RPTED SIT IN WHICH A HS25 INBOUND SDL RECEIVED A TCASII RA FIRST ON A VFR C172 OUTSIDE SDL'S AIRSPACE AND THEN ON AN UNKNOWN VFR ACFT FLYING WITHOUT COM THROUGH SDL'S AIRSPACE. BOTH RA'S REQUIRED EVASIVE ACTION BY THE HS25 TO AVOID EACH ACFT NOT VISUALLY SIGHTED.

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I WAS WORKING LCL CTL WHEN I ACCEPTED DATA TRANSFER ON AN HS25; VISUAL APCH FROM THE NORTH (PHOENIX TRACON IS OUR APCH CTL). SHORTLY AFTER TAKING THE TAG; I NOTICED A VFR TARGET; OPPOSITE DIRECTION AT 4500 FT. THE HS25 WAS DSNDING THROUGH 6000 FT. WHEN THEY CAME OVER TO MY FREQ; I ISSUED TFC. THE FLC REPLIED HE HAD THE TARGET ON TCASII. I TOLD HIM TO TELL ME WHEN HE HAD THE ACFT VISUALLY. ABOUT THAT TIME THE VFR PIPED UP ON FREQ AND IDENTED HIMSELF AS A C172 THAT HAD DEPARTED SOME MINS BEFORE AND WAS NOW 500 FT ABOVE AND 3-4 MI OUTSIDE OF MY AIRSPACE. I ISSUED THE C172 TFC ON THE HS25. I THEN REISSUED TFC TO THE HS25. HE REPLIED HE WAS GETTING A TCASII RA AND WAS MANEUVERING TO AVOID THE TFC. WHILE HE WAS XMITTING THE CONFLICT ALERT WENT OFF. WHEN THE ACFT HAD PAST; I TOLD THE PLT THAT HE MIGHT BE BETTER OFF IN THE FUTURE TALKING TO PHOENIX APCH WHILE IN THEIR AIRSPACE. THE HS25 WAS RE-ESTABLISHED TOWARD THE ARPT AND I IMMEDIATELY NOTICED HE HAD TFC CONVERGING; SQUAWKING VFR; LEVEL AT 3500 FT. I ISSUED THE TFC. THE HS25 REPLIED HE WAS LOOKING; THEN TOLD ME HE WAS GETTING ANOTHER RA AND WAS RESPONDING. HE MANEUVERED TO AVOID THE SECOND ACFT. I SHOULD NOTE THAT THE SECOND ACFT WAS WELL INSIDE MY AIRSPACE AND NOT TALKING TO ME. I TAGGED UP THE TARGET AND WE WATCHED IT FLY TO A NEARBY ARPT AND LAND (FALCON FIELD). WE HAD THE PLT CALL US. HE SAID HE DIDN'T KNOW HE WAS IN OUR AIRSPACE; BUT HE SAW THE HAWKER MANEUVERING TO AVOID HIM. THE PLT OF THE C172 CALLED LATER ALSO. HE CHASTISED ME FOR BEING 'CONDESCENDING.' I CAN THINK OF FEW THINGS LESS PRODUCTIVE THAN BEING ON ONE CTLR'S FREQ WHILE IN ANOTHER'S AIRSPACE. I GUESS THAT COULD BE CONSIDERED 'CONDESCENDING.' HOWEVER IF THE C172 HAD BEEN RECEIVING ADVISORIES FROM PHOENIX APCH; OR AT LEAST MONITORING THEIR FREQ; HE WOULD HAVE HAD A LOT MORE KNOWLEDGE OF THE TFC AROUND HIM; AND A LOT MORE LEAD TIME TO SEE AND AVOID. AS FOR THE INTRUDER; I GUESS THERE IS SOMETHING MORE USELESS THAN BEING IN ONE CTLR'S AIRSPACE ON ANOTHER'S FREQ -- BEING IN SOMEONE'S AIRSPACE AND NOT KNOWING IT.