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A bijective function is said to be a permutation.
A function is said to be a weak lower solution of the equation (2.3).
A function is said to be a skew function if for all.
A function is said to be a - if it satisfies Mizoguchi-Takahashi's condition (i.e., for all ).
A function is said to be a supersolution of (1.1) if the following holds: (1) ; (2).
A function is said to be a mild solution of (1.1) if satisfies (2.7).
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We consider the following setting: a function is said to be A-harmonic if it is a weak solution of A-harmonic equation.
A function is said to be an -distance if.
Definition: A function is said to be odd if.
Definition: A function is said to be even if.
A function is said to be additive provided, and is said to be exponential provided.
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