Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces (Q1283411)

Summary: Fixed point theorems for generalized Lipschitzian semigroups are proved in \(p\)-uniformly convex Banach spaces and in uniformly convex Banach spaces. As applications, its corollaries are given in a Hilbert space, in \(L^p\) spaces, in Hardy space \(H^p\), and in Sobolev spaces \(H^{k,p}\), for \(1<p<\infty\) and \(k\geq 0\).