Question: Have Alice Walker and Halldór Laxness both won a Nobel Prize in Literature?

Context paragraphs:
Auður Laxness: Auður Sveinsdóttir Laxness (1918-2012) was an Icelandic writer and craftswoman, credited with influencing the design and popularity of the Icelandic Lopapeysa sweater during the mid-20th century.  Her husband was Icelandic Nobel Literature laureate Halldór Laxness, and Auður worked as his secretary and writing collaborator for many years.

Independent People: Independent People (Icelandic: "Sjálfstætt fólk" ) is an epic novel by Nobel laureate Halldór Laxness, originally published in two volumes in 1934 and 1935; literally the title means "Self-standing [i.e. self-reliant] folk".  It deals with the struggle of poor Icelandic farmers in the early 20th century, only freed from debt bondage in the last generation, and surviving on isolated crofts in an inhospitable landscape.

Guðný Halldórsdóttir: Guðný Halldórsdóttir (born 23 January 1954) is an Icelandic film director and screenwriter.  She has directed eight films since 1984.  Her 2007 film "The Quiet Storm" was entered into the 30th Moscow International Film Festival.  Her father was writer and 1955 Nobel prize winner Halldór Laxness, while her mother was writer and textile designer Auður Laxness.

Bjarni Bjarnason: Bjarni Bjarnason is an Icelandic writer born on 9 November 1965 in Reykjavík.  He started writing poetry in his teens and by twenty had a play.  He has received the Tómas Guðmundsson Award, Halldór Laxness Literature Award, and in 1996 was nominated for the Icelandic Literature Prize.

Alice Walker: Alice Malsenior Walker (born February 9, 1944) is an American novelist, short story writer, poet, and activist.  She wrote the critically acclaimed novel "The Color Purple" (1982) for which she won the National Book Award and the Pulitzer Prize for Fiction.  She also wrote the novels "Meridian" (1976) and "The Third Life of Grange Copeland" (1970), among other works.

Halldór Laxness: Halldór Kiljan Laxness (] ; born Halldór Guðjónsson; 23 April 1902 – 8 February 1998) was a twentieth-century Icelandic writer.  Laxness wrote poetry, newspaper articles, plays, travelogues, short stories, and novels. Major influences included August Strindberg, Sigmund Freud, Sinclair Lewis, Upton Sinclair, Bertolt Brecht and Ernest Hemingway.  In 1955 he was awarded the Nobel Prize in Literature; he is the only Icelandic Nobel laureate.

The Atom Station: The Atom Station (Icelandic: "Atómstöðin" ) is a novel by Icelandic author Halldór Laxness, who was awarded the Nobel Prize in Literature in 1955.  The initial print run sold out on the day it was published, for the first time in Icelandic history.

Halldór Laxness (album): "For the Nobel Prize–winning Icelandic author, see Halldór Laxness"

The Fish Can Sing: The Fish Can Sing (Icelandic: "Brekkukotsannáll" ) is a 1957 novel by Icelandic author Halldór Laxness, who was awarded the Nobel Prize in Literature in 1955.

Memoir of Halldór Laxness: Memoir of Halldór Laxness was published in Iceland from 2003.  It is the memoir of novelist and Nobel Laureate, Halldór Laxnessf> and is in three volumes:

Supporting paragraphs: Alice Walker Halldór Laxness
Answer: no