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Something can be said about their relative merits with respect to the same consideration.
Then, is a quasi-invex function with respect to the same and on.
hold, then f is a semistrictly preinvex function on X with respect to the same η.
Therefore, is a invariant quasimonotone mapping with respect to the same and on.
Hence, is a pseudoinvex function with respect to the same and on.
Thus, f is not a preinvex function with respect to the same η.
Then, f is semistrictly prequasiinvex with respect to the same η on Γ. Proof.
Hence, is a quasi-invex function with respect to the same and on.
then f is a G-preinvex function on X with respect to the same η.
Hence, is a invariant pseudomonotone mapping with respect to the same and on.
Thus, is a strongly pseudoinvex function with respect to the same and on.
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