Journal of Convex Analysis 31 (2024), No. 3, 1021--1034
Copyright Heldermann Verlag 2024
Dislocation Hyperbolic Kernel Function
Lennin Mallma Ramirez
Systems Engineering and Computer Science Program, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil
lenninmr@gmail.com
Nelson Maculan
Systems Engineering and Computer Science Program, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil
maculan@cos.ufrj.br
Adilson Elias Xavier
Systems Engineering and Computer Science Program, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil
adilson.xavier@gmail.com
Vinicius Layter Xavier
Institute of Mathematics and Statistics, Rio de Janeiro State University, Rio de Janeiro, Brazil
A new kernel function is introduced in Mathematical Optimization. This function is called the dislocation hyperbolic kernel function. It is based on the dislocation hyperbolic function. Finally we present some applications of this new function.
Keywords: Dislocation hyperbolic function, Fenchel conjugate, kernel function, self-concordant.
MSC: 46N10.
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