Kodak AF 3x Optical Aspheric Lens doesn't turn on/ lens stuck.

SOURCE: My camera shuts off when I my zoom is nearly halfway through

Make sure your batter is fully charged, and is not bad. This kind of reaction can happen with a weak battery or partly charged.
If that is not it, then the camera needs repair.

SOURCE: camera wont stay on, lense opens and the powers off

If the camera has recently been dropped it may have lens damage that is preventing it from powering up. If it hasn't been dropped, your problem may be due to weak/worn out batteries or corrosion on the battery contacts inside the camera which can prevent the full power of the batteries from flowing into the camera. Viewing pics takes much less power than zooming or taking photos, so the actual state of the batteries can be elusive. Try this free fix before you do anything else: remove the batteries and wipe the camera contacts firmly with a dry cloth (heavy corrosion may require cleaning with a wire brush, steel wool, or sandpaper). Remove any residue that may have fallen into the battery compartment during cleaning, then wipe both ends of the batteries, place them back in the camera and give them a good charge (assuming that you're using rechargeable batteries). This cleaning clears the problem about 90% of the time. If it doesn't work for you, your batteries may need to be replaced, or the camera may have a problem that requires professional repair.

SOURCE: kodak 8.2 af 3x optical lens is stuck and will not

Fixing a Lens Error on a Digital Camera

This has to be THE most common failure mode for a digital camera. Some common error messages that might show up on the LCD's of cameras with this problem include “E18 lens error”, or “lens error, restart camera”. Some cameras might show nothing at all, but merely make a beeping noise as the lens goes out, then in, then the camera shuts off. Sometimes the lens won't even move.
The problem is actually quite common throughout all camera brands. Usually it's sand or grit interfering with the lens extension mechanism. Or the camera's been dropped with the lens extended. Or the camera has been powered on, but the lens had been blocked preventing its extension. Or the battery ran down with the lens extended. Believe it or not, one BIG contributor to lens errors is using a camera case. Sand, gunk, case fibers, etc... accumulate at the bottom of the case. These materials love to cling to the camera by electrostatic build-up from the camera rubbing against the side of the case (especially those cases with soft fibrous intreriors). Once these materials work their way into the lens mechanism, that's all she wrote. I have many Canon's, and NEVER use a case for this very reason.
A camera owner that suffers this problem may have no recourse for having the camera repaired. Many camera makers will not honor repairing this problem under warranty as they claim it is due to impact damage to the camera, or sand or debris getting into the lens gearing mechanism (neither of which is covered under warranty). The quoted repair cost is usually close to or more than what the camera is actually worth.
Fortunately, about half the cameras that suffer this failure can easily be fixed by one of the following methods. None of these methods involve opening the camera, although some have potential to cause other damage to the camera if excessively done. If the camera is still under warranty, before trying any of these, please please first contact your camera's maker to see if they'll cover the repair, or to determine how much they'll charge for the repair. Who knows, you might get lucky. But if they quote you a number that's higher than the value of your camera, you may want to consider the following methods.
The methods are listed in the order of risk of damaging your camera. Thus make sure you try them in the listed order. And remember, these fixes (especially #6 and 7) should only be considered for a camera that's out of warranty, who's cost of repair would be excessive, and would otherwise be considered for disposal if unrepaired:
Fix #1: Remove the batteries from the camera, wait a few minutes. Put a fresh set of batteries back in (preferably rechargeable NiMH 2500mah or better) and turn the camera on. If that didn't work, try pressing and holding the Function or OK button while turning the camera on.
Fix #2: Remove the batteries, then remove the memory card. Then install new batteries, and turn on the camera. If you get an Error E30, it means you don't have a memory card installed, so turn it off, slip in the memory card and turn it on one last time.
Fix #3: Insert the cameras Audio/Video (AV) cable, and turn the camera on. Inserting this cable ensures that the camera's LCD screen remains off during the start process. Thus extra battery power is available to the camera's lens motor during startup. This extra power can be useful in overcoming grit or sand particals that may be jamming the lens. If the AV cable doesn't fix the lens error by itself, consider keeping this cable installed while trying fixes 4, 5, and 7 as a means to provide extra help to these fixes. But note that I DON'T recommend keeping the cable installed during Fix 6 as you may damage the AV port while tapping the camera. Reinsert the cable only AFTER tapping the camera.
Fix #4: Place the camera flat on its back on a table, pointed at the ceiling. Press and hold the shutter button down, and at the same time press the power-on button. The idea is that the camera will try to autofocus while the lens is extending, hopefully seating the lens barrel guide pins in their slots.
Fix #5: Blow compressed air in the gaps around the lens barrels with the idea of blowing out any sand or grit that may be in there jamming the lens. Other variations include blowing with a hair dryer in “no heat” setting, or sucking the gaps with a vacuum (careful with this one).
Now we're entering into the realm of potentially damaging your camera in conducting the fix. There is definitely some risk here, so take care when conducting the following two fixes.
Fix #6: Repeatedly tap the padded/rubber usb cover on a hard surface with the intent of dislodging any particles that may be jamming the lens. Other variations include hitting a side of the camera against the palm of your hand. A lot of people have reported success with this method. HOWEVER, there is also some potential for damaging or dislodging internal components with this method, such as unseating ribbon cables, or cracking LCD screens.
Fix #7: Try forcing the lens. More people have reported success with this method than with any of the other methods. HOWEVER, there's obviously some potential for damaging your camera by using this method. Variations include gently pulling, rotating, and/or twisting the lens barrel while hitting the power button. Attempt to gently straighten or align the barrel if it's crooked or twisted. Another variation includes looking for uneven gaps around the lens barrel, and then pushing on the side of the lens barrel that has the largest gap (note pushing the lens barrel all the way in is NOT recommended as it may become stuck there). While doing any of the above, listen for a click that indicates that the lens barrel guide pins may have reseated in their guide slots. If you hear this click, immediately stop and try the camera.

SOURCE: camera wont stay on, lense opens and the powers off

Just about all electronic devices made now go through a self diagnostic phase before they power completely up. It comes on at low power and checks every circuit in the device and if it finds something wrong it immediately shuts down to prevent damage to the other circuits. That sounds like what is happening to your Camera. Although I am not familiar with your camera I am very familiar with Electronics in general. I would look first at my batteries and the battery compartment. Any broken or misaligned pieces in the battery compartment or perhaps bad batteries. If you can find nothing there and it is new return it. If none of the above applies you might try going on the internet and entering your make, model, etc of your camera and get the factory web site. Don't pay for technical help, it's a waste of money because you probably know more about it than the so called tech you're paying. Anyway, usually there is pages that other people have submitted problems with the same camera on and I'm pretty sure others like yours have had the same problem and usually someone else has discovered the root of the problem and submitted a solution. It could be something minor or something major but being a Camera the electronics will be confined to a small Microprocessor and in what is called a 'Flat Pack'. This is a SMD [Surface Mount Device] and will require a new board. If it's used try some of the stores on the internet that might handle items like it that are used and for parts. I mention this last but again if used, contact the manufacturer directly, a lot of times they may have you send it in and they will fix it for little to nothing. Act disappointed and brag on their product and maybe they will send you a new one. It has happened, they want to keep a good reputation and they will respond to customers who contact them directly. I hope this helps, I know this is what I would do if it were mine. If I can be of any other assistance please feel free to contact me, I do this to help others and I am willing to stay with someone until their problem is solved.Gillight