Fixed points for mappings defined on generalized gauge spaces


Choban, Mitrofan M.


Abstract

carpathian_2015_31_3_313_324_abstract

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carpathian_2015_31_3_313_324

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.

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Author(s)

Choban, Mitrofan M.