The US rapper has previously been condemned over his antisemitic remarks.
The 48-year-old musician - who has not performed in the UK since he headlined Glastonbury in 2015 - is set to top the bill for all three nights of the festival in London's Finsbury Park in July.
On Sunday, a Pepsi spokesperson said: "Pepsi has decided to withdraw its sponsorship of Wireless Festival."
In the time since he last performed on UK soil, West has drawn criticism for antisemitic X posts, a Super Bowl advert directing people to a swastika T-shirt and a song referencing Hitler.
Sir Keir Starmer said it was "deeply concerning" that West has been booked "despite his previous antisemitic remarks and celebration of Nazism".
"Antisemitism in any form is abhorrent and must be confronted clearly and firmly wherever it appears. Everyone has a responsibility to ensure Britain is a place where Jewish people feel safe and secure," the prime minister said.
West, also known as Ye, has been barred from X over antisemitism on multiple occasions.
In January, West took out a full-page advert in the Wall Street Journal to apologise, titled: "To Those I've Hurt."
"I am not a Nazi or an antisemite," it said. "I love Jewish people."
West attributed his previous outbursts to his bipolar-1 disorder, writing: "In early 2025, I fell into a four-month-long manic episode of psychotic, paranoid and impulsive behaviour that destroyed my life.
"I lost touch with reality. Things got worse the longer I ignored the problem. I said and did things I deeply regret."
The rapper also apologised to the black community, saying he had let it down.
Eghosa Ogbebor was killed in Woolwich on Thursday.
A 16-year-old boy and 19-year-old man have been arrested on suspicion of murder and remain in custody.
A 46-year-old man was also arrested on suspicion of assisting an offender and remains in custody.
Two boys, aged 14 and 16, and an 18-year-old man, who were arrested on Friday in connection with the incident have since been released on bail while enquiries continue.
Officers were called to the scene in Lord Warwick Street, which is close to the Woolwich Ferry and Woolwich Dockyard train station, at around 3.40pm on Thursday.
Eghosa was pronounced dead at the scene and police said his family are being supported by specialist officers.
Detective Chief Inspector Lucie Card, of the Metropolitan Police, said: "Our team of dedicated detectives are continuing enquiries to investigate Eghosa's tragic death.
"Residents in Woolwich may have noticed a large amount of police activity last night, as officers arrested three further people in connection with the investigation.
"We appreciate the concern that Eghosa's death has caused, particularly among the local community who will continue to see an increased police presence around the area."
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DCI Card added: "There may be people who have heard information or witnessed suspicious activity in the area but not yet contacted police. We urge these people to contact us and assist with the investigation.
"We will continue to support and update Eghosa's family as the investigation continues and our thoughts remain with them at this incredibly difficult time."
Following the killing, London mayor Sir Sadiq Khan said: "My thoughts are with the family, friends and wider community in Woolwich following the appalling fatal shooting of 14-year-old boy.
"There is absolutely no place for this heart-breaking violence."
It was the second fatal shooting in the capital in less than a week.
Nahom Medhanie, 26, was shot dead while sitting in a car near Euston station in central London at around 11pm on the previous Saturday.
A spokesperson for the country's defence ministry has since confirmed they expect approval to be given as long as service in the German forces is voluntary.
It comes as the nation moves towards increasing its military footprint, with new incentives to join up and conversations around conscription.
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A change to the law to reintroduce voluntary - for now - military service was made at the end of 2025.
However, late last week, German publication Frankfurter Rundschau noticed another change to Germany's Wehrpflichtgesetz (WPflG) - its Cold War era military service legislation.
This change, when translated into English, means that "male persons must obtain permission from the competent career centre of the Bundeswehr (German armed forces) after reaching the age of 17 if they wish to leave the Federal Republic of Germany for more than three months".
Previously, this would have only applied in times of "tension" or "defence" cases.
However, the WPflG was changed for it to apply universally, with a maximum affected age of 45.
Conscription in Germany was paused in 2011, but the war in Ukraine and subsequent global unrest have sparked discussions about whether it should be returned to mandatory from voluntary status.
The German defence ministry confirmed that the system was in place during the Cold War and "had no practical relevance; in particular, it is not subject to penalties".
Instead, they state the system is intended for use in "an emergency" as the military "must know who may be staying abroad for an extended period".
Exemptions are in the works to prevent "unnecessary bureaucracy", they added.
The UK government has rejected suggestions it could move towards conscription, although it has introduced measures to try to encourage people to join the armed forces.
