A B737 CAPT LANDED SAFELY AT SJC AFTER THE FLAPS BECAME STUCK DURING APCH.

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A FLAP 30 DEG LNDG WAS BRIEFED FOR RWY 30L. ATC ASKED US TO MAINTAIN 180 KTS TO A 5 MI FINAL. WE WERE CONFIGURED WITH FLAPS 5 DEGS; GEAR DOWN; APCHING 5 DME. (GEAR WAS EXTENDED EARLY TO HELP WITH THE DSCNT.) I CALLED FOR FLAPS 15 DEGS; LNDG CHK AT ABOUT 5.5 DME AND BEGAN TO SLOW. FLAPS 25 DEGS WAS CALLED FOR AS THE SPD SLOWED. AT ABOUT 900-1000 FT; I CALLED FOR FLAPS 30 DEGS AFTER NOTING THAT THE AIRSPD WAS NOW 168 KTS. THE FO CONFIRMED THAT WE WERE BELOW MAX FOR FLAPS 30 DEGS. THE FO SELECTED FLAPS 30 DEGS AND INFORMED ME THAT FLAPS 25 DEGS WAS STILL INDICATED. I ELECTED TO CONTINUE WITH THE LNDG AND ASKED THE FO TO ADD 5 KTS TO THE BUG. WE DID GET A GPWS 'FLAPS; TOO LOW; FLAPS.' HOWEVER; AFTER CONFIRMING THAT FLAPS 25 DEGS WAS STILL SHOWING; I INDICATED TO THE FO TO GO AHEAD AND USE THE 'FLAP INHIBIT' SWITCH. THE LNDG WAS ACCOMPLISHED WITHOUT FURTHER INCIDENT. I FELT THAT THE LNDG COULD BE MADE SAFELY AS WE WERE ON GLIDE PATH; TO A LONG; DRY RWY. WE WERE ALSO STABLE AND CONFIGURED WITH WHAT I FELT WAS A GOOD AIRSPD. I WAS UNSURE ABOUT RAISING THE FLAPS FOR A GAR AS EVERY INDICATION WAS THAT THEY WERE STUCK. THE ACFT WAS HANDLING WELL. AS A RESULT; I MADE THE DECISION TO STICK WITH WHAT WE HAD AND LAND.