Abstract
In the theories of ordinary differential equations, I to 's stochastic differential equations, and equations in Banach spaces one frequently uses the concept of monotone mapping, introduced in [ 1 ]. This concept is used not only in studying equations with monotone operators, but also in studying other equations (cf. [2-6]). The concept of monotonici ty turned out to be convenient, in the first place, because it is easy to pass to the limit under the sign of a monotone operator, and the investigation of certain equations or others in infinite-dimensional spaces with the help of the method of Galerkin usually reduces to the investigation of equations in finite-dimensional spaces. To the author 's mind there is interest in the detailed s tudy of propert ies of monotone mappings of a finite-dimensional space.
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