The techniques developed for non-linear paging can be extended to other online optimization problems with non-linear constraints by adapting the LP relaxation approach used in the non-linear paging algorithm. The key idea is to formulate a suitable LP that captures the non-linear constraints of the problem and design an algorithm that efficiently solves this LP online. By identifying the critical constraints that need to be satisfied at each time step, similar to how minimally violating sets are identified in non-linear paging, one can develop algorithms for other online optimization problems with non-linear constraints. Additionally, the concept of primal-dual algorithms, as demonstrated in the non-linear paging algorithm, can be applied to other problems to achieve competitive ratios and efficient solutions.