pseudocontractive

English

Etymology

From pseudo- +‎ contractive.

Pronunciation

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Adjective

pseudocontractive (not comparable)

1. (mathematics) Satisfying the equation ||Tx - Ty|| <= ||x - y|| - α * ||x - y||² 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^[1]:

     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 $\left\{f_{i}\right\}_{i=1}^{N}$ and $\alpha$ - inverse strongly monotone operators $\left\{A_{i}\right\}_{i=1}^{N}$ and the set of common fixed points of a finite family of (asymptotically) $\kappa$- strictly pseudocontractive mappings $\left\{S_{j}\right\}_{j=1}^{M}$ in Hilbert spaces.