Germany is trying to increase the number of troops it has in the Bundeswehr from 180,000 to 260,000, with reserves set to reach 200,000.
If the British Royal Air Force, Navy and Army are combined, they number just under 150,000, according to a House of Lords report published last year, including full-time reserves.
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Of these, 82,000 were in the Army, 33,000 were in the Royal Navy or Royal Marines, and 32,000 were in the Royal Air Force.
Like much of NATO, the UK has committed to increasing its defence budget in the coming years, although there are still questions about what this will look like as the Defence Investment Plan is yet to be published.
It comes as weather warnings have been lifted after the worst of the storm swept through the country.
The Met Office said: "Storm Dave will clear away to the northeast on Sunday morning, leaving sunshine and showers across the UK.
"Northern areas will see the heaviest, blustery showers and feel cold, while temperatures elsewhere stay closer to average for early April."
An amber wind warning, covering parts of northern England, Scotland and Wales, expired at 3am on Sunday.
And three yellow warnings across parts of northern England, Scotland and Wales were lifted later in the morning.
Before the amber alert ended, the Met Office had forecast "severe gales" across central and northern areas of the country overnight into Sunday.
Marco Petagna, a spokesperson for the agency, said on Sunday morning that the winds "eased down a bit more quickly than forecast" as the storm blew out, "so the yellow warnings were no longer warranted".
Several major bridges in Scotland had restrictions because of the high winds, including the Queensferry Crossing and the Forth Road Bridge near Edinburgh, Traffic Scotland warned early on Sunday.
The strongest gust overnight was 93mph (150kmh) at Capel Curig in North Wales, while gusts of 75mph (121kmh) were recorded at Emley Moor in West Yorkshire and St Bees Head in Cumbria, and one of 73mph (117kmh) was recorded at Buchan in Aberdeenshire, the Met Office said.
Some Caledonian MacBrayne ferry services on Scotland's west coast were disrupted, and some motorists faced disruption due to fallen trees blocking routes.
Network Rail said buses will replace trains between Manchester Piccadilly and Chester, while ScotRail said it had lifted speed limits that had been placed on some of its services.
In Dublin, pilots faced challenging conditions as they attempted to land in the blustery weather - with footage showing planes wobbling as they neared the runway.
The city's airport said 17 flights were cancelled on Saturday, with dozens of go-arounds and diversions as gusts reached up to 44 knots.
It went on to warn that passengers could face disruption on Sunday because some aircraft and crews were now displaced.
A first-round match in cricket's county championship was affected, as Durham delayed the start of play on day two against and banned spectators from coming to the Riverside Stadium because of storm damage.
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A single flood warning and 18 flood alerts were in place across England, as well as one flood warning in Scotland, as of 12pm.
The Energy Network Association, which represents electricity providers, has said outages and fallen power lines are possible as a result of Storm Dave.
A statement added: "Network operators are increasing staffing for operational teams, and moving spare equipment to where the weather is expected to be most disruptive, so it's ready to use if needed."
The triple lock guarantee means it increases every April by whichever is highest out of inflation, wage growth or 2.5%.
Monday's 4.8% rise - which is in line with average earnings growth - will take the full rate of the new state pension from £230.25 to £241.30 a week.
Meanwhile, the full basic state pension will go from £176.45 a week to £184.90.
The government said committing to the triple lock on pensions is helping to protect households against a cost of living squeeze.
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All of this comes as the Iran war causes global oil prices to surge, with a direct impact on motorists at the petrol pump.
But some critics, including the Institute for Fiscal Studies, have argued that the triple lock should be scrapped - and "a better approach is needed".
Last year, the thinktank had warned the generosity of this policy has a "substantial and growing impact on public finances", especially as the population ages.
The IFS had written: "The OBR estimates that spending on the state pension will rise by around £80bn in today's terms by the 2070s, and over half of this increase is projected to be due to the triple lock.
"But under a more volatile economic environment the triple lock could cost an extra 1.5% of national income - or £44bn in 2025 terms - on top of this."
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Work and Pensions Secretary Pat McFadden said: "I know global shocks, and the effects they have on our living costs, will be increasing anxiety for many households.
"This government will always protect our pensioners, and that's why we are raising the full rate of the new state pension by up to £575 this coming year."
Earlier this week, Reform UK joined other major British political parties in committing to keep the pension triple lock.
At a news conference on Thursday, its economics spokesperson Robert Jenrick said this would be achieved by cutting the benefits bill by billions of pounds.