Flight Crew Instrument; Flight Crew Air Transport Pilot (ATP); Flight Crew Multiengine
Flight Crew Last 90 Days 163; Flight Crew Type 2302
Situational Awareness
Aircraft Equipment Problem Less Severe
General Maintenance Action
Aircraft
While climbing out from the ZZZ airport; during the after takeoff checklist the first officer noticed green 'gear down' lights were illuminated along with the red 'gear disagreement' lights. Along with that; we could tell there was a vibration and the gear must still be down. We ran the appropriate checklists; sent a message to dispatch requesting data to support our initial idea that we may have plenty of gas to continue to [our destination] additionally sent a message to [Maintenance Control] to get their input and whether to continue to [our destination] or return to ZZZ. It took a while to hear back from both entities (in fact; we never did hear back from [Maintenance Control]); and; after brainstorming; decided to continue to [our destination] as the safest course of action. Landing with plenty of gas along with great weather and the security of knowing; after multiple attempts; the gear would in fact stay down and locked.
B737 Captain reported being unable to retract landing gear.