ZFW CTLR EXPERIENCED OPERROR AT FL340 WHEN UNABLE TO ESTABLISH COM WITH CONFLICTING TFC AND ISSUE CORRECTIVE ACTION.

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E145; ATTEMPTED TO CONTACT AT XA36 LCL WITH NO RESPONSE. ADVISED PREVIOUS CTLR TO ATTEMPT CONTACT WITH EMBRAER WITH NO SUCCESS. MADE SEVERAL MORE ATTEMPTS TO CONTACT ERJ WITH NO SUCCESS. ISSUED ERJ XING RESTR AND RECEIVED A REPLY FROM ANOTHER COMPANY ACFT ON FREQ GIVING ME THE IMPRESSION ERJ WAS ON FREQ. Y WAS HANDED OFF FROM ANOTHER SECTOR AT FL340. WHEN ACFT WERE APPROX 23 MI APART CONFLICT ALERT ACTIVATED BTWN ERJ AND Y. ATTEMPTED TO START ERJ DOWN TO FL330 THEN ISSUED XING RESTR WITH NO REPLY. RADAR ASSOCIATE CTLR COORDINATED WITH PREVIOUS SECTOR TO TURN Y 40 DEGS R AND DSND TO FL330; THAT CTLR ADVISED THEY WERE NOT IN CONTACT WITH Y. ASSOCIATE CTLR THEN WENT BACK ANOTHER SECTOR TO ZHU TO ISSUE THE SAME CTL INSTRUCTION TO Y. RADAR ASSOCIATE WAS ADVISED THAT ZHU WAS NOT IN CONTACT WITH Y. MEANWHILE I MADE A BROADCAST IN THE BLIND TO Y TO TURN 90 DEGS R AND DSND TO FL320 WITH NO RESPONSE. THEN BROADCAST IN THE BLIND TO ERJ TO TURN 60 DEGS R WITH NO RESPONSE; RADAR ASSOCIATE WAS COORD WITH PREVIOUS 2 SECTORS IN AN ATTEMPT TO CONTACT ERJ WITHOUT RESULT. SUPVR MADE 3 PHONE CALLS TO COMPANY OPS BUT NOBODY ANSWERED THE PHONE. Y SHOWED UP ON MY FREQ WHEN THE ACFT WERE 3.6 MI APART; I IMMEDIATELY ISSUED Y A 40 DEG R TURN AND DSNDED HIM IMMEDIATELY TO FL320; SEPARATION WAS REESTABLISHED. ONE OF THE CONTRIBUTING FACTORS IN THIS ERROR WAS THE LACK OF 121.5 THE EMER FREQ IN OUR CTR. THE ONLY WAY WE HAVE TO COMMUNICATE WITH ACFT IN AN EMER SITUATION IS THROUGH THEIR COMPANY OR ANOTHER ACFT. THERE SHOULD BE AT LEAST ONE CENTRALLY LOCATED SECTOR IN EVERY CTR WITH THE ABILITY TO XMIT ON 121.5. IN LIGHT OF TODAY'S SECURITY CONCERNS EVERY NORDO ACFT IS SUSPICIOUS; NOT TO MENTION THE DANGEROUS TFC SITUATIONS THAT COULD BE IMMEDIATELY RECTIFIED.