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A study on generalized invexity in separable Hilbert space
International Journal of Statistics and Applied Mathematics · 2018 · Vol. 3(1) · pp. 24–30
Abstract
In this paper, it will be shown that two of the main results of Fan seem invalid, and the remaining ones can be proved under any separable Hilbert space, rather than Rn. In addition, some further results are established, which provide some other characterizations for generalized invexity and generalized monotonicity under separable Hilbert spaces.
Mathematical Inequalities and ApplicationsOptimization and Variational AnalysisFunctional Equations Stability ResultsSeparable spaceHilbert spaceMathematicsRigged Hilbert spaceMonotonic functionPure mathematicsHilbert manifoldSpace (punctuation)Reproducing kernel Hilbert spaceMathematical analysis
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