Sentence examples for classes of mapping from inspiring English sources

Various algorithms and their strong convergence play an important role in finding a common element of the set of fixed (common fixed) point for different classes of mapping(s) and the set of solutions of an equilibrium problem in the framework of Hilbert spaces and Banach spaces; for details we refer to [18 20].

Alber et al. [10] introduced the class of total asymptotically nonexpansive mappings that generalizes several classes of maps that are extensions of asymptotically nonexpansive mappings.

This result has been extended to other important classes of maps.

Shape theory is designed to correct this shortcoming of homotopy theory by replacing homotopy classes of maps by shape morphisms.

The concept of geometrical database is combined with multiple classes of maps generated with particular physical sensors, in order to obtain the world model.

Recent developments in fixed point theory reflect that the iterative construction of fixed points is vigorously proposed and analyzed for various classes of maps in different spaces.

The object studied by Auslander is the set of right equivalence classes of maps ending in Y, we denote this set by [ → Y 〉.

Developments in fixed point theory reflect that the iterative construction of fixed points is proposed and vigorously analyzed for various classes of maps in different spaces.

These classes of maps were extensively studied by many authors (see, e.g., [9, 11 16], to list a few) by virtue of important generalizations of nonexpansive mappings.

These Auslander varieties have to be considered as an important tool for studying the right equivalence classes of maps ending in a given module.

To start with, we need the notion of left equivalence in order to introduce 〈 Y → ] as the set of left equivalence classes of maps starting in Y (or of left minimal maps).