Transformation of Quasiconvex Functions to Eliminate Local Minima
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-018-1223-7
Abstract: Quasiconvex functions present some difficulties in global optimization, because their graph contains “flat parts”; thus, a local minimum is not necessarily the global minimum. In this paper, we show that any lower semicontinuous quasiconvex function… read more here.
Keywords: quasiconvex function; global minimum; quasiconvex functions; local minima ... See more keywords
Convex and quasiconvex functions on trees and their applications
Sign Up to like & getrecommendations! Published in 2017 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2017.07.012
Abstract: Abstract We introduce convex and quasiconvex functions on trees and prove that for a tree the eccentricity, transmission and weight functions are strictly quasiconvex. It is shown that the Perron vector of the distance matrix… read more here.
Keywords: distance signless; distance; signless laplacian; quasiconvex functions ... See more keywords
New Parameterized Inequalities for η-Quasiconvex Functions via (p, q)-Calculus
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DOI: 10.3390/e23111523
Abstract: In this work, first, we consider novel parameterized identities for the left and right part of the (p,q)-analogue of Hermite–Hadamard inequality. Second, using these new parameterized identities, we give new parameterized (p,q)-trapezoid and parameterized (p,q)-midpoint… read more here.
Keywords: via calculus; new parameterized; parameterized inequalities; inequalities quasiconvex ... See more keywords