There's a concept in marketing called the product life cycle. It suggests that brands are introduced and, if they survive, go through a period of growth, then maturity as growth slows down, and finally decline. Decline comes as competitors nibble at the brand position and a changing environment makes the brand less relevant.
Good marketers know that decline is not inevitable. If you see the forces of change and react to them, a brand can be re-positioned and re-vitalized to keep it relevant and profitable.
Some of the re-positioning stories are dramatic. Jack-in-the-Box at one time was a hamburger chain facing huge competitive pressure from McDonald's. They were competing head-to-head, which is seldom a good strategy when you're the little brand competing with a well funded and entrenched competitor like McDonald's. To re-position, Jack blew up its logo/mascot, declaring it would become something different. Here's an ad from the 1980s to signal customers that Jack-in-the-Box was changing.
Is JIB as big as McDonald's? No. But it has established a differentiated niche for itself and no longer competes head-to-head with the market leader (which, by the way, has troubles of its own).
There are lots of examples of big brands trying to re-position. It isn't easy to change your brand image, but survival often requires it. Currently, the Lincoln Motor Company (a resurrected name) is trying to make that brand relevant in a market where Mercedes, BMW and Audi have dominated. Cadillac started a re-positioning campaign several years ago, using rap stars to communicate its relevance to younger buyers. The jury is out on both of these, but at least they're trying.