Fixed points for mappings defined on generalized gauge spaces
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CHOBAN, Mitrofan. Fixed points for mappings defined on generalized gauge spaces. In: Carpathian Journal of Mathematics, 2015, vol. 31, pp. 313-324. ISSN 1584-2851.
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Carpathian Journal of Mathematics
Volumul 31 / 2015 / ISSN 1584-2851 /ISSNe 1843-4401

Fixed points for mappings defined on generalized gauge spaces


Pag. 313-324

Choban Mitrofan
 
Tiraspol State University
 
Proiecte:
 
Disponibil în IBN: 19 mai 2023


Rezumat

In this article, the distinct classes of continuous pseudo-gauge structures and pseudometrics (perfect, quasi-perfect, sequentially complete) are defined and studied in depth. The conditions under which the set of fixed points of a given mapping of a space with concrete pseudo-gauge structure is non-empty are determined. Some examples are proposed. 

Cuvinte-cheie
Banach metric scale, Fixed point, Pseudo-gauge structure, pseudometric