Hugh Jackman will be starring in at least one more Wolverine solo movie (tentatively referred to as Wolverine 3), before he's done playing Logan in the X-Men movie franchise. The new film is slated for release in 2017 and shall reunite Jackman with his The Wolverine director James Mangold - but beyond that, details are scarce right now.
David James Kelly, who penned a script for Fox's Daredevil movie reboot that never happened, was previously reported to be working on the Wolverine 3 script (under Mangold's guidance) - possibly borrowing plot elements from the "Old Man Logan" comic book storyline for his screenplay. Patrick Stewart has also indicated that the film might build on the conclusion to X-Men: Days of Future Past, given the... unusual relationship that Stewart's Professor X and Logan now have after the movie's timeline-altering events (as only Charles knows Logan still remembers the original timeline).
The Wrap is reporting that Michael Green has now taken over Wolverine 3 screenwriting duties, with Mangold still actively overseeing the script development process. Green has been quite busy of late; he worked on the screenplays for Blade Runner 2 (which begins shooting next year) and Prometheus 2 (potentially Ridley Scott's next project), in addition to collaborating with Hannibal creator Bryan Fuller on the American Gods TV series adaptation (expected to premiere on Starz in 2016).
Green, of course, contributed to the much-maligned 2011 Green Lantern - though, as one of four writers on the film, it's best to not blame him too much for what happened there. He's done solid work in the superhero genre before on the small screen (see his time working on Smallville and Heroes) - and both Mangold and Jackman should continue to be heavily involved with crafting Wolverine 3 too, especially if it's meant to serve as the sendoff to Jackman's run as the title character.
The X-Men franchise will undergo a major overhaul during the next two years. First, Deadpool (arriving early 2016) will (re-)introduce Ryan Reynolds' Wade Wilson; a few months later, X-Men: Apocalypse will be introducing new, younger, versions of key mutants (like Jean Grey, Cyclops, and Storm) and likely serve as the last time we see the X-Men: First Class leads; thereafter, Channing Tatum's Gambit hits the scene; and finally, Wolverine 3, which (as mentioned before) may bid farewell to Jackman's Logan as well as Stewart's Charles Xavier.
In short: the X-Men franchise cast should look quite different by this time in 2017, potentially setting the stage for the slow-developing X-Force movie to take the 2018 date that's currently reserved for an untitled 20th Century Fox Marvel film. However, it seems as though Wolverine 3 will mostly just focus on bringing the story of Jackman's Logan to a satisfying conclusion (not setting up future movies/adventures).
... And seeing as Mangold's The Wolverine is one of the stronger X-Men films to date (its weak ending aside), that bodes well for Wolvie's last ride.
Fantastic Four opens August 7th, 2015, Deadpool on February 12th, 2016, X-Men: Apocalypse on May 27th, 2016, Gambit on October 7th, 2016, Wolverine 3 (not the official title) on March 3rd, 2017, Fantastic Four 2 on June 9th, 2017, and some as-yet unspecified X-Men film on July 13th, 2018.
Source: The Wrap