See pseudocontractive on Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "pseudo", "3": "contractive" }, "expansion": "pseudo- + contractive", "name": "prefix" } ], "etymology_text": "From pseudo- + contractive.", "head_templates": [ { "args": { "1": "-" }, "expansion": "pseudocontractive (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ { "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "English terms prefixed with pseudo-", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "examples": [ { "ref": "2016, Dang Van Hieu, “Parallel hybrid methods for generalized equilibrium problems and asymptotically strictly pseudocontractive mappings”, in arXiv:", "text": "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 #x5C;left#x5C;#x7B;f#x5F;i#x5C;right#x5C;#x7D;#x5F;#x7B;i#x3D;1#x7D;ᴺ and #x5C;alpha - inverse strongly monotone operators #x5C;left#x5C;#x7B;A#x5F;i#x5C;right#x5C;#x7D;#x5F;#x7B;i#x3D;1#x7D;ᴺ and the set of common fixed points of a finite family of (asymptotically) #x5C;kappa- strictly pseudocontractive mappings #x5C;left#x5C;#x7B;S#x5F;j#x5C;right#x5C;#x7D;#x5F;#x7B;j#x3D;1#x7D;ᴹ in Hilbert spaces.", "type": "quote" } ], "glosses": [ "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." ], "id": "en-pseudocontractive-en-adj-00tkbfrE", "links": [ [ "mathematics", "mathematics" ] ], "raw_glosses": [ "(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." ], "tags": [ "not-comparable" ], "topics": [ "mathematics", "sciences" ] } ], "sounds": [ { "audio": "LL-Q1860 (eng)-Flame, not lame-pseudocontractive.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/e/ee/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudocontractive.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudocontractive.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/e/ee/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudocontractive.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudocontractive.wav.ogg" } ], "word": "pseudocontractive" }
{ "etymology_templates": [ { "args": { "1": "en", "2": "pseudo", "3": "contractive" }, "expansion": "pseudo- + contractive", "name": "prefix" } ], "etymology_text": "From pseudo- + contractive.", "head_templates": [ { "args": { "1": "-" }, "expansion": "pseudocontractive (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ "English adjectives", "English entries with incorrect language header", "English lemmas", "English terms prefixed with pseudo-", "English terms with quotations", "English uncomparable adjectives", "Pages with 1 entry", "Pages with entries", "en:Mathematics" ], "examples": [ { "ref": "2016, Dang Van Hieu, “Parallel hybrid methods for generalized equilibrium problems and asymptotically strictly pseudocontractive mappings”, in arXiv:", "text": "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 #x5C;left#x5C;#x7B;f#x5F;i#x5C;right#x5C;#x7D;#x5F;#x7B;i#x3D;1#x7D;ᴺ and #x5C;alpha - inverse strongly monotone operators #x5C;left#x5C;#x7B;A#x5F;i#x5C;right#x5C;#x7D;#x5F;#x7B;i#x3D;1#x7D;ᴺ and the set of common fixed points of a finite family of (asymptotically) #x5C;kappa- strictly pseudocontractive mappings #x5C;left#x5C;#x7B;S#x5F;j#x5C;right#x5C;#x7D;#x5F;#x7B;j#x3D;1#x7D;ᴹ in Hilbert spaces.", "type": "quote" } ], "glosses": [ "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." ], "links": [ [ "mathematics", "mathematics" ] ], "raw_glosses": [ "(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." ], "tags": [ "not-comparable" ], "topics": [ "mathematics", "sciences" ] } ], "sounds": [ { "audio": "LL-Q1860 (eng)-Flame, not lame-pseudocontractive.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/e/ee/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudocontractive.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudocontractive.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/e/ee/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudocontractive.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudocontractive.wav.ogg" } ], "word": "pseudocontractive" }
Download raw JSONL data for pseudocontractive meaning in All languages combined (2.5kB)
{ "called_from": "page/1412", "msg": "gloss may contain unhandled list items: 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.", "path": [ "pseudocontractive" ], "section": "English", "subsection": "adjective", "title": "pseudocontractive", "trace": "" }
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