expression
without being discouraged by this; without letting this put you off; without being held back by this
Fixed expression used when inviting someone to try again or continue despite a previous failure or bad experience. Often followed by また or また〜してください.
これに懲りずに、また遊びに来てくださいね。
Please don't let this discourage you—come visit again.
失敗しても、これに懲りずにまた挑戦しよう。
Even if you fail, don't be discouraged and try again.