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Dictionary

Words, grammatical forms and meanings linked to the ontology.

pseudocontractive en · ADJ

Pronunciation

Etymology

From pseudo- + contractive.

Meanings

  1. (not-comparable) 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.
    • 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 #92;left#92;#123;f#95;i#92;right#92;#125;#95;#123;i#61;1#125;ᴺ and #92;alpha - inverse strongly monotone operators #92;left#92;#123;A#95;i#92;right#92;#125;#95;#123;i#61;1#125;ᴺ and the set of common fixed points of a finite family of (asymptotically) #92;kappa- strictly pseudocontractive mappings #92;left#92;#123;S#95;j#92;right#92;#125;#95;#123;j#61;1#125;ᴹ in Hilbert spaces. 2016, Dang Van Hieu, “Parallel hybrid methods for generalized equilibrium problems and asymptotically strictly pseudocontractive mappings”, in arXiv: