitrofan, BERINDE, Vasile. Two open problems in the fixed point theory of contractive type mappings on quasimetric spaces. In: Carpathian Journal of Mathematics, 2017, vol. 33, pp. 169-180. ISSN 1584-2851.
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Carpathian Journal of Mathematics
Volumul 33 / 2017 / ISSN 1584-2851 /ISSNe 1843-4401

Two open problems in the fixed point theory of contractive type mappings on quasimetric spaces


Pag. 169-180

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: 2 februarie 2023


Rezumat

Two open problems in the fixed point theory of quasi metric spaces posed in [Berinde, V. and Choban, M. M., Generalized distances and their associate metrics. Impact on fixed point theory, Creat. Math. Inform., 22 (2013), No. 1, 23–32] are considered. We give a complete answer to the first problem, a partial answer to the second one, and also illustrate the complexity and relevance of these problems by means of four very interesting and comprehensive examples.

Cuvinte-cheie
contraction mapping, Dislocated space, distance space, F -distance space, First-countable topological space, Fixed point, H-distance space, N-distance space, Quasi metric space