Different name in Passport and Residence Permit

I recently corrected the name and surname in my (Indian) passport while renewing it. Is there’s any issue in travelling with my work residence permit (Schengen country) which has the old name? I have all necessary documents.

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Is full name in passport necessary?

You must furnish your full name as you want it to appear on your passport.

How do I change my name on my UK resident card?

Apply for a replacement BRP online. You'll need to pay a fee. You must apply for a new BRP within 3 months....You must apply for a new BRP straight away if any of these things change:

name, for example if you've got married.

nationality.

facial appearance.

date of birth, for example if it was wrong.

gender.

Is UK visa valid after name change?

Your name or personal details have changedYou must replace your visa with a biometric residence permit if your overall stay in the UK is longer than 6 months and any of the following details change: name.

Can You Travel With A Different Last Name On Your Passport And Green Card?

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