Short answers, pulled from the story.
John Fletcher was an English playwright baptised on the 20th of December 1579 in Rye, Sussex. He succeeded William Shakespeare as house playwright for the King's Men and was among the most prolific and influential dramatists of his era, dying of the plague in August 1625.
Fletcher collaborated with Shakespeare on at least three works: Henry VIII, The Two Noble Kinsmen, and the lost Cardenio, all written around 1613. Fletcher also wrote The Woman's Prize, or the Tamer Tamed, a solo sequel to Shakespeare's The Taming of the Shrew.
Fletcher defined tragicomedy in the preface to The Faithful Shepherdess as a form "not so called in respect of mirth and killing, but in respect it wants deaths, which is enough to make it no tragedy; yet brings some near it, which is enough to make it no comedy".
Francis Beaumont was Fletcher's most important early collaborator. The two wrote together for nearly a decade, first for the Children of the Queen's Revels and then for the King's Men. Their partnership ended after Beaumont suffered what was probably a stroke in 1613; Beaumont died in 1616.
Fletcher produced or was credited with close to fifty plays during his career. The first Beaumont and Fletcher folio of 1647 collected 35 plays, and a second folio in 1679 added 18 more, for a total of 53, though some attributions remain disputed by scholars.
By around 1710, Shakespeare's plays were being performed more frequently than Fletcher's, and the following century saw a steady erosion of his stage presence. By 1784, Thomas Davies noted that only two of his plays were still being performed, and since then Fletcher has become primarily a subject for specialists and occasional revivals.