Sliding deck chairs

When I bought my boat, the PO had installed some sort of mat/carpet material and covered the cockpit in it. It gave a lot of traction, but was impossible to clean fish scales out of it and was "shedding" a fine black dust. I removed it and the cockpit looks nicer and is a lot easier to clean. But now my deck chairs slide around in moderate to heavy seas.

Does anyone have suggestions for grippy feet I can add to my chairs? There are lots of no-scratch feet for protecting hardwood floors available online, but those look like the same type of hard rubber/plastic that are already on the chair feet. I think I need something softer like silicone, so it can really grip into the anti-skid texture of the cockpit floor. Does anyone have any suggestions?

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