pseudocontractiveとは 意味・読み方・使い方

発音

形容詞

pseudocontractive (not comparable)

1. (mathematics) Satisfying the equation ||Tx - Ty|| <= ||x - y|| - α * ||x - y|| where T is the mapping that is pseudocontractive, x and y are points in the metric space, ||.|| denotes the norm in the metric space, and α is a constant.
   • 2016, Dang Van Hieu, “Parallel hybrid methods for generalized equilibrium problems and asymptotically strictly pseudocontractive mappings”, in arXiv‎:

     In this paper, we propose two novel parallel hybrid methods for finding a common element of the set of solutions of a finite family of generalized equilibrium problems for monotone bifunctions ${\displaystyle \left\{f_{i}\right\}_{i=1}^{N}}$ and ${\displaystyle \alpha }$ - inverse strongly monotone operators ${\displaystyle \left\{A_{i}\right\}_{i=1}^{N}}$ and the set of common fixed points of a finite family of (asymptotically) ${\displaystyle \kappa }$- strictly pseudocontractive mappings ${\displaystyle \left\{S_{j}\right\}_{j=1}^{M}}$ in Hilbert spaces.