Sentence examples for maps was proved from inspiring English sources

The following more general common fixed point theorem for 1-subcommutative maps was proved in [12].

The counterpart to Theorem 3.1 for weakly contractive maps was proved by Frigon [8].

The existence of the conjugating map for the class of critical real analytic circle maps was proved by Yoccoz [8] and extended by Świątek [6, 7].

GDOES, in combination with X-SEM elemental maps, was proved to be a fast and accurate technique to monitor composition in-depth changes during oxidation, providing unique information regarding the oxide structure formation.

The local accuracy of the MPS maps was proven by an independent quantitative validation based on nine extra measurement lines and 94 bore hole samples.

The specifications of the introduced special logistic maps are proved to be completely controlled through eight design problems with their Lyapunov exponent.

A best proximity pair for a set-valued map with respect to a set-valued map is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive retract metric spaces.

A particular case of Rassias' theorem regarding the Hyers-Ulam stability of the additive mapping was proved by Aoki (see [4]).

While we acknowledge that maps are proven and powerful tools for facilitating social interaction, we seek to illuminate how the tools themselves set the communicative conditions for that interaction.

Best proximity point theorems for relatively u-continuous mapping were proved in [9] and [10].

Under suitable conditions, some strong converge theorems to a fixed point of the nonexpansive mapping are proved.