Abstract

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 Lp spaces, in Hardy space Hp, and in Sobolev spaces Hk,p, for 1 < p < ∞ and k ≥ 0.

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