Using the idea of Atanassov, we define the notion of intuitionistic Menger spaces as a netural generalizations of Menger spaces due to Menger. We also obtain a new generalized contraction mapping and utilize this cont...Using the idea of Atanassov, we define the notion of intuitionistic Menger spaces as a netural generalizations of Menger spaces due to Menger. We also obtain a new generalized contraction mapping and utilize this contraction mapping to prove the existance theorems of solutions to differential equations in intuitionistic Menger spaces.展开更多
The origin of distance geometry dates back to the 1920s, the work of K. Menger who proposed that geometry should be studied in terms of distance was the beginning of distance geometry. This branch of geometry was rapi...The origin of distance geometry dates back to the 1920s, the work of K. Menger who proposed that geometry should be studied in terms of distance was the beginning of distance geometry. This branch of geometry was rapidly expanded, especially as a consequence of work of L. M. Blumenthal. Recently, distance geometry has found many applications in the fields of statistics and biochemistry etc., and has been noticed by many scientists.展开更多
文摘Using the idea of Atanassov, we define the notion of intuitionistic Menger spaces as a netural generalizations of Menger spaces due to Menger. We also obtain a new generalized contraction mapping and utilize this contraction mapping to prove the existance theorems of solutions to differential equations in intuitionistic Menger spaces.
文摘The origin of distance geometry dates back to the 1920s, the work of K. Menger who proposed that geometry should be studied in terms of distance was the beginning of distance geometry. This branch of geometry was rapidly expanded, especially as a consequence of work of L. M. Blumenthal. Recently, distance geometry has found many applications in the fields of statistics and biochemistry etc., and has been noticed by many scientists.
