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since the function f is continuous on R+× X α.
end{cases} Clearly, the function f is continuous.
The function f is continuous on ([0,1]times [0,infty)).
The function f is continuous on X if it is continuous at each points of X.
Thus, by Claim 4.3 the function f is continuous at (x =0).
(iii) If the function f is continuous then (M_{f,k}) is also continuous. .
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Later Lepeltier and San Martin [12] provided an existence result of minimum solution for one-dimensional BSDE where the generator function f is continuous and of linear growth in terms of ((y, z)).
If the function f is a continuous function, does the level set or surface have to be continuous?
The function f is Lipschitz continuous.
(iv) The function f is Lipschitz continuous.
The function f is Lipschitz continuous on (mathcal{L}_{0}).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com